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Environmental Chemistry
PD Dr. Annette Ladstätter-Weißenmayer
Office
Building:
Room:
Phone:
Email:
NW 1
U2085/S2440
(0421) – 218 – 62105
lad@iup.physik.uni-bremen.de
Environmental Chemistry, A. Ladstätter-Weißenmayer
Overview
T
opic
Lecture
1
2
Introduction / Organisation
Thermodynamic
3 Thermodynamic
4
5
6
7
8
9
10
Chemical Equilibrium
Photochemistry
Photolysis rate, frequency
Chemical lifetime
Heterogenous Reactions
Chemistry of the upper atmosphere
Chemistry of the stratosphere
11
12
Ozone Hole
Tropospheric chemistry
13 Tropospheric chemistry
14 Tropospheric chemistry
Environmental Chemistry, A. Ladstätter-Weißenmayer
Introduction
Organisation:
Exercises: start next week
1st Ex.-Paper this week via e-mail
deadline: Monday or Tuesday next week
Environmental Chemistry, A. Ladstätter-Weißenmayer
Introduction
Environmental Chemistry, A. Ladstätter-Weißenmayer
Introduction
Literature:
P
.W.Atkins, Physical Chemistry, Oxford University Press, 1990
Colin Baird, Environmental Chemistry, Free-man and Company, New
York, 1995
Guy Brasseur and Susan Solom, Aeronomy of the Middle Atmosphere,
D. Reidel Publishing Company, 1986
Guy P
. Brassuer, John J. Orlando, Geoffrey S. Tyndall (Eds):
Atmospheric Chemistry and Global Change, Oxford University Press,
1999
Finlayson-Pitts B. J. and J. N. Pitts, Atmospheric Chemistry
Richard P
. Wayne, Chemistry of Atmospheres, Oxford university Press,
1991
Environmental Chemistry, A. Ladstätter-Weißenmayer
Introduction
Chemical constituents of the Atmosphere
- Protons and electrons: come from the Sun and
created in the atmosphere
- Ion: any species with/without electron
- Atoms: the smallest elemental molecules
- Free radicals: very reactive particles and have at least 1 unpaired
electron
- Free radical ions: has electric charge, produce electrical field and can
pull other molecules from the distance
•
•
•
•
Particles
Clusters
Aerosols
Cloud droplets
Environmental Chemistry, A. Ladstätter-Weißenmayer
Introduction
The evolution of the atmosphere
The atmosphere compositions were created from the earliest processes in the
formation of the solar system and the planets.
The Big Bang created the Universe ~15*109 years
The solar system is 4.6*109 years (and the Earth was formed), based on the
radioactive dating of meteorites.
The evolution of Earth see from the geological table:
Environmental Chemistry, A. Ladstätter-Weißenmayer
Introduction
Environmental Chemistry, A. Ladstätter-Weißenmayer
Introduction
Evolution and changes in atmosphere and climates were modified by the
Environmental Chemistry, A. Ladstätter-Weißenmayer
Introduction
The changing of population and standard of
below
life lead to the CO2 rising as shown
Environmental Chemistry, A. Ladstätter-Weißenmayer
Introduction
The evolution of the atmosphere
Sun system is ~ 4,6× 109 years old
At the beginning only a solar haze exists (a cloud with gas, particles and ice)
This cloud was compressed including temperature increase (from 2-3 K to 2000 –
3000 K at the end of compression)
→ all compounds evaporated
Inner planets: Venus, Earth, Mars only H2, He, C, N2 and oxygen combined with Si,
Fe, Al and Ca
after 107 years planets exist but without atmosphere
Environmental Chemistry, A. Ladstätter-Weißenmayer
Introduction
The evolution of the atmosphere
Primordialatmosphere
1st
Oxygen was combined → so first a reduction of gases in the atmosphere
1st atmosphere: CH4, NH3, H2, H2O
(in the liquid planets: NiO, FeO to Ni and Fe reduced)
→ earth‘s core
Consequently: O2 was produced
→ water vapor, CO2, N2 (probably similar to the atmosphere of the vulcanoes
today)
Environmental Chemistry, A. Ladstätter-Weißenmayer
Introduction
Environmental Chemistry, A. Ladstätter-Weißenmayer
H2O 80%
CO2 10%
H2S 7%
CO 0.5%
CH4 In traces
NH3 In traces
Introduction
Atmosphere today:
Production of:
Hydrosphere: H2O
Lithosphere: carbonates
Biosphere: (O2 was produced)
2 CO2 + UV-radiation → CO + O2
2 H2O + UV-radiation → 2 H2 + O2
6 CO2 + 6 H2O + hν + Chlorophyll→ C6H12O6 + 6 O2
Environmental Chemistry, A. Ladstätter-Weißenmayer
Atmosphere – a thin cover
~ 98% of total atmospheric air masses within the lower 30 km
Environmental Chemistry, A. Ladstätter-Weißenmayer
Introduction
Atmosphere today:
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
Ideal Gas
Assumptions:
· ensemble of individual molecules
· no interaction apart from collision
· no chemical reactions
· no appreciable volume of individual molecules
State properties of a gas: p, T, V, and n
Equation of state for the ideal gas: pV = nRT
or pV = NkT
p = pressure, V = volume, n = number of moles,
N = number of molecules, R = universal gas constant,
k = Boltzman constant, T = temperature
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
Pressure:
1 Pa = 1 N/m²
1 bar = 100 kPa
1 atm = 101.325 kPa = 760 T
orr
Pressure of atmosphere is measured with a barometer
Temperature:
T
emperature tells us about the flow of energy
energy flows from A to B: A has higher temperature
Energy doesn‘t flow: A and B have the same temperature (thermal equilibrium)
Thermodynamic temperature scale: 0°C = 273.15K
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
Gas constant R:
K-1 mol-1
R = 8.314 J
Boyle’s law:
If n, T = constant (isotherm)
pV = constant
p2V2 = p1V1
Gay-Lussac’s law:
If n, p or if n, V = constant (isobar, isochor)
V1/V2 = T1/T2
p1/p2 = T1/T2
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
Ideal Gas
All gases act as ideal gases at very low pressure;
to good approximation, gases in the atmosphere can be treated as
ideal gases with the exception of water vapour (phase changes)
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
Mixtures of Ideal Gases
Dalton’s law:
The pressure exerted by a mixture of perfect gases is the sum of the
pressures
exerted by the individual gases occupying the same volume alone or
p = pA + pB
(air: N2: 78.08%, O2: 20.95%, CO2: 0.04%.
These add up to 100% of dry air, so there are almost no other gases (really,
0.002%)(.
Mole fraction:
The mole fraction of a gas X in a mixture is the number of moles of X
molecules present (nX) as a fraction of the total number of moles of
molecules (n) in the sample:
nx
x =
x
n
with
n = n +
n
+ n +
....
A B C
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
Partial pressure:
The partial pressure of a gas in a mixture is defined as the product of
mole fraction of this gas and total pressure of the gas:
px = xx p
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
Units
Environmental Chemistry, A. Ladstätter-Weißenmayer
Quantity Name Units
Number of molecules N mol = 6.022 x1023
Density N particles / m3
Mass ρ kg / m3
Volume mixing ratio
μ
ppmV = 10-6
ppbV = 10-9
pptV = 10-12
Mass
Mixing ratio μ
ppmm =10-6
ppbm =10-9
pptm = 10-12
Different column
definition
molec/cm2
DU = 10-3 cm at STP
Thermodynamic
Excursion: Ideal Gas Law
The ideal gas law can be expressed in molecules or moles:
or
pV = NkT
pV = nRT
R or R* = Universal gas constant = 8.314 J mol-1 K-1
K-1
10-23 J molec-1
k = Boltzmann’s constant = 1.381
1023 mol-1
NA = Avogadro’s number = 6.022
Molar quantity:
N
=
n
N A
V
n
m
n
V = M =
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
=
R N Ak
Number density:
N
V
p
=
kT
Mass density:
m
V
Nmx mx p M x p M x p
ρ = = = = =
V kT N AkT RT
mx = Mass of one molecule x, Mx molar mass of x
In some books, individual gas constants are defined for each gas:
R
MR =
x
M x
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
Real Gas:
Interactions between molecules are taken into account
Moving in a Volume (V) - smaller volume (V - nb)
With nb: total volume taken by the molecules themselves
Pressure depends on frequency of collisions with walls and the force of each
collision - reduction of pressure -a (n/V)²
2
nRT − a⎛
n
⎞
p = ⎜
⎟
V −
nb
⎝
V
⎠
Often written like Vm = V/n where a/Vm² = internal pressure
RT − a
p = 2
Vm −
b
Vm
2
⎛ ⎞
an
⎟(V
− nb)=
nRT
⎜ p
+
⎝
V 2
⎠
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
Work, heat, energy are basics of thermodynamic, the most fundamental is work
Work is done by the system to bring a change
Energy is the capacity of a system to do work
Energy changes as a result of temperature difference - energy has transferred as
heat
Adiabatic: walls do not permit energy transfer
Exothermic: processes realising energy as heat
Endothermic: processes absorbing energy as heat
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
1st Law of Thermodynamic
example: increase the temperature of 1kg H2O from 14°C to 15°C, the work of 4.18
kJ has to be carried out
no energy is lost, it is only exchanged from one to the other (work – heat)
in the case heat is coming to a system → variation in volume, pressure, content,
temperature = internal energy (total energy of a system) is changing
Each system has an internal energy U, which is only changing when heat (Q)
work is changing
or
∫
U − U 1 = W
+
= − pdV
+
Q = ΔU =
Q dU
2
W can be electrically or mechanically
for V = constant (isochor) dV =0
=
dQ
(dU )V
as follows:
(U − U 1 )V =
Q
2
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
Adiabatic process:
= U2 −U1 =
ΔU
Wad
Mechanical work: work (compression or expansion) is done by moving an
object a distance dz against a force -
decrease (negative value)
internal energy will
dW
= −
Fdz
z 2
W = − ∫ Fdz =
−(z2
z1
− z1 ) =
−mgh
s-2
g: 9.81 m
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
Compression, expansion: isothermal
V 2
W = −
pdV
V 1
V 2
dV V
∫ ∫
V 1
ln 2
=
−nRT
=
−nRT
V V1
Internal energy, heat, work heat have the same unit: Joule (J)
1J = 1 kg m² s-²
1st law: U of a system is constant unless it is changed by doing work
or by heating
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
in a closed system the variation of the internal energy is equal to
heating with the environment when dV = 0
the exchange of
if dp = 0 (isobar)
U − U 1 = Q
−
p (V2
−
V1
)
+ pV1 ) =
Q
2
(U 2 + pV2 ) − (U
1
as follows: the exchange of heat is not now the variation of internal energy it is
U + pV =
H
H = Enthalpy
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
( H 2
−
H1 )
=
Q
, p , n1 , n 2 ,...
=
H f (T n k )
differential
∂H ∂H ∂H
dH =
(
+
(
dp + dn 1 + ...
) dT )T ( )T
p ,n ,n , p ,n j
∂T ∂p ∂n1
( ∂U
) ( ∂U
)
δQ +
δW
= δQ
−
= = dT +
dU pdV dV
V T
∂T ∂V
∂H
) ∂H
)
dH = d
(U
+ pV )
=
dU + pdV +Vdp = dT +
( ( dp
V T
∂T ∂p
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
molar heat capacity for isochor and isobar work:
( ∂Q
∂T
( ∂U
)
c = ) =
V V V
∂T
∂Q
∂T
( ∂H
)
c = ) =
(
p p p
∂T
and cp:
c − c = (
relation between cV
∂H
∂
T
pV
∂U
∂T
−
(
) )p
p V p
H = U
+
=
U
+
nRT
( ∂U
) ( ∂U
)
c − c
=
+ nR
−
=
nR
p V p p
∂T ∂T
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
dU
work of adiabatic expansion: as
c =
V
dT
cV
∫ ∫
W = dU = dT = − T1 ) = cV Δ
cV ( T 2 T
Special cases:
irreversible adiabatic expansion:
−pex ΔV
pV = nRT
ΔT =
cV
irreversible adiabatic expansion:
−nRdV
cV dT
c dT = − pdV ⇒ =
V
T V
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
it is impossible that heat is converted to mechanical energy (work) and we have to
find solutions for irreversible processes as follows:
2nd Law of Thermodynamic
new function is introduced: Entropy S
dQrev
S = nR ln(
V2
)
= dS =
S
−
2 1
T V1
Because isotherm → dT =0 reversible
∂U
∂T
dU = dQ − pdV =
(
dT = 0
)V
dU =dW + dQ
⎛V
⎞
ln⎜ 2
⎟
− dQ =
dW
=
nRT ⎝ V1
⎠
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
dQrev
nR ln(
V2
)
= dS = S
−
S =
2 1
T V1
∂S
∂T
∂S
∂V
dQrev
dS = =
(
+
(
) dT ) dV dependent of T and V
V T
T
∂S
∂T
∂S
∂p
dQrev dependent of T and p
dS = = ( ) dT +( ) dp
p T
T
Reversible exchange of heat with environment
∂U
∂U
∂V
dU + pdV 1 ⎡ ⎤
) dV + pdV
dS = = ( ) dT +(
T ⎢
⎣ ∂T V T
T
dH −Vdp 1 ⎡ ∂H
∂H
∂p
) dp −Vdp⎤
dS = = ⎢( ) dT +( ⎥
p T
∂T
T T ⎣ ⎦
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
∂S
∂T
( ∂S
∂p
dU +pdV dH −Vdp
dQrev
dS = =
(
dT + dp = =
) )
p T
T T T
As follows:
1 ⎡( ∂U
cV
dT ) + p⎤
dV
dS = +
T ⎢
⎣ ∂V T
T
cp 1 ⎡( ∂H
) − V ⎤dp
dS = +
dT ⎢ ⎥
T
∂p
T T ⎣ ⎦
in the case of changing the phase (e.g. liquid – solid) reversible: entrophy of
changing is used
dH −Vdp
dQ
T
=
dS =
T
ΔH
ΔS =
For isobar and isotherm:
T
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
Normally all reactions are irreversible but in the case of equilibrium - changing the
phase:
ΔH
T
ΔS = ⇒ TdS = dH
dS =0
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
1st
in the case of a closed system and using the law of thermodynamic:
dU
T
dS − ≥ 0 ⇒ (V, T = constant)
(p, T = constant)
T
now with Helmholtz (free energy A) and Gibbs (free enthaphy G) new functions are
introduced:
A = U −
TS
G
=
Δ
A
=
ΔG =
H
−
TS
Δ
U
−
T
Δ
S
ΔH − TΔS
in the case G is positiv the reaction is not spontaneous and in contrast if G is
negativ the reaction is spontaneous
Environmental Chemistry, A. Ladstätter-Weißenmayer
dS −
dH
≥ 0
⇒
Thermodynamic
4 thermodynamic functions: U, H, A, G
Closed system, homogenic compound
Work only as so called “volume-work”
1st
Internal energy following the
“volume-work”:
law and replacing dQ with entropy and dW with
dU = dQ + dW
=
TdS − pdV
Enthalphy: H = U + pV, dH = dU + pdV + Vdp
dH = TdS +
Vdp
dA = dU - TdS - SdT
dA
= −
SdT
−
pdV
dG = −SdT +
Vdp
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
ÖGuggenheim scheme:
∂U
∂S
∂H
∂S
⎛ ⎞ ⎛ ⎞
T = =
⎜
⎝
⎟
⎠
V
⎜
⎝
⎟
⎠
p
−⎛ ∂
⎞
U ∂A
⎛
⎞
p = =
−⎜
⎜ ⎟ ⎟
⎠
T
∂V ⎝
∂V
⎝ ⎠
S
A
⎜
⎟
∂
−⎜
∂G
−
⎛
⎞ ⎛ ⎞
S = = ⎟
⎠
p
⎝
∂T
∂T
⎠
V
⎝
⎛
∂
⎜ H
⎞
⎛
∂
⎜ G
⎞
V = ⎟
=
S
⎟
∂p ∂p
⎝ ⎠ ⎝ ⎠
T
Environmental Chemistry, A. Ladstätter-Weißenmayer
S U V
+ H A -
p G T
Thermodynamic
Definitions:
Adiabatic: no exchange of energy (walls do not permit energy transfer)
Diathermic: contrast to adiabatic
Exothermic: process when heat (energy) is released
Endothermic: contrast to exothermic (absorbing of energy)
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
Thermodynamics of mixture
Partial molar volumes of the components of a mixture
⎛ ⎞
∂V ⎟
⎜
V =
⎜ ⎟
j
∂n
⎝ ⎠
j p ,T ,n '
nj are the numbers of moles
the composition of the mixture (e.g. H2O and
addition of e.g. dnA of A)
C2H5OH) is changed by the
⎛ ⎞ ⎛ ⎞
∂V ∂V
⎜
⎝
in the case
⎟ ⎜
⎝
⎟
⎠
dV = dn + = V A dn + V B
dn
dn
A B A B
∂n ∂n B
A
⎠
p ,T ,n p ,T ,nA
B
we know the partial molar volumes then the total volume
V =
n
+ n BV
B
AV A
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
partial molar quantity can also be expressed by the partial molar Gibbs function
⎛ ⎞
∂G
⎟
⎜
μ =
⎜ ⎟
j
∂ n
⎝ ⎠
j p ,T ,n '
→ total Gibbs function
G
=
n A
μ A
+
nB
μ
B
μA μB are the chemical potentials (or molar free enthaphy) at the composition
changing
dG
=
n Ad
μ A
+
nB d
μ
B
at constant pressure and temperature
n Adμ A + nB dμ
B
=
0
∑ n j d μ =
0
j
two gases at a temperature and a pressure
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
→ Gibbs function of mixing
p A pB
ΔG =
n
+
n
RT ln RT ln
mix A B
p p
other thermodynamic mixing functions
∂G
− S =
∂T p ,n
a mixture of a perfect gas
∂ΔGmix
⎞
⎛ = −nR
(x
xB )
ΔSmix =
−⎜
⎝
+
ln x x ln
⎟
⎠
A A B
∂T p,nA ,nB
since lnx < 0 → ΔSmix > 0
the enthalpy of mixing is then:
ΔG = ΔH −
TΔS
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
Chemical equilibrium:
(ΔG)p,T =
0
Chemical reaction, if the chemical potential is decreasing:
(ΔG )p
,T
<0
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
For isothermal processes ΔT = 0
and ΔHmix = 0 (constant p, T)
The chemical potential of liquids :
At equilibrium:
⎛ p
⎞
Θ
μ = μ +
RT
ln =
⎜
⎝
⎟
⎠
Θ
p
with the chemical potential
∂G
∂n
⎛ ⎞
μ = ⎜
⎝
⎟
⎠p ,T
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
Ideal solution:
The chemical potential of pure liquid A is μ*A(l)
The vapor pessure is then: p*A
Chemical potential in vapor is:
p ∗A
pΘ
μ + RTln
Θ
A
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
the both chemical potential are equal at equilibrium:
p ∗A
pΘ
μ A ∗ (l) = μ ∗+RTln
Θ
A
in addition an other substance is present then:
The chemical potential of A in the liquid is μA(l) and its
In this case:
μA (l) = μA + RT ln⎜
vapor pessure is then: pA
⎛ pA
⎞
Θ
⎟
⎠
Θ
p
⎝
to eliminate the standard potential of the gas the eqn. are combined
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
Henry’s Law
With xB (mole fraction of solute) and KB is a constant (with dimensions of pressure)
Spontaneous chemical reactions
A + B → C + D
A, Reaction completed: all the transformed to products
B, reaction partially: equal A + B and C + D
C, no reaction: only reactants
A → B
Environmental Chemistry, A. Ladstätter-Weißenmayer
Thermodynamic
A ↔ B equilibrium
perfect gas equilibrium:
⎛ pB ⎞
⎛
pA
⎞
Θ Θ
ΔG = μB − μA = ⎜μB +
RT ln
⎟ − ⎜μA +
RT ln
⎟
⎠
Θ Θ
p p
⎝ ⎠
⎝
pA
the ratio of the partial pressures is an example of reaction quotient Qp
Δ
G
= Δ
G
+
RT ln Q p
at equilibrium ΔG = 0, the value of the reaction quotient = equilibrium constant Kp
Θ
⎛ ⎞
⎜ pB
⎟
K =
(Q
) =⎜ ⎟
p p equilibriu m
p
⎝
A
⎠
eq
then with ΔG = 0, Qp = Kp
Θ
= − Δ
G
RT ln K p
Environmental Chemistry, A. Ladstätter-Weißenmayer
ΔG = ΔGΘ + RT ln
pB
Thermodynamic
e.g 2A+ 3B → C + 2D
Θ Θ Θ Θ
ΔGΘ =
−2μ
−3μ +
μ
+
3μ
A B C D
2
⎛ ⎞
aC aD
⎟
= (Q
)
⎜
K = ⎜ ⎟
equilibrium 2
a 3
a
⎝ ⎠e
q
A B
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemical Equilibrium
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemical Equilibrium
Gibbs-Energy is defined: G = U + pV −
TS
H =
U
+
pV
U =
H
−pV
As →
G = H
−
pV + pV − TS= −
TS
H
With U, V, S and H
Often the differential form is used:
dG = dU + d ( pV ) − d
(TS )
=dQ + dW
+
−
d( pV ) d(TS)
dQ
T
And dS = → TdS =
dQ
dG = TdS − pdV +
pdV
+Vdp − TdS − SdT = Vdp −
SdT
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemical Equilibrium
If the number of moles are not const:
dU = TdS − pdV +
Σμidni
dG = −SdT +Vdp +
Σμidni
At the equilibrium, the term of Gibbs energy equal zero, .
dG =0
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemical Equilibrium
Any reactions try to move toward the equilibrium in both reactant and product and
time is needed to reach the equilibrium e.g. in the atmosphere at the present time,
CO2 is rising to reach the equilibrium temperature.
Chemical Equilibrium: the state in which the chemical activities or concentrations of
the reactants and products have no net changed over time. The reaction rates of the
forward and reverse reactions are generally not zero but, being equal, there are no
net changes in any of the reactant or product concentrations. This process is called
dynamical euqilibrium
In this path, we will use the thermodynamics to describe the equilibrium under the
reaction conditions. In term of Gibbs energy for the perfect (ideal) gas,
ln
pA
ΔG = ΔGΘ +
RT pB
as pA is the partial pressure of reactant A and pB is the partial pressure of product B.
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemical Equilibrium
At the equilibrium, the term of Gibbs energy equal zero, .
ΔG =0
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemical Equilibrium
Let consider the reaction;
ν A A +ν B B ⇔ νC C +ν D
D
in term of the reaction activity, we define the ratio of partial pressures at equilibrium
as the thermodynamic equilibrium constant (as denoted Kp). Thus the Gibbs energy
of the standard state can be written as:
νC ν D
aC aD
= ∏
a
J
Θ ν
− Δ
G
=
RT ln K p
− ΔG / RT = ln K
p
K = J
p ν ν
aA aB
A B
;
Θ
aνi
J is the partial pressure of substance J having mole. νi
The equilibrium constant can be defined in term of concentration, Kc.
[D]ν D
[C]ν
C
KC =
[A]ν A
[B]ν
B
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemical Equilibrium
Example: combustion process in motor:
N 2 + O2 ⇔ 2
NO
[NO
]
2
[N 2][O2
]
kforward
=
K =
kbackward
The rate constants and the concentration of the reactants and products are
considered in the equilibrium constant
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemical Equilibrium
The relationship between equilibrium constants in terms of partial pressure (KP)
and concentration (KC) can be determined by using the ideal gas law.
nRT
V
p =
νC ν D
ν ν
⎛ ⎞ ⎛ ⎞
C D
RT RT
⎜ ⎟
⎜
⎟
[C] [D]
(
ν ν
ν ν
aC a V V C D
C D
⎝ ⎠
⎝
⎠ )Δν j
D
K = = = RT
[A] A
[B]
P ν ν ν ν
ν ν
a A
a B
⎛ν A
⎛ν
B B
⎞ ⎞
A B A B
RT RT
⎜
⎝
⎟
⎜
⎠
⎝
⎟
⎠
V V
K = K
(RT
)Δν j
P C
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemical Equilibrium
How equilibria respond to pressure?
Henry’s law (real solution)
For the real solutions at low concentration, the proportional of its mole fraction (XB)
and the vapour pressure of the pure substance (PB) is constant (KB).
pB =
X
B KB
Or the concentration of a gas in a solution is direct proportional to the partial
pressure of the gas over the solution. The propornality is difined by K (Henry's law
coefficients representing solubility (i.e. aqueous-phase composition divided by gas-
phase composition) . This law is mostly used to understand the real atmosphere,
for example the reaction:
N2O5 (g) + H2O (l) → 2HNO3
in form of stick to N2O5 (g) stick to the surface of H2O (l)
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemical Equilibrium
Additional superscripts denote which properties are used for Henry‘s law:
[mol/(kg*atm)]
kH,inv
kH,inv
kH,inv
Environmental Chemistry, A. Ladstätter-Weißenmayer
symbol definition description unit(s)
kH
cp c/p aq-concentration / partial pressure [mol/(m3*Pa)] or [M/atm]
kH
cc c/c aq-concentration / gas-concentration dimensionless
kH
bp b/p molality / partial pressure
[mol/(kg*Pa)] or
kH
xp x/p molar fraction / partial pressure [1/atm]
px p/x partial pressure / molar fraction [atm]
pc p/c partial pressure / aq-concentration [m3*Pa/mol]
cc c/c gas-concentration / aq-concentration dimensionless
Chemical Equilibrium
Raoult’s law (ideal solution)
The ratio of the partial pressure of each component to its vapour pressure as a pure
liquid
pA
pA *
is approximately equal to the mole fraction of A in the liquid mixture.
pA: partial pressure over liquid, pA*: partial pressure of liquid
pA = X A pA *
Example:
A ⇔ 2B
The reaction:
at t=0 the molar reactant A = n and the product B = 0
at t=t the molar reactant A = n(1-α) and the product B = 2nα
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemical Equilibrium
(1 −α)n 1 −α
the mole fraction x = =
(1− α )n +
2nα
A
1 +
α
2nα
(1 − α )n
+
2n
xB = =
the mole fraction
2nα 1+
α
2 2
⎛ ⎞ ⎛ ⎞
p x p
⎜
B
⎟
⎜ B
⎟
2
⎝pΘ ⎠ ⎝ pΘ
⎠
4α² p
xB p
K = = = =
(1 − α
)pΘ
P
⎛ p
⎞
⎛ x
p
⎞ xA pΘ
⎜
⎝
A
⎟
⎠
⎜
⎝
A
⎟
⎠
pΘ pΘ
1
⎛ ⎞
2
⎜ ⎟
⎜ K p
⎟
α =
p
⎟
⎜
⎜K p +
4
⎟
pΘ
⎝ ⎠
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemical Equilibrium
It shows that the amounts of A and B depend on pressure. For example, if P is
increased, the amount of α will decrease to reach the new equilibrium, (the
equilibrium constant, Kp, is independent of pressure.
⎛∂K
⎞
⎠
T
⎜
⎝
⎟ =
0
∂p
This corresponds to Le Chetalier’s principle.
Le Chetalier principle
“A system at equilibrium, when subjected to a disturbance, responds in a way that
tends to minimize the effect of the disturbance.”
e.g. if you want to have more products → change:
1.
2.
T or/and p
Increase concentration of reactants or decrease the concentratopn of product
continously
An additional catalysator
3.
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemical Equilibrium
How equilibria respond to temperature?
From the Gibbs energy of the standard state at the equilibrium;
Θ
−
ΔG
=RT ln K p
ΔGΘ
=−
ln Kp
RT
1 ∂ Θ
∂ ΔG
=−
ln Kp
∂T R ∂T T
Environmental Chemistry, A. Ladstätter-Weißenmayer
Gibbs-Helmholtz-Equation
G =H −
TS
connection G, H, TS:
∂G
∂T
⎛
⎜
⎞
⎟ =−
S
Isobare modication of G with T:
⎝ ⎠
p
∂G
∂T
H −G
⎛
⎜
⎞
⎟ =−
Replacement of S:
T
⎝
⎞
⎠
p
G
T
∂G
∂T
H
T
⎛
⎜ − =−
All G on left side:
⎟
⎝ ⎠
p
1 ∂G G
− H
⎛
⎜
⎞
⎟ − =
Division by T:
T 2
T 2
T ∂T
⎝ ⎠
p
Environmental Chemistry, A. Ladstätter-Weißenmayer
Gibbs-Helmholtz-Equation
∂G
∂T
1
T
G
− H
⎛
⎜
⎞
⎟ − =
T 2
T 2
⎝ ⎠
p
∂ G
T
− H
⎛
⎜
⎞
⎟ =
Summary on right side:
T 2
∂T ⎝ ⎠
p
Product law:
∂ ∂ ∂
G
T
1
T
1
T
⋅ ⎛ − 1
⎞
⎛
⎜
⎞
⎟
⎛
G
⎞
⎟ (G
)
= ⋅ = ⋅ +
G
⎜ ⎜ ⎟
T 2
p
∂T ∂T ∂T
⎝ ⎠
p
⎝ ⎠
p
⎝ ⎠
Environmental Chemistry, A. Ladstätter-Weißenmayer
Gibbs-Helmholtz-Equation
⎜ ⎟
T 2
∂T T
⎝ ⎠
p
Connection of temperature dependency of Gibbs-Potential and Enthalpy
∂ ΔG
T
ΔH
T 2
⎛
⎜
⎞
⎟ =−
∂T ⎝ ⎠
p
van‘t Hoff‘
Reaction isobare ⎜ ⎟
RT 2
∂T
⎝ ⎠
p
Environmental Chemistry, A. Ladstätter-Weißenmayer
⎛ ∂
ln K
⎞ =
Δ
H
°
∂ ⎛
G
⎞ = −
H
Chemical Equilibrium
Use the Gibbs-Helmholz equation:
∂ ΔGΘ ΔH Θ
⎛ ⎞
⎜
⎝
⎟
⎠
=
−
∂ T T ²
Therefore,
∂ ln K ΔH Θ
p
=
T²∂(1/T
)
RT ²
∂ ln Θ
∂ ln K Θ
K p Δ Δ
H H
and p
= =
∂(1/T
)
R ∂T RT ²
These are the simplifies of the van ‘t Hoff equations, which show the changing
of temperature in equilibrium is dependence on the changing of enthalpy.
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photochemistry
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photochemistry
Photochemistry
Photochemisty: chemical reactions initiated by light
Conditions: absorption of light of the molecule which reacts in a wavelenght
region of the incoming light
Absorption of light leads to an energetic
exited level of a molecule
This additional energy can be lost by emission
(singulet-level = flourescence) or triplel-level =
phosphorescence)
Or without radiation = collision, chemical reaction
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photochemistry
Environmental Chemistry, A. Ladstätter-Weißenmayer
Ground level
Excited Triplet level
Excited Singlet level
Photochemistry
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photochemistry
E + hν
hν hν
ΔE = Ej - Ei = hv
E
10-4
Rotation levels: eV
5*10-2 eV
Vibration levels:
Electronic levels: 3.00 eV
Lifetime: crossing from one to the other level, stay on an exited
level (eletronic: in VIS-wavelenght region = 10-9s
rotational: in mirco wave region = 103s)
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photochemistry
Photochemistry
Most chemical processes in the atmosphere are initiated by photons. The general
reaction:
ABC + hν → product
The rotational energy
At low energy:
in microwave or FIR wavelengths) : λ > 25 μm
(rotation excited)
ABC + hν → ABC
*
Molecules will be emitted or collided the original molecule itself.
ABC +
hν
→ ABC* → ABC + hν
or
ABC +
hν
→ ABC* → ABC
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photochemistry
The rotational energy is EJ :
EJ = +
1)
BJ (J
J= constant rotational number
1
I
μr²
B ≈ I =
m1m2
μ = = reduced mass
m + m
1 2
For example: IHCl = 1 and ICl2 = 1/37 ,
The small value of I has large B, it introduces to the large energy EJ value, therefore .
EJ ,Cl >EJ ,HCl
2
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photochemistry
The vibrational energy
At higher energy:
in thermal IR wavelength, 2.5 μm < λ < 25 μm.
(vibrational excited )
ABC +
hν
→ ABC *
or emit
ABC +
hν
→ ABC + hν '
'
→ ABC*
collision
ABC + hν → ABC* →
ABC
Molecules will be collided or emitted the original molecule itself with the vibrational
energy Eν :
1
2
⎛ ⎞ 1 k 1 1
Eν = hν0 ⎜ν
+
⎝
μ =
⎟
⎠
ν0 = +
μ1 μ2
2π μ
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photochemistry
Combination of rotation and vibration
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photochemistry
Combination of rotation and vibration (spectrum)
Spectrum of benzene
gas phase liquid
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photochemistry
Spectrum of CO
ν
~ Δν
~ ν
~ Δν
~
Line Line
P(1) 2139
.43 R(0) 2147
.08
3.88 3.78
P(2) 2135
.55 R(1) 2150
.86
3.92 3.73
P(3) 2131
.63 R(2) 2154
.59
3.95 3.72
P(4) 2127
.68 R(3) 2158
.31
3.98 3.66
P(5) 2123
.70 R(4) 2161
.97
Δν=ν0-2BJ Δν=ν0+2B(J+1)
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photochemistry
The electronic energy
At high energy: in UV and
visible
molecules
vibrated,
wavelengths,
will
rotated
be
and
have electronic transition.
In the physical processes
lead to emission of
radiation and energy is
converted to heat.
In the photochemical
processes
several
lead to the
as
pathways
shown in the figure.
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photochemistry
Atomic and molecular spectroscopy:
´
In general, an atomic term symbol is of the form
2S+1LJ,
where 2S+1 represents the spin multiplicity of the
atom,
L represents the orbital angular momentum of the
atom and J represents the total quantum number,
J = L+S.
Example 2p
Oxygen atom
2s
Electronic configuration is 1s2 2s2 2p4.
1s
Atomic term symbol at ground state is 3P2.
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photochemistry
Light
source Absorption cell
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photo detector
Screen
Reference cell
Spectrometer
Photochemistry
Oxygen molecule
In atmosphere, the oxygen molecule is formed by photolysis of ozone.
(3
Σ−)
+
O(3
P
)
) +
O(1
D)
O + hυ ⎯
⎯→O triplett
3 2 g
(1Δ
−
⎯
⎯→O singulett
2 g
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photochemistry
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photolysis rate, frequency
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photolysis
Photolysis rates and frequency
rate, frequency
The general reaction:
AB + hν → product
The photolysis rate from the reaction is
d
[ AB] = −J1[
AB]
dt
where as [AB] = concentration of AB substance
d
[AB] = photolysis rate
dt
→ τ = 1/J with J in [s-1])
J1 = photolysis frequency (similar to k
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photolysis rate, frequency
J: Integration of product of spectral actinic flux I (intensity of light), spectral
absorption coefficient σ [cm²](area in which one photon is absorbed) and
relative quantum yield (Ø [cm-2 s-1])
λax
J1 (λ,T )
=
∫I(λ)σ (λ,T)Φ(λ,T)dλ
λmin
Photons can arrive from all directions on the molecule → spheric flux has to be
2
π
∫
0
π
∫
0
considered
I(λ) = R(λ,θ )dΩ
dΩ = sin
θdθdϕ
dΩ
Φ
Θ
infinitesimal solid angle
azimuth
solar zenith angle
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photolysis rate, frequency
Quantum yield (Ø) is the relative efficiency of various photophysical and
photochemical processes.
number of molecule photolysed by the chemical process
φ
= total number of photo absorbed
O2 +hν → O +
O
For example:
Φ is wavelength dependent, all important at different λ.
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photolysis rate, frequency
Quantum yields for NO3 photolysis: (dotted line) NO3→ NO2 + O
NO3→ NO +
O2
(solid line)
(dashed line), fluorescence quantum yield (From F-P&P)
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photolysis rate, frequency
J depends on
– Light intensity from all directions “Actinic flux”
– Absorption cross section (σ)
– Quantum yield for photodissociation (Φ)
– All are functions of wavelength
λ
2
∫
λ1
Iλσ (λ )φ(λ
)dλ
J
=
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photolysis rate, frequency
e.g. Destruction and production of O3
O3 + hν (l< 310 nm) → O + O2 J1
O + O2 + M → O3 + M k3
Productionrate:
d [O3]/dt = k3 [O][O2][M]
Both processes production and destruction are very fast → equilibrium:
Production = destruction
J1 [O3] = k3 [O][O2][M]
[O]/[O3] = J1/k3[O2][M]
As [O2] and [M] decrease with increasing height → [O]/[O3] increase
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photolysis rate, frequency
In addition O is produced by the photolysis of O2
O2 + hν (λ< 230 nm) → O + O J2
d [O]/dt = J2 [O2]
Photolysis rates of O2 (J2) and O3 (J1)
at different heights h.
Measurements at the same time of ozone over T
exas
Environmental Chemistry, A. Ladstätter-Weißenmayer
Height
[km]
Height
h
Photolysis rate, frequency
Kinetics
Order of reaction:
Overall = sum of more than one elementary reaction
The order with respond to the individual reactant
First order reaction
A
→
B
d[ A]
− = k[
A]
dt
d[A]
− =
kdt
[A]
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photolysis rate, frequency
d[A]
− =
kdt
[A]
[ A]
∫
[ A]0
t
−∫
kdt
0
d[A]
=
[A]
order
[A] =[ A] exp(−kt
)
[A]
=
−kt
ln 0
[ A]0
time
1
[ A] = [
A]0
2
1
[ A]0
ln 2 ln 2
1
2
t =
=
ln
=
−kt
1
2
1
2
k
[ A]0
Environmental Chemistry, A. Ladstätter-Weißenmayer
1st
Photolysis rate, frequency
1st order: A → C + D
2nd order: A + B→ C + D
3rd order A + B + M→ C + M
Molecularity of Reactions
• Unimolecular: overall is first order.
AB
→
A
+
• Bimolecular: overall is second order, two
B
body reactions
A+ BC → AB +
C
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photolysis rate, frequency
overall is third order, three body reactions, association reactions.
example
O + O2 + M → O3 + M
• T
ermolecular:
M = usually N2 or O2 for atmosphere
aA + bB → cC+
dD
The general reaction:
d[A] d[B] d[C] d[D]
= = =
−
=
−
Rate of reaction
dt dt dt dt
Rate of reaction in terms of concentrations can be written:
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photolysis rate, frequency
Rate of reaction, = k[A]a[B]b where as k is rate constant.
For elementary reactions (a + b ≤ 3), the Arrhenius equation can be apply to
calculate the rate constant k
→ temperature dependence of rate constant is given by Arrhenius equation
Ea
⎞
k = Aexp⎛
−
⎜
⎝
⎟
⎠
RT Ea for the production
Ea for the
destruction
where as A = pre-expectation factor
Ea = Activation energy
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photolysis rate, frequency
The collision theory
A + BC → [ ABC
]
nc
Collision rate for molecules A and BC =
4
where as n = number of molecular density (concentration) and
c = mean velocity
d[A]
][BC]σ c
− = [
A
when no reaction occurs.
dt
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photolysis rate, frequency
d[A] Ea
⎞
= [ A][BC]σ c exp⎛
−
− ⎜
⎝
⎟
⎠
when reaction occurs.
dt RT
8kT
πμ
c = k = Boltzmann constant
µ = reduced mass
)2
σ = π
(r
+
r
= collision cross section
A BC
Therefore, in collision theory:
Ea
⎞
c exp⎛
−
k =
σ
⎜
⎝
⎟
⎠
C
RT
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemical lifetime, chain reaction
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemical lifetime, chain reaction
Chemical lifetime
A →
First order reaction:
product
d
=−k1[ A]
Rate of reaction [A]
dt
s-1
Unit of k1 =
concentration is often ~ to measured reaction rate
Chemical lifetime
1
k1
Unit of τ1 = s
Environmental Chemistry, A. Ladstätter-Weißenmayer
τ =
1
2nd order
1st order
0. order
Chemical lifetime, chain reaction
Second order reaction:
A+ BC →
product
Rate of reaction: d
[ A] = −k2 [ A][BC
]
dt
d
[ A]= k[
B]
dt
The true rate law is forced to be first-order form, called a pseudo-first-order rate law
and
k = k2 [
A]
Unit of k:= cm³ molecule-1s-1
Chemical lifetime 1
k
1
τ (A) = =
1
k2[BC]
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemical lifetime, chain reaction
= 5x105 molecule cm-³
[OH]global
1st example: OH + CH 4 → CH 3 + H
2O 1
(298K) = 1x10−
14
cm3
molecules−
1
s
−
1
k = 2x108
s ≅ 10
years
τ1 ( CH 4 )
=
CH4
k3[OH]
2nd example: OH + CO + M → CO
2
+ +
H M
[M ] ≅ 1x10−
13
cm3
molecules−
1
s
−
1
k 1
≅ 2x107
s ≅
8months
τ (CO) =
CO
1
k[OH]
OH + NO2 + M → HNO3
+
M
3rd example:
) = 1
[M ] ≅ 1x10−
11
cm
3
molecules
−
1
s−
1
k ≅ 2x105
s ≅
2.3days
τ (NO2
NO 2 1
k[OH]
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemical lifetime, chain reaction
In equilibrium (or stationary state or steady state), the production rate (P) and loss
rate (L) are equal.
d
[ A]= 0 = P −
L
dt
Example: For equilibrium reaction:
NO2 +NO3 + ↔ N2O5 +
M
M
d[N2O5 ]
=0 = P
−
L =
k
][NO ]
−
[NO k [N O ]
+ 2 3 − 2 5
dt
k− [NO2 ][NO3 ]
K = =
k+ [N2O5 ]
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemical lifetime, chain reaction
(3rd
For the termolecular order) reaction:
A
+
BC
→
ABC* →
k1
ABC *
A +
BC
k2
ABC *+M → ABC
+
M k3
d[ABC]
= 0 = k [ A][BC] − k [ ABC*] − k [
ABC*][M ]
1 2 3
dt
Assume that [ABC*] is in the steady state:
d[ABC]
= k [A][BC] − (k + k [M ])[
ABC*]
1 2 3
dt
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemical lifetime, chain reaction
d[ABC]
= k [ A][BC] − (k + k [M ])[
ABC*]
1 2 3
dt
k1[ A][BC]
[ ABC*]
= k2
+
k3[M ]
d[ A]
d[ABC] d[B]
=− =
−
= k3[
ABC*][M
]
dt
d[ABC]
dt dt
k1[ A][BC]
= =
k [M ] k"' [A][BC]
3 complex
k2 + k3 [M ]
dt
k1k3[M ]
=
k"'complex
k2 + k3[M ]
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemical lifetime, chain reaction
At low pressure k2 > k3[M]
k1k3[M ]
=
k"'complex,lowP
k2
A exp(− T3
) A exp(− T1
)[M
]
T +T −T
A A
3[
T 1
T 1 3 3 1 2
= = [M ]exp−
(
k"' )
complex,lowP
T A T
A exp(− 2
) 2
2
T
Ta
= A
exp(−
k" 'complex,lowP )[M ]
T
Ea
T =
i
R
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemical lifetime, chain reaction
T1
)
T
At high pressure k3[M] > k2
=k =A exp(−
k"'complex,highP 1 1
Complex Reaction:
A + B ⇔ ABC → AB +
C
- ABC is complex formed at top of
energy hill.
- It referred to as transition state.
- T
er-molecular is just one good example
of the complex elementary reaction,
when the transition state of elementary
reaction has a living long enough.
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemical lifetime, chain reaction
Chain reaction:
A2 + hν → 2A
Initiation: k1
Propagation: k2
A + BC → AB
+
C
DB +
A
AB
+
D →
k3
T
ermination: A
+
AB → A2 B k4
Chain Length: CL
k2 [BC][ A] k2 [BC]
CL = =
A
k4 [ A][ AB] k4 [ AB]
1 1 1
A and AB are chain carriers
=
CL CLA CLBC
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemical lifetime, chain reaction
Chain reaction: Example
CH4 + O2 → CH3 +
HO2
Initiation:
Propagation:
CH3
+
OH +
O2
→
CH2O
+
OH
CH4 → H2O +
CH3
1st reaction
2nd reaction:
OH + CH2O → H2O +
CHO
CHO +O2 → HO2 + CO
HO2 + CH2O → H2O2 +
CHO
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemical lifetime, chain reaction
H2O2 +M → 2OH +
M
Intersection:
Propagation:
OH +
CO
→ CO +
H
3rd reaction
2
HO2 + M
H + O2
+
→
M
+ → CO2 + OH
HO2 CO
T
ermination:
+
→
→
H2O
+
O2
H2O2 +
O2
OH
HO2
HO2
+
HO2
Environmental Chemistry, A. Ladstätter-Weißenmayer
Heterogenous Reactions
Environmental Chemistry, A. Ladstätter-Weißenmayer
Heterogenous Reactions
Heterogeneous reactions
Homogeneous reactions: reactants are in the same phase, reactions between two
gases, two liquids or two solids
Heterogeneous reactions: reactants are in two or more phases and/or reactions on
the surface of a catalyst of a different phase
(manufacturing engineers have used surface
reactions for synthesis of micro and nanoscale
features in biomedical devices)
CO2 formation
Environmental Chemistry, A. Ladstätter-Weißenmayer
precipitation
Heterogenous Reactions
• The heterogeneous interaction of HCl with chlorine containing reservoir
molecules (e.g. ClONO2 and HOCl on low-temperature ices leads to the
release of Cl2 → effect on atmospheric chemistry in the polar regions
("ozone hole“)
• heterogeneous reactions of NOx leading to N2O in the presence of SO2 and
airborne particles→ heavily polluted environments (power stations)
Eva- flux
smelting
on
frozen
ture
density
Environmental Chemistry, A. Ladstätter-Weißenmayer
land
Flow in
Gas (CO2)-
exchange
Heat
Eva- wind
porati
Ocean Salt/
ice Tempera-
flow
ocean
ice
atmosphere
Heterogenous Reactions
5 examples for heterogenous reactions:
• interaction of atmospherically relevant molecules (e.g. H2O and NO2 with
combustion aerosol (soot) particles
→ important in the planetary boundary layer and upper troposphere in
relation to aircraft-induced Cirrus cloud formation
• NO2 in a chemical oxidation-reduction reaction on soot result in HONO or
in NO (depending on type of soot)
→ HONO important OH source early in the morning which controls the
development of photochemical smog
• heterogeneous interaction of HX (X=Cl, Br) on ice reveals that an interface
region of approximately 100-200 nm thickness (depending on type of ice,
the HX/ice interface controls a large extent the kinetics of effective
bimolecular reactions with reservoir molecules e.g. ClONO2 and HOCl)
Environmental Chemistry, A. Ladstätter-Weißenmayer
Heterogenous Reactions
Environmental Chemistry, A. Ladstätter-Weißenmayer
Heterogenous Reactions
Heterogeneous condensed surface phase reaction
Multiphase reactions, for example, SO2 and H2O2 diffuse to the cloud droplet.
SO2 (g) H 2O SO2 (l)
− +
+
SO (l) H O HSO H
2 2 3
− 2− +
+
H
O → SO +
H
+
HSO
In stratosphere,
O H
3 2 2 4 2
ClONO2
+
HCl(l)
→
Cl2
+
HNO3 (l
)
It occurs in flog, aerosol, surface of ocean, plants or PSC.
Environmental Chemistry, A. Ladstätter-Weißenmayer
Heterogenous Reactions
Liquid phase reaction : diffusion controlled kinetic behaviour.
The diffusion-controlled rate constant (kD) is kD = 4πrAB*DAB, where as
diffusion coefficient for the reaction.
DAB is the
Na+ + H O
→
+
The example is Na+ in H2O.
NaOH +H
2
−9 2
−1
DAB
rAB
=
1.3
×
10 m
s
= 0.5nm
≅
8
×
10
−
12
cm 3
molecule
−
1
s
−
1
≅ 6.02 × 1023
⋅ 8 × 10−
12
⋅ 10−
3
≅ 5 × 109
dm3
mol −
1
⋅
k =
4πr
⋅D
D AB AB
s −1
Environmental Chemistry, A. Ladstätter-Weißenmayer
Heterogenous Reactions
In general, the rate constant of the gas phase(kG)
kG ≡ 2*1011 dm³ mol-1
.
s-1
Therefore, kD ≡ 400 kG faster than gas phase reaction.
Liquid phase reaction
Environmental Chemistry, A. Ladstätter-Weißenmayer
Catalytic active surface
Heterogenous Reactions
Multiphase reactions
1.
2.
3.
4.
5.
Gas diffusion
Absorption
Diffusion into the surface (not so fast)
Chemical reaction in liquid
Diffusion of products
to the surface 1
6. Desorption of products
to the surface
Environmental Chemistry, A. Ladstätter-Weißenmayer
5
4
6
2 3
Heterogenous Reactions
Uptake coefficient, γ, is the ratio of molecules lost to a surface to the number of gas-
surface collisions.
The rate of collision of a molecule X with an area A of the surface is ω then the rate of
loss of X per unit volume (V) is equal to
ω
V
γ
.
,
γ
ω
V
γcA[X ]
d[X ]
= =
dt 4V
therefore,
γcA
k =
s
4V
Environmental Chemistry, A. Ladstätter-Weißenmayer
Heterogenous Reactions
The partitioning of molecules between gaseous and liquid phases, the solubility of gas
at low solute concentration obeys the Henry’s law.
[ X s ] = H x
Px
where [Xs] is the concentration of X in the solution, px is the pressure in the gas phase
and Hx is the Henry’s law coefficient.
The uptake coefficients at time t is
1
π
1 1 2 c 1
= + t 2
1
γ t γ 0 4H x RTD 2
Environmental Chemistry, A. Ladstätter-Weißenmayer
Heterogenous Reactions
Consider reaction on the surface of atmospheric particles. The Langmuir adsorption
isotherm is the simplest of equation to express the partitioning of gas between surface
and gas phase. The surface coverage (θx) is ,
K = 10
K = 1
K = 0.5
1,0
0,8
bpx
θx
=
0,6
1 +
bp
0,4
x
0,2
where b is a constant equal to the ratio of rate coefficient
for adsorption onto the surface and its desorption. The
kinetics of reaction for a single reactant are developed
by including a loss of the adsorbed molecule,
0,0
0 2 4 6 8 10
p
the rate coefficient for this first-order loss process is kL. The chemical rate change is
.
Rate = kLθ
x
= kLbx
px
Environmental Chemistry, A. Ladstätter-Weißenmayer
θ
Heterogenous Reactions
k
A + B ⎯
⎯→ P ; v = k θA
θB
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemistry of the upper atmosphere
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemistry of upper
Chemistry of the upper atmosphere
atmosphere
Energy source: Solar radiation, in short
wavelength (UV-Vis)
associate with the
absorption of molecule by
electronic transition.
Photolysis: Chemical changing and
transition energy heat
clumped into the atoms.
At the surface: absorption of visible energy
leads to biological
mechanism.
The first protection layer absorption are O, N,
H-α band, N2, it leads to the chemistry of
ions and molecule in the heterosphere
(ionosphere+ thermosphere, > 80 km).
Environmental Chemistry, A. Ladstätter-Weißenmayer
negative organic ions
Benzene, complex organic compounds
ionisation
dissoziation
molecular nitrogen
and methane
Sun light
High energetic particles
Chemistry of upper atmosphere
The atmosphere is divided into 5 layers.
Troposphere is the first layer above the surface and contains half of the
Earth's atmosphere. Weather occurs in this layer.
Stratosphere: Many jet aircrafts fly in this layer because it is very stable.
Also, the ozone layer absorbs harmful rays from the Sun
Mesosphere: Meteors or rock fragments burn up in there; the atmosphere
reaches its coldest temperature of around -90°C in the mesosphere.
Thermosphere layer with auroras, space shuttle orbits, the air is thin, small
change in energy - large change in temperature (solar activity heat up to
1,500° C or higher)
Ionosphere an extension of the thermosphere, less than 0.1% of the total
mass of the Earth's atmosphere (ionisation by solar radiation)
Exosphere: The region where atoms and molecules escape into space is
referred to as the exosphere. The atmosphere merges into space in the
extremely thin exosphere. This is the upper limit of our atmosphere.
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemistry of upper atmosphere
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemistry of upper atmosphere
The second protective layer is hν (100 < λ < 200 nm). NO2 source is transported from
the troposphere, where is processed in soil (NO, N2O)
N 2O
+
h
ν →
NO
+
N
N 2O + hν → N 2 +
O
The third protective layer is the massive absorption from:
−
(3
∑ ) +
hν
→ O +
O
O2 g
Environmental Chemistry, A. Ladstätter-Weißenmayer
O2
+
h
ν →
O
+
O
O
+
O2
+
M
→
O3
+
M
O
+
O3
→
O2
+
O2
O3
+
h
ν →
O
+
O2
Chemistry of upper atmosphere
In 1929, Chapman proposed the Chapman cycle:
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemistry of upper atmosphere
In 1929, Chapman proposed the Chapman cycle:
hν → O +
O
O2
+
+ O2
Production: (1)
(2)
+M → O3 +
O M
Loss: (3)
O + O3 → O2 + O2
(4)
O + h
ν
→ +
O
•
O
3 2
Chapman-Cycle: explain qualitative
the observed stratospheric O3
• but: concentrations too high (factor
2), maximum too high
• uncertainties in measurements
can not explain the deviations
→ loss process in addition …
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemistry of upper atmosphere
In 1950-1960, using the Flash photolysis proved that k3 is slow, therefore it should
be something going on in this region.
In 1940, Meinel observed the OH emission.
In 1952, Bates and Nicolet suggested odd oxygen cycles.
H + O3 → OH +
O2
Cycle: 2
(35-60 km)
Cycle:1 OH + O3 → HO 2 + O
2
HO + O → OH +
O
ÓH +O →H +O2
2 2
Net:
+ O3 → O2 +
O2
O + O3 → O2 +
O2
O
Net:
H2O-source in the stratosphere:
H 2O + hν → OH
OH-source: +
H
(Oxidation of CH4, not direct injection of
H2O from troposphere)
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemistry of upper atmosphere
The NOx cycle: in 1979, aircraft emission from NOx was found.
NO
+
O3
→
NO2 + O →
NO2
+
O2
NO + O2
O
+
O3
from active O(1D)
→ O2
+
O2
O3 +
Net:
NOx -source:
(1
(1
hν → O D) + O2 Δ)
O(1
D) +N O → N +
O
2 2 2
1
O( D) + N 2O → NO +
NO
from NOx ion molecule down welling from the thermosphere and mesosphere.
• HOx, NOx and Chapman-cycle together agree with measured stratospheric
O3
• ⎯⎯→ Nobel prize 1995 (Paul Crutzen)
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemistry of upper atmosphere
-
NO2 -source: from troposphere => NO3 >> N2O, N2, NO
=> NH+
4
Loreloch measured the troposphere and found CFC’s [CFC-11 (CF3Cl) and CFC-
12(CF2Cl2)]. CFC is hanged around the atmosphere.
Rowland and Molina, in 1974, said CFC in the troposphere transports to the
stratosphere.
In addition: Cl and Br → changing in the concentration of stratospheric O3
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemistry of upper atmosphere
CF2Cl2 + hν → CF2Cl + Cl)
ClOx-cycle: (source: CFC-12:
Cl
+
O3
ClO +
O
→
ClO
+
O2
→ Cl + O2
net :O3 + O → 2O2
Termination (formation of reservoirs) :
Cl + CH4 → HCl + CH3
ClO+ NO2 + M →
ClONO2
+
M
Re - release of Cl :
HCl +
OH
→ Cl + H2O
ClONO2 + hν → Cl +
NO3
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemistry of upper atmosphere
1985: scientists analysed an O3 decrease in polar regions
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemistry of the stratosphere
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemistry of the stratosphere
Loss process
In upper and middle of the stratosphere, HOx,
involved.
NOx, ClOx, FOx and BrOx are
(x=H, OH, NO, Br and Cl)
X + O3 → XO +
O2
Removal O3
k1
k2
XO + O → X + O2 3 X+O3
O + O3 → O2 +
O2
Net.
d[X ]
= −k [ X ][O ] +
k
[ XO][O] =
0
2 3 2
dt
Environmental Chemistry, A. Ladstätter-Weißenmayer
X
Life time of O (k [X])
H kH+O3[H]
OH kOH+O3[OH]
NO kNO+O3[NO]
Cl kCl+O3[Cl]
Br kBr+O3[Br]
F kF+O3[F]
Chemistry of the stratosphere
Source of OH and H (dominate in Mesosphere and upper stratosphere)
CH4
+
h
ν →→→
H 2O
H 2O + hν → H + OH
Source of NOx (dominate in Stratosphere)
N O + O(1
D) → NO +NO
2
(N2O + hν → N +
NO)
Source of Cl
O(1
D) + Cl − CF →
ClO
+
CF
3 3
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemistry of the stratosphere
CH4 in Stratosphere oxidation 1
+
h
υ →
O( D)
+
O2
→
O( P)
+
O2
O( D)
+
H2O
→
2OH
O( D)
+
CH4
→
OH
+
CH3
OH
+
CH4
→
H2O
+
CH3
O2
+
CH3
+
M
→
CH3O2
+
M
CH3O2
+
NO
→
CH3O
+
NO2
CH3O
+
O2
→
HCHO
+
HO2
HCHO
+
h
υ →
H
+
HCO
or
OH + HCHO → H2O + HCO
O( D) + H2O → 2OH
O3
3
1
1
1
Net
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemistry of the stratosphere
How do they remove the ozone destroying?
HOx
H2O →
escape to the space
H2 +
O
T
ermination
⇒ OH +
OH +
HO2 → +
O2
H ,OH , HO2 H2O
NO2 + M → HNO3 +M
HNO3 and H2O are temporary reservoir of HOx.
HNO3 + hν → H2O
+
NO2
H2O + hν →
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemistry of the stratosphere
Temporary reservoir of NOx
NO2
+
OH
+
M
→
HNO3
at night : NO2
+
O3
→
NO3
+
h
υ →
NO2
+
O
→
NO
+
O2
NO3 + NO2 + M → N2O5
+
M
NO3 +
O2
What remove the temporary reservoirs?
+
M ClONO2
+
h
υ →
Cl
+
NO3
→
ClO
+
NO2
HCl + hυ → Cl + H
Temporary reservoir of ClOx
ClO
+
NO2
+
M
→
ClONO2
+
Cl
+
CH4
→
HCl
+
CH3
HO2 + ClO → HOCl + O2
M
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemistry of the stratosphere
ClOx
Note: Highlight => propagation and termination
HOCl
hν
ClO
Cl
hν
HCl
ClONO2 HCl, ClNO are non-active reservoirs
Cl, ClO are active reservoirs.
Environmental Chemistry, A. Ladstätter-Weißenmayer
NO2+hν
CH4
O
O3
HO2
Chemistry of the stratosphere
BrOx from CFCl2Br (Halons)
In atmosphere, we have less Br than Cl.
Br is heavy molecule and high vibrational energy.
HOBr
hν
BrO
Br
hν
HBr
BrONO2
Environmental Chemistry, A. Ladstätter-Weißenmayer
NO2+hν
CH4
O
O3 Fast
HO2
Chemistry of the stratosphere
FOx
HOF
hν
FO
F
hν
HF
FONO2
Environmental Chemistry, A. Ladstätter-Weißenmayer
NO2+hν
CH4 Fast
O
O3 Fast
HO2
Chemistry of the stratosphere
Ozone is high produced in tropic region but amount of ozone is high in Poles.
During Summer
Altitude [O3]
~500 DU
~360 DU
~200 DU
NP EQ SP NP EQ SP
Environmental Chemistry, A. Ladstätter-Weißenmayer
Dobson circulation
Wave pushing
Chemistry of the stratosphere
(IGY: International Geophysics Year) – Dobson network is set for ozone
measurement.
1975:
1985: Farmad proposed paper and we know the ozone hole.
The explanation in the polar night
NO
+
O3
→
NO2
+
O3
→
NO2 + NO3 + M
⇔
NO2
+
O2
NO3 + O2
+
M
N2O5
In polar night, polar stratospheric clouds (PSCs) type I are formed.
N2O5 (s)
+
nHNO3 +
H 2O(l)
→
2HNO3
3nH 2O →´n( HNO3 • 3H 2O)(NAT )
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemistry of the stratosphere
Ozone destruction processes:
1. Winter polar vortex
N2O5 (s) → NAT
2.
3. PSC formation (no photolysis)
4. Production of PSC product
ClONO2 (s)
+
HCl (s)
→
Cl2
+
HNO3
N2O5
+
HCl
→
ClONO
+
HNO3
or
HOCl + HCl → H2O + Cl2
Environmental Chemistry, A. Ladstätter-Weißenmayer
Chemistry of the stratosphere
5. During Spring
Cl2 +
h
υ →
Cl
+
Cl
ClONO+ hυ → ClO
+
NO
6. Ozone destruction
2{Cl
+
O3
→
ClO
+
O2 }
ClO
+
ClO
+
M
→
Cl2O2
+
M
Cl2O2
+
h
υ →
Cl
+
ClOO
ClOO + M → Cl + O2 + M
2O3 → 3O2 Net
Environmental Chemistry, A. Ladstätter-Weißenmayer
Stratospheric O3
Polar stratospheric clouds (PSC) heterogenous reactions
PSC
ClONO2
+
HCl
⎯⎯
⎯→
Cl2
+
HNO3
ClONO2 + H2O ⎯⎯⎯→ HOCl + HNO3
PSC
PSC
HOCl
+
HCl
N2O5 + HCl
⎯⎯
⎯→
Cl2
+
H2O
⎯⎯
⎯→ ClNO2 + HNO3
PSC
PSC
N2O5 + H2O ⎯⎯
⎯→ 2HNO3
Result: ClOx from reservoir and NOx → HNO3
(Denoxification).
Stratosphere (dry) → low temperatures
(185K - 190K) are needed for condensation
Environmental Chemistry, A. Ladstätter-Weißenmayer
Ozone hole
Environmental Chemistry, A. Ladstätter-Weißenmayer
Ozone Hole
Environmental Chemistry, A. Ladstätter-Weißenmayer
Ozone Hole
• UV light can have beneficial
effects too
It stimulates the transformation
dietary steroids into Vit D (calciferol)
Insects use it to guide them to nectar sources
UV light is high energy light
•
•
•
•
in flowers
When it strikes molecules it can cause them to beak into ions or free
radicals
The free radicals in turn damage large molecules such as proteins
and DNA - causes mutations - lead to cancer
•
UV-B has a direct effect on DNA, DNA absorbs UV light of 260nm, the
action of UV forms thymine dimers, this
when the DNA replicates
UV-B
can cause a gene mutation
Thymine dimer
ACGCTGGCTTAGT
TGCGACCGAATGA
ACGCTGGCT=TAGT
TGCGACCGAATGA
DNA
Environmental Chemistry, A. Ladstätter-Weißenmayer
Arctic & Antarctic Trends
• Substantial losses have
occurred in theArctic
Arctic levels are naturally
higher because of the
structure of the NH
•
• 35-45 km, 30-50˚N
ozone
Note that the later
year (post 1997) are
above the downward
slope
Ozone is no longer
decreasing (1st step
in the recovery
process)
Newchurch et al. (2003)
•
•
Environmental Chemistry, A. Ladstätter-Weißenmayer
Environmental Chemistry, A. Ladstätter-Weißenmayer
Antarctic ozone hole theory
Solomon et al. (1986), Wofsy and McElroy (1986), and Crutzen
andArnold (1986) suggest reactions on cloud particle surfaces as
mechanism for activating Chlorine
HCl
Cl2
ClONO2 HNO3
Cl2 is easily photolyzed by UV & blue/green
HNO3 is sequestered on PSC
light
Environmental Chemistry, A. Ladstätter-Weißenmayer
Polar Ozone Destruction
1. O3 + Cl → ClO + O2
3. ClOOCl + hν → 2Cl + O2
3 O2
2 O3
2. 2ClO+M → ClOOCl+ M
Only visible light (blue/green) needed for photolyzing ClOOCl
No oxygen atoms required
Net: 2•O3 + solar photon → 3•O2
190
180
Ozone Hole timeline
May Jun Jul Aug Sep
230
220
210
200
190
Oct Nov
230
220
210
200
190
230
220
210
200
190
230
220
210
200
180 180 180
ÍPolar night falls
and temp cool
ÏSunlight induces catalytic O3 loss
Ï PSCs begin to form
ÏChlorine is freed into reactive forms
T become too warm for PSCs, O3 loss stops Ï
Ozone hole breaks-up, mixes low ozone across SH Ï
150 150 150 150
100 100 100 100
50 50 50 50
0 0 0 0
Cold T ÎPSCs + high Cly Îhet reactions ÎLarge catalytic loss
Environmental Chemistry, A. Ladstätter-Weißenmayer
Ozone
Temp
How does chlorine get from our refrigerators
Antarctic stratosphere?
to the
Cl catalytically destroys O3
Cl reacts with CH4 orCFC-12 photolyzed in stratosphere by
NO2 to form non-
reactive HCl or
ClONO2
solar UV
, releasing Cl
Cl released by
PSCs Carried into stratosphere in the
tropics by slow rising
circulation
CFC-12 released in troposphere
Environmental Chemistry, A. Ladstätter-Weißenmayer
Source Chemicals
• Cl is much more abundant than Br
• Br is about 50 times more effective at O3 destruction
Environmental Chemistry, A. Ladstätter-Weißenmayer
Atmospheric Chlorine Trends
Monitoring
from NOAA/ERL
Division
– Climate
102 years
CFC-12
50 years
CH3CCl3
42
85
years
years
CFC-113
5 years
Updated Figure made by Dr. James Elkins from Trends of the Commonly Used Halons Below Published by Butler et al. [1998],
All CFC-113 from Steve Montzka (flasks by GC/MS), and recent updates of all other gases from Geoff Dutton (in situ GC).
Environmental Chemistry, A. Ladstätter-Weißenmayer
CCl4
CFC-11
Global Stratospheric Chlorine trends
Time evolution of chlorine
Environmental Chemistry, A. Ladstätter- MO (2003) - Figure 1-7
Ozone Hole
How do CFCs arrive the stratosphere?
· CFCs have more weight than „air“
· CFCs are stabil in the troposphere and therefore well mixed
· from observations we know that CFCs arrive in the stratosphere but the
concentration decrease with
increasing height (photolysis)
Environmental Chemistry, A. Ladstätter-Weißenmayer
Ozone Hole
Source: CFC-12: CF2Cl2 + hν → CF2Cl + Cl
→ Montreal protocol and international appointments should prohibit or minimize the
use of CFCs until 1996
Environmental Chemistry, A. Ladstätter-Weißenmayer
Ozone Hole
© NOAA
Environmental Chemistry, A. Ladstätter-Weißenmayer
Ozone Hole
Correlation of ozone concentration - global warming?
Ozone absorbs UV-radiation, increase of temperature in stratosphere→ less
ozone lower temperature in stratosphere
Greenhouse gas absorbs IR radiation from the surface, increase of temperature
in lower atmosphere but cooling of upper atmosphere → global warming leads to
cooler stratosphere
Reduction of stratospheric temperature, increase of PSC a in spring reduction of
ozone, increase of heterogenous processes in mid-latudues possible
Environmental Chemistry, A. Ladstätter-Weißenmayer
Ozone Hole
What about the future of ozone reduction?
Global reduction -5% since 1965
· 10% reduction in mid-latitude winter/spring
· 60% reduction in antarctic spring
· 5-30% reduction in arctic spring
up to 20% reduction after volcanic eruption of Pinatubo (Philippines)
· Maximum of stratospheric Cl now
reached ?
· back to „normal situation“ in 2100 ?
1st detection is the approximate year that we’ll be able to say
that the ozone hole is improving.
Full recovery is the year when the ozone hole size is zero.
Environmental Chemistry, A. Ladstätter-Weißenmayer
Ozone and climate change
Increases in long-lived gases
3
Halocarbons (e.g., CFCs)
N O (nitrous oxide)
2 2
CH4 (methane)
1 Tropospheric ozone
increase
CO2
0
Stratospheric ozone
depletion
-1
Ozone changes
-2
Ozone change is not a primary cause of climate change.
contribute to climate change.
•
•
Ozone depleting substances
Ozone changes causes a climate response that is generally
the Halocarbon response.
Climate change may seriously impact ozone levels.
larger than
•
Environmental Chemistry, A. Ladstätter-Weißenmayer
Warming
Cooling
Human
produced
Radiative
Forcing
(Watts/m
2
)
Tropospheric Chemistry
Environmental Chemistry, A. Ladstätter-Weißenmayer
Tropospheric Chemistry
Environmental Chemistry, A. Ladstätter-Weißenmayer
Stratosphere Troposphere
Low pressure High pressure
Low temperature High temperature
Some sinks Many sinks
Some sources Many sources
No biological emissions Biological emissions
Less anthropopgenic input Many anthropopgenic input
Less vertical mxing More vertical mixing
Low humidity High humidity
Emissions in Troposphere
Environmental Chemistry, A. Ladstätter-Weißenmayer
Tropospheric Chemistry
Many different trace gases in troposphere, Complex reaction chains
•
• Life times from seconds to years, Transport from source to sink
Life time of trace gases
• source → sink
• dry deposition: gases are absorbed
• irreversible at the surface, Ocean and plant-surfaces
• wet deposition: compounds are implemented in clouds, aerosols, rain
droplets
• emit and remove from atmosphere
• Transport: vertical und horizontal
• Source → Sink = Life time
Environmental Chemistry, A. Ladstätter-Weißenmayer
Tropospheric Chemistry
Mixing time: тM
Vertical mixing: ~ 1 week (surface → tropopause)
Horizontal mixing:~ 1 year (around the globe)
e.g. CH4 (by physical processes and oxidation → slowly oxidydised τ = some
years), HCHO (intermediate during oxidation, fast photolysed τ = some hours)
• H2 τ = some years CO τ = some months
• natural gases: biogenic sources, reduced form (CH4, terpenes, H2S,
..) or only oxidised (CO, N2O) = mainly solute in water
“anthropogenic gases”: higher oxidised (CO2, NO2, SO2) easy soluble
• only some are directly deposited
Environmental Chemistry, A. Ladstätter-Weißenmayer
Tropospheric Chemistry
Dry deposition = SO2, O3, CO2, SO3
• Micro biological sinks = CO, H2
fast soluble = HCl, HF
, HNO3
Wet deposition, after arriving in aerosols = NH3, SO2, NOx
Inert (physical and chemical) = NOx, Carbonyl, Sulfids (COS),
•
•
•· CFCs
• all others = photochemical reactions with OH, or direct photolysis (O3, NO2,
HCHO)
• near the surface: many turbulences, mixing (0.5-2 km during day and less
during night)
• time scale:
Environmental Chemistry, A. Ladstätter-Weißenmayer
Tropospheric Chemistry
days: some compounds, atmospheric circulation,
transport
Free troposphere: transport over long distances near surface
ms-1
Wind speed: 10-30 in E-W direction, less in N-S
and vertical direction (mid latitude)
Air masses are moving in circles along latitudes in 10s of days
Movings in N-S directions slower, transport between hemispheres not allowed, only
during defined seasons (N →S in upper troposphere and S →N in lower
troposphere (1 year)
E-W averaging (tropospheric mixing τ = 1 month (2-dimensional model (height,
latitude)
Environmental Chemistry, A. Ladstätter-Weißenmayer
Tropospheric Chemistry
Many compounds:
•· 1940: ~24 different chemical compounds were known
•· 1950: known scientists begun the resarch on chemical and biological
compounds of atmoshere, less than 100 compounds were known
•· today: 3000 compounds are known
•· some in atmospheric gases, aerosol particles, (small and big), in
rain snow, fog, in reservoirs
•· natural and anthropogenic sources, pre-industrial atmosphere
•· more or less reactive compounds (CH4 = 1.7-1.8 ppmv)
4 times more reactive are organic than inorganic compounds
•
Environmental Chemistry, A. Ladstätter-Weißenmayer
Tropospheric Chemistry
Many compounds:
• organic: HC (solutions, industrial chemicals, combustion
processes)
•· reaction to oxidised products (moving faster than precursors)
Environmental Chemistry, A. Ladstätter-Weißenmayer
Tropospheric Chemistry
every element of periodic system is in atmosphere
•
• a small number of groups of compounds:
• sulfur compounds
• nitrogen compounds
• HC compounds
• Halogen compounds
• with and without HC
Emission of compounds which are removed →
cycles of elements (bio geo chemical cycles: e.g. B. H2O)
Transport: within the atmosphere, ocean, biosphere, continent
• “Elements of life”: C, O, N, S, P with reservoir substances, within the
atmosphere, ocean, organism
Environmental Chemistry, A. Ladstätter-Weißenmayer
Tropospheric Chemistry
many source gases partiell oxidized (CO, SO2) or reduced (H2S, NH3)
in the troposphere they are not directly oxidized by O2
first reaction is with hydroxy radical OH (atmospheric cleaning substance)
•
•
•
• example:
• CH4 + 2O2
→
CO2 + 2H2O
Oxidation follows many reaction steps and produce redicals as function of
photolysis (OH-concentration, other radicals and NOx).
•
Environmental Chemistry, A. Ladstätter-Weißenmayer
Tropospheric Chemistry
• OH is the most important radical in troposphere
•· many tropospheric reactions start with OH (life timeOH ~ 1 s, low
concentration ~106 molec/cm3)
• concentration variable dependent of: photolysis, O3- and H2O-concentration
and other radicals
Sources of OH:
O(1D) + H2O
→
2OH
O3 + hν → O2 + O(1D)
Environmental Chemistry, A. Ladstätter-Weißenmayer
Tropospheric Chemistry
Photolysis of HCHO:
CH2O + h
ν →
H + HCO
→
H2 + CO
HCO + O2
→
HO2 + CO
H + O2 + M
→
HO2 + M
under clean air situation no NO:
HO2 + O3
→
OH + 2O2
HO2 + NO → OH + NO2
2. Reaction of O3 with alkenes
Reaction of NO3 with aldehyds or alkens during night
3.
Environmental Chemistry, A. Ladstätter-Weißenmayer
Tropospheric
Sinks for OH:
Chemistry
•
1. Direct key reactions:
HO2 + HO2
→
H2O2 + O2
OH + HO2
→
H2O + O2
Formation of stabil peroxiyds
2.
CH3O2 + HO2
→
CH3OOH + O2
Reaction with NO2 & HNO3 in polluted areas
OH + NO2 + M
→
HNO3 + M
OH + HNO3 → H2O + NO3
3.
Environmental Chemistry, A. Ladstätter-Weißenmayer
Tropospheric Chemistry
A: Reaction with OH
· SO2 + OH
CO + OH
→ OSOOH
→ HOCO
CH4 + OH
NH3 + OH
H2S + OH
CH3Cl + OH
B: Photolysis
→
CH3 + H2O
→
NH2 + H2O
→
SH + H2O
→ CH2Cl + H2O
HCHO + hν → H + HCO (λ < 338 nm)
C: Reaction of radicals with O2
CH3 + O2 → CH3OO
Environmental Chemistry, A. Ladstätter-Weißenmayer
Tropospheric Chemistry
D: Reaction of Peroxy-Radicals with NO
HOO + NO
→
OH + NO2
CH3OO + NO → CH3O + NO2
E: Abstraction of H by O2:
CH3O + O2
→
CH2O + HO2
HOCO + O2
→
OCO + HO2
HCO + O2
→
CO + HO2
F: Addition von O2:
RCO + O2 → ROCOO
Environmental Chemistry, A. Ladstätter-Weißenmayer
Tropospheric Chemistry
Environmental Chemistry, A. Ladstätter-Weißenmayer
Tropospheric Chemistry
NMHC + NO + hν
→
NO2 + Pr odukte R1
NO2 + hν (λ ≤ 410nm) → NO +
O
R2
R3
O + O2 + M → O3 +
M
R4
NO + O3 → NO2 +
O2
equilibrium:
[NO2 ] kR 4[O3 ]
=
[NO] jR 2
Environmental Chemistry, A. Ladstätter-Weißenmayer
Tropospheric Chemistry
1
O3
+
h
ν
(
≤
310nm)
→
O( D)
+
O2
1
O( D) + H2O → OH +
OH
RH + OH → R + H
2O
R + O2
+
M → RO2 + M
RO2 +NO → NO2 +RO
Environmental Chemistry, A. Ladstätter-Weißenmayer
Methan-Oxidation
O3 + hν → O( D) + O2
1
wavelenght: < 310 nm
1
O( D)
+
H2O
→
OH
+
OH
O(1
D)
+
M
→
O
+
M
O + O2 + M → O3 +
M
Regeneration of O3
Oxidation steps:
OH + CO → H + CO2
OH
+
CH4
→
CH3
+
H
2O
H + O2 → HO2
CH3 + O2 → CH
3O2
Environmental Chemistry, A. Ladstätter-Weißenmayer
Methan-Oxidation
CH3O + O2 →HCHO + HO2
HCHO + hν (λ ≤ 330nm) → H
+
HCO
HCO + O2 → CO +
HO2
H
+
O2
+
H + O2
+
M → HO2
+
M
HO2 + M
M →
3[ ]
NO2 + hν (λ
≤
410nm) → NO +
O
4[ ]
O + O2 + M → O3 +
M
3[ ]
CH4 + 8O2 + 5hν → CO + 4O3 + 2OH + H
2O
Net:
Environmental Chemistry, A. Ladstätter-Weißenmayer
CO-Oxidation
CO + OH → H
+
CO2
HO2 + M
H + O2
+
M →
NO2
+
h
ν
(
λ ≤
410nm)
→
NO
+
O
O + O2 + M → O3 +
M
CO + 2O2 +
hν
Net: → CO2 + O3
Environmental Chemistry, A. Ladstätter-Weißenmayer
Ozon-Production in Troposphere
NO2
+
h
ν →
O
+
NO
O + O2 + M → O3 +
M
high NOx – production of O3:
OH
+
CO
H
+
O2
+
M
HO2 + NO
→ H + CO2
→ HO2
+
M
OH + NO2
→
CO + 2O2 +
hν
→ CO2 + O3
Netto:
Environmental Chemistry, A. Ladstätter-Weißenmayer
Ozon-Destruktion in der Troposphäre
OH + CO → H +
CO2
low NOx – destruction of O3:
H + O2 + M →HO2 + M
HO2 + O3 → OH +
2O2
CO +
O3
→ CO2 + O2
Netto:
Environmental Chemistry, A. Ladstätter-Weißenmayer
Methan-Oxidation
Production of peroxy radicals:
H + O2 + M → HO2 +
M
CH3 + O2 + M → CH3O2 +
M
low NOx – production of acids:
HO2 + HO2 → H2O2 +
O2
CH3O2
+
HO2
→
CH3OOH
+
O2
high NOx – production of NO2:
HO2 +NO → OH + NO2
Regeneration of OH:
CH3O2 + NO → CH3O +
NO2
Or production of
Methoxy-Radical:
Environmental Chemistry, A. Ladstätter-Weißenmayer
CO, CO2, und CH4 Messungen von SCIAMACHY
Buchwitz et al., de Beek et al.,
ACPD, 2005, ACPD 2006
Environmental Chemistry, A. Ladstätter-Weißenmayer
CH4 Messungen von SCIAMACHY
Difference SCIAMACHY – TM3 8 – 11.2003
Frankenberg, C.,et al., Assessing methane emissions from global space-borne observations.
Science, 308 (2005), 1010-1014.
© C. Frankenberg et al., Univ. of Heidelberg
Environmental Chemistry, A. Ladstätter-Weißenmayer
GOME satellite data • NO2 reduc
trieval + CTM-stratospheric correction • strong incr
and localAMF based on • consistent
OART-2 run changes
eening
GOME annual changes in tropospheric NO2
•
•
•
7 years of
DOAS re
seasonal
1997 M
cloud scr
tions in Europe and parts of the US
ease over China
with significant NOx emission
•
A. Richter et al., Increase in tropospheric nitrogen dioxide over China observed from space, Nature, 437 2005
Environmental Chemistry, A. Ladstätter-Weißenmayer
1996 - 2002
pollution biomass burning
Courtesy of Andreas Richter
Environmental Chemistry, A. Ladstätter-Weißenmayer
HCHO Messungen von GOME
Environmental Chemistry, A. Ladstätter-Weißenmayer
Troposphärische O3 Messungen von GOME
Environmental Chemistry, A. Ladstätter-Weißenmayer
Environmental Chemistry, A. Ladstätter-Weißenmayer
SCIAMACHY SO2:Pollution
Anorganic Chemistry
− −
HSO3 + → HSO4
+
H
2O
−
H2O2
−
HSO3 + O3 → HSO4 + O2
−
H +
H SO ↔ +
HSO
2 4 4
− 2−
+
↔
↔
+ SO4
HSO4 H
−
H + +
HNO NO
3 3
Environmental Chemistry, A. Ladstätter-Weißenmayer
Photochemistry – Organic Chemistry
H2O2 + hν (λ ≤ 380nm) →
2OH
RCHO( aq) + OH → RC(O)OH(aq
)
H + + RC(O)O
−
RC(O)OH ↔
Environmental Chemistry, A. Ladstätter-Weißenmayer
Air pollution
compounds caused by antropogenic activities
·
· concentrations high above normal
· → human influence, animals, veetation and material
· mainly: in urban and industrialised regions
· 1. Typ: (SO2 and Sulfate), particles from combustion
cold regions: heating – Emissions
·
· 2. Gas and
Brazil)
Benzene (Los Angeles, T
okyo, Athens, Mexico City, Sao Paulo,
Environmental Chemistry, A. Ladstätter-Weißenmayer
Air pollution
1952: London view less than some m for 1 week
Environmental Chemistry, A. Ladstätter-Weißenmayer
Air pollution
· Smog (photochemical Smog)
Smog: NOx, organic compounds, O3 (nitrats, oxidised HC,
photochemical aerosols)
· O3 normal: 20-60 ppb
O3 urban: 500 ppb
Natural and anthropogenic processes (started mainly with OH)
·
·
· High reactivity → Oxidation and chemische reaction
· Free Radicals
CO2 and H2O
gases like NOx
- chain reactions: Oxidation of H2, CH4, other HC, CO to
other and sulfur compouds modify the „way of combustion
process“
Environmental Chemistry, A. Ladstätter-Weißenmayer
Air pollution
surface as source of compounds
· NOx and CO produced in sand storm
surface emission: natural and anthropogenic sources
·
· High concentration in urban and industrial regions (NH)
· Stratospheric O3 limits sun radiation at surface → wavelenght > 280 nm
Photochemical labill > 280 nm: O3, NO2, HCHO
·
· All 3 gases (O3, NO2, HCHO)
oxidation chain
→ OH (oder HO2 production) → start of
Environmental Chemistry, A. Ladstätter-Weißenmayer
Air pollution
· 10% of total O3 in troposphere
natural atmosphere: all reactions start with O3
Source of O3 is important
O3 formation in low altitude (dependent of hydrocarbons and NOx)
O3 Transport (Stratospheric – Tropospheric - Exchange)
·
·
·
·
Environmental Chemistry, A. Ladstätter-Weißenmayer
Air pollution
· OH influence during day (stratosphere and troposphere)
· NO3 influence during night
NO3 less reactiv than OH
diurnal variation different (OH and NO3)
OH photolysed (during day)
·
·
·
· NO3 photolysed during day (present during night)
· 90% of total atmospheric mass
combustion processes)
stays in troposphere (main part of gases of
Environmental Chemistry, A. Ladstätter-Weißenmayer
Greenhouse gases
IPCC 2007
Environmental Chemistry, A. Ladstätter-Weißenmayer
• 1750-2005: increase of CO2~ 35%
• increase of CO2 the last 10 years > than the last 50
years
• today: Maximum in the last 650.000 Jahren
¾ 78% of increase (Å use of fossil fuel)
¾ 22% of increase (Å land use)
Greenhouse gases
IPCC 2007
• since 1750: CH4-
~ 18 %
and N2O- increase ~148% respectively
Environmental Chemistry, A. Ladstätter-Weißenmayer
Greenhouse gases
Environmental Chemistry, A. Ladstätter-Weißenmayer
Greenhouse gases
• GHG: H2O, H2, CO2, O3, N2O, CH4.
important for climate change caused by physical and chemical features
•
• GHG are gases in an atmosphere that absorb and emit radiation within
the thermal infrared range. This process is the fundamental cause of the
greenhouse effekt
• GHG warm the atmosphere by efficiently absorbing thermal infrared
radiation emitted by the Earth‘s surface, by the atmosphere itself, and by
clouds. As a result of its warmth, the atmosphere also radiates thermal
infrared in all directions, including downward to the Earth’s surface.
surface-troposphere
Thus, greenhouse gases trap heat within the
system.
Environmental Chemistry, A. Ladstätter-Weißenmayer
Greenhouse gases
• in addition anthropogenic synthetic gases (halogen compounds) are
emitted → climte change
• the measured value: „Global Warming Potential“ (efficiency of a gas over
100 years is observed, fficiency of CH4 is 21 time higher than CO2)
• if the concentration of emitted gases is known
Potential can be calculated
→ Global Warming
• More GHG more climate change
Environmental Chemistry, A. Ladstätter-Weißenmayer
Tropospheric Chemistry
Environmental Chemistry, A. Ladstätter-Weißenmayer

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The Introduction of Environmental Chemistry

  • 1. Environmental Chemistry PD Dr. Annette Ladstätter-Weißenmayer Office Building: Room: Phone: Email: NW 1 U2085/S2440 (0421) – 218 – 62105 lad@iup.physik.uni-bremen.de Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 2. Overview T opic Lecture 1 2 Introduction / Organisation Thermodynamic 3 Thermodynamic 4 5 6 7 8 9 10 Chemical Equilibrium Photochemistry Photolysis rate, frequency Chemical lifetime Heterogenous Reactions Chemistry of the upper atmosphere Chemistry of the stratosphere 11 12 Ozone Hole Tropospheric chemistry 13 Tropospheric chemistry 14 Tropospheric chemistry Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 3. Introduction Organisation: Exercises: start next week 1st Ex.-Paper this week via e-mail deadline: Monday or Tuesday next week Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 4. Introduction Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 5. Introduction Literature: P .W.Atkins, Physical Chemistry, Oxford University Press, 1990 Colin Baird, Environmental Chemistry, Free-man and Company, New York, 1995 Guy Brasseur and Susan Solom, Aeronomy of the Middle Atmosphere, D. Reidel Publishing Company, 1986 Guy P . Brassuer, John J. Orlando, Geoffrey S. Tyndall (Eds): Atmospheric Chemistry and Global Change, Oxford University Press, 1999 Finlayson-Pitts B. J. and J. N. Pitts, Atmospheric Chemistry Richard P . Wayne, Chemistry of Atmospheres, Oxford university Press, 1991 Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 6. Introduction Chemical constituents of the Atmosphere - Protons and electrons: come from the Sun and created in the atmosphere - Ion: any species with/without electron - Atoms: the smallest elemental molecules - Free radicals: very reactive particles and have at least 1 unpaired electron - Free radical ions: has electric charge, produce electrical field and can pull other molecules from the distance • • • • Particles Clusters Aerosols Cloud droplets Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 7. Introduction The evolution of the atmosphere The atmosphere compositions were created from the earliest processes in the formation of the solar system and the planets. The Big Bang created the Universe ~15*109 years The solar system is 4.6*109 years (and the Earth was formed), based on the radioactive dating of meteorites. The evolution of Earth see from the geological table: Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 8. Introduction Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 9. Introduction Evolution and changes in atmosphere and climates were modified by the Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 10. Introduction The changing of population and standard of below life lead to the CO2 rising as shown Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 11. Introduction The evolution of the atmosphere Sun system is ~ 4,6× 109 years old At the beginning only a solar haze exists (a cloud with gas, particles and ice) This cloud was compressed including temperature increase (from 2-3 K to 2000 – 3000 K at the end of compression) → all compounds evaporated Inner planets: Venus, Earth, Mars only H2, He, C, N2 and oxygen combined with Si, Fe, Al and Ca after 107 years planets exist but without atmosphere Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 12. Introduction The evolution of the atmosphere Primordialatmosphere 1st Oxygen was combined → so first a reduction of gases in the atmosphere 1st atmosphere: CH4, NH3, H2, H2O (in the liquid planets: NiO, FeO to Ni and Fe reduced) → earth‘s core Consequently: O2 was produced → water vapor, CO2, N2 (probably similar to the atmosphere of the vulcanoes today) Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 13. Introduction Environmental Chemistry, A. Ladstätter-Weißenmayer H2O 80% CO2 10% H2S 7% CO 0.5% CH4 In traces NH3 In traces
  • 14. Introduction Atmosphere today: Production of: Hydrosphere: H2O Lithosphere: carbonates Biosphere: (O2 was produced) 2 CO2 + UV-radiation → CO + O2 2 H2O + UV-radiation → 2 H2 + O2 6 CO2 + 6 H2O + hν + Chlorophyll→ C6H12O6 + 6 O2 Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 15. Atmosphere – a thin cover ~ 98% of total atmospheric air masses within the lower 30 km Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 17. Thermodynamic Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 18. Thermodynamic Ideal Gas Assumptions: · ensemble of individual molecules · no interaction apart from collision · no chemical reactions · no appreciable volume of individual molecules State properties of a gas: p, T, V, and n Equation of state for the ideal gas: pV = nRT or pV = NkT p = pressure, V = volume, n = number of moles, N = number of molecules, R = universal gas constant, k = Boltzman constant, T = temperature Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 19. Thermodynamic Pressure: 1 Pa = 1 N/m² 1 bar = 100 kPa 1 atm = 101.325 kPa = 760 T orr Pressure of atmosphere is measured with a barometer Temperature: T emperature tells us about the flow of energy energy flows from A to B: A has higher temperature Energy doesn‘t flow: A and B have the same temperature (thermal equilibrium) Thermodynamic temperature scale: 0°C = 273.15K Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 20. Thermodynamic Gas constant R: K-1 mol-1 R = 8.314 J Boyle’s law: If n, T = constant (isotherm) pV = constant p2V2 = p1V1 Gay-Lussac’s law: If n, p or if n, V = constant (isobar, isochor) V1/V2 = T1/T2 p1/p2 = T1/T2 Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 21. Thermodynamic Ideal Gas All gases act as ideal gases at very low pressure; to good approximation, gases in the atmosphere can be treated as ideal gases with the exception of water vapour (phase changes) Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 22. Thermodynamic Mixtures of Ideal Gases Dalton’s law: The pressure exerted by a mixture of perfect gases is the sum of the pressures exerted by the individual gases occupying the same volume alone or p = pA + pB (air: N2: 78.08%, O2: 20.95%, CO2: 0.04%. These add up to 100% of dry air, so there are almost no other gases (really, 0.002%)(. Mole fraction: The mole fraction of a gas X in a mixture is the number of moles of X molecules present (nX) as a fraction of the total number of moles of molecules (n) in the sample: nx x = x n with n = n + n + n + .... A B C Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 23. Thermodynamic Partial pressure: The partial pressure of a gas in a mixture is defined as the product of mole fraction of this gas and total pressure of the gas: px = xx p Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 24. Thermodynamic Units Environmental Chemistry, A. Ladstätter-Weißenmayer Quantity Name Units Number of molecules N mol = 6.022 x1023 Density N particles / m3 Mass ρ kg / m3 Volume mixing ratio μ ppmV = 10-6 ppbV = 10-9 pptV = 10-12 Mass Mixing ratio μ ppmm =10-6 ppbm =10-9 pptm = 10-12 Different column definition molec/cm2 DU = 10-3 cm at STP
  • 25. Thermodynamic Excursion: Ideal Gas Law The ideal gas law can be expressed in molecules or moles: or pV = NkT pV = nRT R or R* = Universal gas constant = 8.314 J mol-1 K-1 K-1 10-23 J molec-1 k = Boltzmann’s constant = 1.381 1023 mol-1 NA = Avogadro’s number = 6.022 Molar quantity: N = n N A V n m n V = M = Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 26. Thermodynamic = R N Ak Number density: N V p = kT Mass density: m V Nmx mx p M x p M x p ρ = = = = = V kT N AkT RT mx = Mass of one molecule x, Mx molar mass of x In some books, individual gas constants are defined for each gas: R MR = x M x Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 27. Thermodynamic Real Gas: Interactions between molecules are taken into account Moving in a Volume (V) - smaller volume (V - nb) With nb: total volume taken by the molecules themselves Pressure depends on frequency of collisions with walls and the force of each collision - reduction of pressure -a (n/V)² 2 nRT − a⎛ n ⎞ p = ⎜ ⎟ V − nb ⎝ V ⎠ Often written like Vm = V/n where a/Vm² = internal pressure RT − a p = 2 Vm − b Vm 2 ⎛ ⎞ an ⎟(V − nb)= nRT ⎜ p + ⎝ V 2 ⎠ Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 28. Thermodynamic Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 29. Thermodynamic Work, heat, energy are basics of thermodynamic, the most fundamental is work Work is done by the system to bring a change Energy is the capacity of a system to do work Energy changes as a result of temperature difference - energy has transferred as heat Adiabatic: walls do not permit energy transfer Exothermic: processes realising energy as heat Endothermic: processes absorbing energy as heat Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 30. Thermodynamic 1st Law of Thermodynamic example: increase the temperature of 1kg H2O from 14°C to 15°C, the work of 4.18 kJ has to be carried out no energy is lost, it is only exchanged from one to the other (work – heat) in the case heat is coming to a system → variation in volume, pressure, content, temperature = internal energy (total energy of a system) is changing Each system has an internal energy U, which is only changing when heat (Q) work is changing or ∫ U − U 1 = W + = − pdV + Q = ΔU = Q dU 2 W can be electrically or mechanically for V = constant (isochor) dV =0 = dQ (dU )V as follows: (U − U 1 )V = Q 2 Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 31. Thermodynamic Adiabatic process: = U2 −U1 = ΔU Wad Mechanical work: work (compression or expansion) is done by moving an object a distance dz against a force - decrease (negative value) internal energy will dW = − Fdz z 2 W = − ∫ Fdz = −(z2 z1 − z1 ) = −mgh s-2 g: 9.81 m Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 32. Thermodynamic Compression, expansion: isothermal V 2 W = − pdV V 1 V 2 dV V ∫ ∫ V 1 ln 2 = −nRT = −nRT V V1 Internal energy, heat, work heat have the same unit: Joule (J) 1J = 1 kg m² s-² 1st law: U of a system is constant unless it is changed by doing work or by heating Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 33. Thermodynamic in a closed system the variation of the internal energy is equal to heating with the environment when dV = 0 the exchange of if dp = 0 (isobar) U − U 1 = Q − p (V2 − V1 ) + pV1 ) = Q 2 (U 2 + pV2 ) − (U 1 as follows: the exchange of heat is not now the variation of internal energy it is U + pV = H H = Enthalpy Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 34. Thermodynamic ( H 2 − H1 ) = Q , p , n1 , n 2 ,... = H f (T n k ) differential ∂H ∂H ∂H dH = ( + ( dp + dn 1 + ... ) dT )T ( )T p ,n ,n , p ,n j ∂T ∂p ∂n1 ( ∂U ) ( ∂U ) δQ + δW = δQ − = = dT + dU pdV dV V T ∂T ∂V ∂H ) ∂H ) dH = d (U + pV ) = dU + pdV +Vdp = dT + ( ( dp V T ∂T ∂p Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 35. Thermodynamic molar heat capacity for isochor and isobar work: ( ∂Q ∂T ( ∂U ) c = ) = V V V ∂T ∂Q ∂T ( ∂H ) c = ) = ( p p p ∂T and cp: c − c = ( relation between cV ∂H ∂ T pV ∂U ∂T − ( ) )p p V p H = U + = U + nRT ( ∂U ) ( ∂U ) c − c = + nR − = nR p V p p ∂T ∂T Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 36. Thermodynamic dU work of adiabatic expansion: as c = V dT cV ∫ ∫ W = dU = dT = − T1 ) = cV Δ cV ( T 2 T Special cases: irreversible adiabatic expansion: −pex ΔV pV = nRT ΔT = cV irreversible adiabatic expansion: −nRdV cV dT c dT = − pdV ⇒ = V T V Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 37. Thermodynamic it is impossible that heat is converted to mechanical energy (work) and we have to find solutions for irreversible processes as follows: 2nd Law of Thermodynamic new function is introduced: Entropy S dQrev S = nR ln( V2 ) = dS = S − 2 1 T V1 Because isotherm → dT =0 reversible ∂U ∂T dU = dQ − pdV = ( dT = 0 )V dU =dW + dQ ⎛V ⎞ ln⎜ 2 ⎟ − dQ = dW = nRT ⎝ V1 ⎠ Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 38. Thermodynamic dQrev nR ln( V2 ) = dS = S − S = 2 1 T V1 ∂S ∂T ∂S ∂V dQrev dS = = ( + ( ) dT ) dV dependent of T and V V T T ∂S ∂T ∂S ∂p dQrev dependent of T and p dS = = ( ) dT +( ) dp p T T Reversible exchange of heat with environment ∂U ∂U ∂V dU + pdV 1 ⎡ ⎤ ) dV + pdV dS = = ( ) dT +( T ⎢ ⎣ ∂T V T T dH −Vdp 1 ⎡ ∂H ∂H ∂p ) dp −Vdp⎤ dS = = ⎢( ) dT +( ⎥ p T ∂T T T ⎣ ⎦ Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 39. Thermodynamic ∂S ∂T ( ∂S ∂p dU +pdV dH −Vdp dQrev dS = = ( dT + dp = = ) ) p T T T T As follows: 1 ⎡( ∂U cV dT ) + p⎤ dV dS = + T ⎢ ⎣ ∂V T T cp 1 ⎡( ∂H ) − V ⎤dp dS = + dT ⎢ ⎥ T ∂p T T ⎣ ⎦ in the case of changing the phase (e.g. liquid – solid) reversible: entrophy of changing is used dH −Vdp dQ T = dS = T ΔH ΔS = For isobar and isotherm: T Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 40. Thermodynamic Normally all reactions are irreversible but in the case of equilibrium - changing the phase: ΔH T ΔS = ⇒ TdS = dH dS =0 Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 41. Thermodynamic 1st in the case of a closed system and using the law of thermodynamic: dU T dS − ≥ 0 ⇒ (V, T = constant) (p, T = constant) T now with Helmholtz (free energy A) and Gibbs (free enthaphy G) new functions are introduced: A = U − TS G = Δ A = ΔG = H − TS Δ U − T Δ S ΔH − TΔS in the case G is positiv the reaction is not spontaneous and in contrast if G is negativ the reaction is spontaneous Environmental Chemistry, A. Ladstätter-Weißenmayer dS − dH ≥ 0 ⇒
  • 42. Thermodynamic 4 thermodynamic functions: U, H, A, G Closed system, homogenic compound Work only as so called “volume-work” 1st Internal energy following the “volume-work”: law and replacing dQ with entropy and dW with dU = dQ + dW = TdS − pdV Enthalphy: H = U + pV, dH = dU + pdV + Vdp dH = TdS + Vdp dA = dU - TdS - SdT dA = − SdT − pdV dG = −SdT + Vdp Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 43. Thermodynamic ÖGuggenheim scheme: ∂U ∂S ∂H ∂S ⎛ ⎞ ⎛ ⎞ T = = ⎜ ⎝ ⎟ ⎠ V ⎜ ⎝ ⎟ ⎠ p −⎛ ∂ ⎞ U ∂A ⎛ ⎞ p = = −⎜ ⎜ ⎟ ⎟ ⎠ T ∂V ⎝ ∂V ⎝ ⎠ S A ⎜ ⎟ ∂ −⎜ ∂G − ⎛ ⎞ ⎛ ⎞ S = = ⎟ ⎠ p ⎝ ∂T ∂T ⎠ V ⎝ ⎛ ∂ ⎜ H ⎞ ⎛ ∂ ⎜ G ⎞ V = ⎟ = S ⎟ ∂p ∂p ⎝ ⎠ ⎝ ⎠ T Environmental Chemistry, A. Ladstätter-Weißenmayer S U V + H A - p G T
  • 44. Thermodynamic Definitions: Adiabatic: no exchange of energy (walls do not permit energy transfer) Diathermic: contrast to adiabatic Exothermic: process when heat (energy) is released Endothermic: contrast to exothermic (absorbing of energy) Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 45. Thermodynamic Thermodynamics of mixture Partial molar volumes of the components of a mixture ⎛ ⎞ ∂V ⎟ ⎜ V = ⎜ ⎟ j ∂n ⎝ ⎠ j p ,T ,n ' nj are the numbers of moles the composition of the mixture (e.g. H2O and addition of e.g. dnA of A) C2H5OH) is changed by the ⎛ ⎞ ⎛ ⎞ ∂V ∂V ⎜ ⎝ in the case ⎟ ⎜ ⎝ ⎟ ⎠ dV = dn + = V A dn + V B dn dn A B A B ∂n ∂n B A ⎠ p ,T ,n p ,T ,nA B we know the partial molar volumes then the total volume V = n + n BV B AV A Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 46. Thermodynamic partial molar quantity can also be expressed by the partial molar Gibbs function ⎛ ⎞ ∂G ⎟ ⎜ μ = ⎜ ⎟ j ∂ n ⎝ ⎠ j p ,T ,n ' → total Gibbs function G = n A μ A + nB μ B μA μB are the chemical potentials (or molar free enthaphy) at the composition changing dG = n Ad μ A + nB d μ B at constant pressure and temperature n Adμ A + nB dμ B = 0 ∑ n j d μ = 0 j two gases at a temperature and a pressure Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 47. Thermodynamic → Gibbs function of mixing p A pB ΔG = n + n RT ln RT ln mix A B p p other thermodynamic mixing functions ∂G − S = ∂T p ,n a mixture of a perfect gas ∂ΔGmix ⎞ ⎛ = −nR (x xB ) ΔSmix = −⎜ ⎝ + ln x x ln ⎟ ⎠ A A B ∂T p,nA ,nB since lnx < 0 → ΔSmix > 0 the enthalpy of mixing is then: ΔG = ΔH − TΔS Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 48. Thermodynamic Chemical equilibrium: (ΔG)p,T = 0 Chemical reaction, if the chemical potential is decreasing: (ΔG )p ,T <0 Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 49. Thermodynamic For isothermal processes ΔT = 0 and ΔHmix = 0 (constant p, T) The chemical potential of liquids : At equilibrium: ⎛ p ⎞ Θ μ = μ + RT ln = ⎜ ⎝ ⎟ ⎠ Θ p with the chemical potential ∂G ∂n ⎛ ⎞ μ = ⎜ ⎝ ⎟ ⎠p ,T Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 50. Thermodynamic Ideal solution: The chemical potential of pure liquid A is μ*A(l) The vapor pessure is then: p*A Chemical potential in vapor is: p ∗A pΘ μ + RTln Θ A Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 51. Thermodynamic the both chemical potential are equal at equilibrium: p ∗A pΘ μ A ∗ (l) = μ ∗+RTln Θ A in addition an other substance is present then: The chemical potential of A in the liquid is μA(l) and its In this case: μA (l) = μA + RT ln⎜ vapor pessure is then: pA ⎛ pA ⎞ Θ ⎟ ⎠ Θ p ⎝ to eliminate the standard potential of the gas the eqn. are combined Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 52. Thermodynamic Henry’s Law With xB (mole fraction of solute) and KB is a constant (with dimensions of pressure) Spontaneous chemical reactions A + B → C + D A, Reaction completed: all the transformed to products B, reaction partially: equal A + B and C + D C, no reaction: only reactants A → B Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 53. Thermodynamic A ↔ B equilibrium perfect gas equilibrium: ⎛ pB ⎞ ⎛ pA ⎞ Θ Θ ΔG = μB − μA = ⎜μB + RT ln ⎟ − ⎜μA + RT ln ⎟ ⎠ Θ Θ p p ⎝ ⎠ ⎝ pA the ratio of the partial pressures is an example of reaction quotient Qp Δ G = Δ G + RT ln Q p at equilibrium ΔG = 0, the value of the reaction quotient = equilibrium constant Kp Θ ⎛ ⎞ ⎜ pB ⎟ K = (Q ) =⎜ ⎟ p p equilibriu m p ⎝ A ⎠ eq then with ΔG = 0, Qp = Kp Θ = − Δ G RT ln K p Environmental Chemistry, A. Ladstätter-Weißenmayer ΔG = ΔGΘ + RT ln pB
  • 54. Thermodynamic e.g 2A+ 3B → C + 2D Θ Θ Θ Θ ΔGΘ = −2μ −3μ + μ + 3μ A B C D 2 ⎛ ⎞ aC aD ⎟ = (Q ) ⎜ K = ⎜ ⎟ equilibrium 2 a 3 a ⎝ ⎠e q A B Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 55. Chemical Equilibrium Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 56. Chemical Equilibrium Gibbs-Energy is defined: G = U + pV − TS H = U + pV U = H −pV As → G = H − pV + pV − TS= − TS H With U, V, S and H Often the differential form is used: dG = dU + d ( pV ) − d (TS ) =dQ + dW + − d( pV ) d(TS) dQ T And dS = → TdS = dQ dG = TdS − pdV + pdV +Vdp − TdS − SdT = Vdp − SdT Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 57. Chemical Equilibrium If the number of moles are not const: dU = TdS − pdV + Σμidni dG = −SdT +Vdp + Σμidni At the equilibrium, the term of Gibbs energy equal zero, . dG =0 Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 58. Chemical Equilibrium Any reactions try to move toward the equilibrium in both reactant and product and time is needed to reach the equilibrium e.g. in the atmosphere at the present time, CO2 is rising to reach the equilibrium temperature. Chemical Equilibrium: the state in which the chemical activities or concentrations of the reactants and products have no net changed over time. The reaction rates of the forward and reverse reactions are generally not zero but, being equal, there are no net changes in any of the reactant or product concentrations. This process is called dynamical euqilibrium In this path, we will use the thermodynamics to describe the equilibrium under the reaction conditions. In term of Gibbs energy for the perfect (ideal) gas, ln pA ΔG = ΔGΘ + RT pB as pA is the partial pressure of reactant A and pB is the partial pressure of product B. Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 59. Chemical Equilibrium At the equilibrium, the term of Gibbs energy equal zero, . ΔG =0 Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 60. Chemical Equilibrium Let consider the reaction; ν A A +ν B B ⇔ νC C +ν D D in term of the reaction activity, we define the ratio of partial pressures at equilibrium as the thermodynamic equilibrium constant (as denoted Kp). Thus the Gibbs energy of the standard state can be written as: νC ν D aC aD = ∏ a J Θ ν − Δ G = RT ln K p − ΔG / RT = ln K p K = J p ν ν aA aB A B ; Θ aνi J is the partial pressure of substance J having mole. νi The equilibrium constant can be defined in term of concentration, Kc. [D]ν D [C]ν C KC = [A]ν A [B]ν B Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 61. Chemical Equilibrium Example: combustion process in motor: N 2 + O2 ⇔ 2 NO [NO ] 2 [N 2][O2 ] kforward = K = kbackward The rate constants and the concentration of the reactants and products are considered in the equilibrium constant Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 62. Chemical Equilibrium The relationship between equilibrium constants in terms of partial pressure (KP) and concentration (KC) can be determined by using the ideal gas law. nRT V p = νC ν D ν ν ⎛ ⎞ ⎛ ⎞ C D RT RT ⎜ ⎟ ⎜ ⎟ [C] [D] ( ν ν ν ν aC a V V C D C D ⎝ ⎠ ⎝ ⎠ )Δν j D K = = = RT [A] A [B] P ν ν ν ν ν ν a A a B ⎛ν A ⎛ν B B ⎞ ⎞ A B A B RT RT ⎜ ⎝ ⎟ ⎜ ⎠ ⎝ ⎟ ⎠ V V K = K (RT )Δν j P C Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 63. Chemical Equilibrium How equilibria respond to pressure? Henry’s law (real solution) For the real solutions at low concentration, the proportional of its mole fraction (XB) and the vapour pressure of the pure substance (PB) is constant (KB). pB = X B KB Or the concentration of a gas in a solution is direct proportional to the partial pressure of the gas over the solution. The propornality is difined by K (Henry's law coefficients representing solubility (i.e. aqueous-phase composition divided by gas- phase composition) . This law is mostly used to understand the real atmosphere, for example the reaction: N2O5 (g) + H2O (l) → 2HNO3 in form of stick to N2O5 (g) stick to the surface of H2O (l) Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 64. Chemical Equilibrium Additional superscripts denote which properties are used for Henry‘s law: [mol/(kg*atm)] kH,inv kH,inv kH,inv Environmental Chemistry, A. Ladstätter-Weißenmayer symbol definition description unit(s) kH cp c/p aq-concentration / partial pressure [mol/(m3*Pa)] or [M/atm] kH cc c/c aq-concentration / gas-concentration dimensionless kH bp b/p molality / partial pressure [mol/(kg*Pa)] or kH xp x/p molar fraction / partial pressure [1/atm] px p/x partial pressure / molar fraction [atm] pc p/c partial pressure / aq-concentration [m3*Pa/mol] cc c/c gas-concentration / aq-concentration dimensionless
  • 65. Chemical Equilibrium Raoult’s law (ideal solution) The ratio of the partial pressure of each component to its vapour pressure as a pure liquid pA pA * is approximately equal to the mole fraction of A in the liquid mixture. pA: partial pressure over liquid, pA*: partial pressure of liquid pA = X A pA * Example: A ⇔ 2B The reaction: at t=0 the molar reactant A = n and the product B = 0 at t=t the molar reactant A = n(1-α) and the product B = 2nα Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 66. Chemical Equilibrium (1 −α)n 1 −α the mole fraction x = = (1− α )n + 2nα A 1 + α 2nα (1 − α )n + 2n xB = = the mole fraction 2nα 1+ α 2 2 ⎛ ⎞ ⎛ ⎞ p x p ⎜ B ⎟ ⎜ B ⎟ 2 ⎝pΘ ⎠ ⎝ pΘ ⎠ 4α² p xB p K = = = = (1 − α )pΘ P ⎛ p ⎞ ⎛ x p ⎞ xA pΘ ⎜ ⎝ A ⎟ ⎠ ⎜ ⎝ A ⎟ ⎠ pΘ pΘ 1 ⎛ ⎞ 2 ⎜ ⎟ ⎜ K p ⎟ α = p ⎟ ⎜ ⎜K p + 4 ⎟ pΘ ⎝ ⎠ Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 67. Chemical Equilibrium It shows that the amounts of A and B depend on pressure. For example, if P is increased, the amount of α will decrease to reach the new equilibrium, (the equilibrium constant, Kp, is independent of pressure. ⎛∂K ⎞ ⎠ T ⎜ ⎝ ⎟ = 0 ∂p This corresponds to Le Chetalier’s principle. Le Chetalier principle “A system at equilibrium, when subjected to a disturbance, responds in a way that tends to minimize the effect of the disturbance.” e.g. if you want to have more products → change: 1. 2. T or/and p Increase concentration of reactants or decrease the concentratopn of product continously An additional catalysator 3. Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 68. Chemical Equilibrium How equilibria respond to temperature? From the Gibbs energy of the standard state at the equilibrium; Θ − ΔG =RT ln K p ΔGΘ =− ln Kp RT 1 ∂ Θ ∂ ΔG =− ln Kp ∂T R ∂T T Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 69. Gibbs-Helmholtz-Equation G =H − TS connection G, H, TS: ∂G ∂T ⎛ ⎜ ⎞ ⎟ =− S Isobare modication of G with T: ⎝ ⎠ p ∂G ∂T H −G ⎛ ⎜ ⎞ ⎟ =− Replacement of S: T ⎝ ⎞ ⎠ p G T ∂G ∂T H T ⎛ ⎜ − =− All G on left side: ⎟ ⎝ ⎠ p 1 ∂G G − H ⎛ ⎜ ⎞ ⎟ − = Division by T: T 2 T 2 T ∂T ⎝ ⎠ p Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 70. Gibbs-Helmholtz-Equation ∂G ∂T 1 T G − H ⎛ ⎜ ⎞ ⎟ − = T 2 T 2 ⎝ ⎠ p ∂ G T − H ⎛ ⎜ ⎞ ⎟ = Summary on right side: T 2 ∂T ⎝ ⎠ p Product law: ∂ ∂ ∂ G T 1 T 1 T ⋅ ⎛ − 1 ⎞ ⎛ ⎜ ⎞ ⎟ ⎛ G ⎞ ⎟ (G ) = ⋅ = ⋅ + G ⎜ ⎜ ⎟ T 2 p ∂T ∂T ∂T ⎝ ⎠ p ⎝ ⎠ p ⎝ ⎠ Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 71. Gibbs-Helmholtz-Equation ⎜ ⎟ T 2 ∂T T ⎝ ⎠ p Connection of temperature dependency of Gibbs-Potential and Enthalpy ∂ ΔG T ΔH T 2 ⎛ ⎜ ⎞ ⎟ =− ∂T ⎝ ⎠ p van‘t Hoff‘ Reaction isobare ⎜ ⎟ RT 2 ∂T ⎝ ⎠ p Environmental Chemistry, A. Ladstätter-Weißenmayer ⎛ ∂ ln K ⎞ = Δ H ° ∂ ⎛ G ⎞ = − H
  • 72. Chemical Equilibrium Use the Gibbs-Helmholz equation: ∂ ΔGΘ ΔH Θ ⎛ ⎞ ⎜ ⎝ ⎟ ⎠ = − ∂ T T ² Therefore, ∂ ln K ΔH Θ p = T²∂(1/T ) RT ² ∂ ln Θ ∂ ln K Θ K p Δ Δ H H and p = = ∂(1/T ) R ∂T RT ² These are the simplifies of the van ‘t Hoff equations, which show the changing of temperature in equilibrium is dependence on the changing of enthalpy. Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 73. Photochemistry Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 74. Photochemistry Photochemistry Photochemisty: chemical reactions initiated by light Conditions: absorption of light of the molecule which reacts in a wavelenght region of the incoming light Absorption of light leads to an energetic exited level of a molecule This additional energy can be lost by emission (singulet-level = flourescence) or triplel-level = phosphorescence) Or without radiation = collision, chemical reaction Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 75. Photochemistry Environmental Chemistry, A. Ladstätter-Weißenmayer Ground level Excited Triplet level Excited Singlet level
  • 76. Photochemistry Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 77. Photochemistry E + hν hν hν ΔE = Ej - Ei = hv E 10-4 Rotation levels: eV 5*10-2 eV Vibration levels: Electronic levels: 3.00 eV Lifetime: crossing from one to the other level, stay on an exited level (eletronic: in VIS-wavelenght region = 10-9s rotational: in mirco wave region = 103s) Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 78. Photochemistry Photochemistry Most chemical processes in the atmosphere are initiated by photons. The general reaction: ABC + hν → product The rotational energy At low energy: in microwave or FIR wavelengths) : λ > 25 μm (rotation excited) ABC + hν → ABC * Molecules will be emitted or collided the original molecule itself. ABC + hν → ABC* → ABC + hν or ABC + hν → ABC* → ABC Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 79. Photochemistry The rotational energy is EJ : EJ = + 1) BJ (J J= constant rotational number 1 I μr² B ≈ I = m1m2 μ = = reduced mass m + m 1 2 For example: IHCl = 1 and ICl2 = 1/37 , The small value of I has large B, it introduces to the large energy EJ value, therefore . EJ ,Cl >EJ ,HCl 2 Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 80. Photochemistry The vibrational energy At higher energy: in thermal IR wavelength, 2.5 μm < λ < 25 μm. (vibrational excited ) ABC + hν → ABC * or emit ABC + hν → ABC + hν ' ' → ABC* collision ABC + hν → ABC* → ABC Molecules will be collided or emitted the original molecule itself with the vibrational energy Eν : 1 2 ⎛ ⎞ 1 k 1 1 Eν = hν0 ⎜ν + ⎝ μ = ⎟ ⎠ ν0 = + μ1 μ2 2π μ Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 81. Photochemistry Combination of rotation and vibration Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 82. Photochemistry Combination of rotation and vibration (spectrum) Spectrum of benzene gas phase liquid Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 83. Photochemistry Spectrum of CO ν ~ Δν ~ ν ~ Δν ~ Line Line P(1) 2139 .43 R(0) 2147 .08 3.88 3.78 P(2) 2135 .55 R(1) 2150 .86 3.92 3.73 P(3) 2131 .63 R(2) 2154 .59 3.95 3.72 P(4) 2127 .68 R(3) 2158 .31 3.98 3.66 P(5) 2123 .70 R(4) 2161 .97 Δν=ν0-2BJ Δν=ν0+2B(J+1) Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 84. Photochemistry The electronic energy At high energy: in UV and visible molecules vibrated, wavelengths, will rotated be and have electronic transition. In the physical processes lead to emission of radiation and energy is converted to heat. In the photochemical processes several lead to the as pathways shown in the figure. Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 85. Photochemistry Atomic and molecular spectroscopy: ´ In general, an atomic term symbol is of the form 2S+1LJ, where 2S+1 represents the spin multiplicity of the atom, L represents the orbital angular momentum of the atom and J represents the total quantum number, J = L+S. Example 2p Oxygen atom 2s Electronic configuration is 1s2 2s2 2p4. 1s Atomic term symbol at ground state is 3P2. Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 86. Photochemistry Light source Absorption cell Environmental Chemistry, A. Ladstätter-Weißenmayer Photo detector Screen Reference cell Spectrometer
  • 87. Photochemistry Oxygen molecule In atmosphere, the oxygen molecule is formed by photolysis of ozone. (3 Σ−) + O(3 P ) ) + O(1 D) O + hυ ⎯ ⎯→O triplett 3 2 g (1Δ − ⎯ ⎯→O singulett 2 g Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 88. Photochemistry Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 89. Photolysis rate, frequency Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 90. Photolysis Photolysis rates and frequency rate, frequency The general reaction: AB + hν → product The photolysis rate from the reaction is d [ AB] = −J1[ AB] dt where as [AB] = concentration of AB substance d [AB] = photolysis rate dt → τ = 1/J with J in [s-1]) J1 = photolysis frequency (similar to k Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 91. Photolysis rate, frequency J: Integration of product of spectral actinic flux I (intensity of light), spectral absorption coefficient σ [cm²](area in which one photon is absorbed) and relative quantum yield (Ø [cm-2 s-1]) λax J1 (λ,T ) = ∫I(λ)σ (λ,T)Φ(λ,T)dλ λmin Photons can arrive from all directions on the molecule → spheric flux has to be 2 π ∫ 0 π ∫ 0 considered I(λ) = R(λ,θ )dΩ dΩ = sin θdθdϕ dΩ Φ Θ infinitesimal solid angle azimuth solar zenith angle Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 92. Photolysis rate, frequency Quantum yield (Ø) is the relative efficiency of various photophysical and photochemical processes. number of molecule photolysed by the chemical process φ = total number of photo absorbed O2 +hν → O + O For example: Φ is wavelength dependent, all important at different λ. Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 93. Photolysis rate, frequency Quantum yields for NO3 photolysis: (dotted line) NO3→ NO2 + O NO3→ NO + O2 (solid line) (dashed line), fluorescence quantum yield (From F-P&P) Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 94. Photolysis rate, frequency J depends on – Light intensity from all directions “Actinic flux” – Absorption cross section (σ) – Quantum yield for photodissociation (Φ) – All are functions of wavelength λ 2 ∫ λ1 Iλσ (λ )φ(λ )dλ J = Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 95. Photolysis rate, frequency e.g. Destruction and production of O3 O3 + hν (l< 310 nm) → O + O2 J1 O + O2 + M → O3 + M k3 Productionrate: d [O3]/dt = k3 [O][O2][M] Both processes production and destruction are very fast → equilibrium: Production = destruction J1 [O3] = k3 [O][O2][M] [O]/[O3] = J1/k3[O2][M] As [O2] and [M] decrease with increasing height → [O]/[O3] increase Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 96. Photolysis rate, frequency In addition O is produced by the photolysis of O2 O2 + hν (λ< 230 nm) → O + O J2 d [O]/dt = J2 [O2] Photolysis rates of O2 (J2) and O3 (J1) at different heights h. Measurements at the same time of ozone over T exas Environmental Chemistry, A. Ladstätter-Weißenmayer Height [km] Height h
  • 97. Photolysis rate, frequency Kinetics Order of reaction: Overall = sum of more than one elementary reaction The order with respond to the individual reactant First order reaction A → B d[ A] − = k[ A] dt d[A] − = kdt [A] Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 98. Photolysis rate, frequency d[A] − = kdt [A] [ A] ∫ [ A]0 t −∫ kdt 0 d[A] = [A] order [A] =[ A] exp(−kt ) [A] = −kt ln 0 [ A]0 time 1 [ A] = [ A]0 2 1 [ A]0 ln 2 ln 2 1 2 t = = ln = −kt 1 2 1 2 k [ A]0 Environmental Chemistry, A. Ladstätter-Weißenmayer 1st
  • 99. Photolysis rate, frequency 1st order: A → C + D 2nd order: A + B→ C + D 3rd order A + B + M→ C + M Molecularity of Reactions • Unimolecular: overall is first order. AB → A + • Bimolecular: overall is second order, two B body reactions A+ BC → AB + C Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 100. Photolysis rate, frequency overall is third order, three body reactions, association reactions. example O + O2 + M → O3 + M • T ermolecular: M = usually N2 or O2 for atmosphere aA + bB → cC+ dD The general reaction: d[A] d[B] d[C] d[D] = = = − = − Rate of reaction dt dt dt dt Rate of reaction in terms of concentrations can be written: Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 101. Photolysis rate, frequency Rate of reaction, = k[A]a[B]b where as k is rate constant. For elementary reactions (a + b ≤ 3), the Arrhenius equation can be apply to calculate the rate constant k → temperature dependence of rate constant is given by Arrhenius equation Ea ⎞ k = Aexp⎛ − ⎜ ⎝ ⎟ ⎠ RT Ea for the production Ea for the destruction where as A = pre-expectation factor Ea = Activation energy Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 102. Photolysis rate, frequency The collision theory A + BC → [ ABC ] nc Collision rate for molecules A and BC = 4 where as n = number of molecular density (concentration) and c = mean velocity d[A] ][BC]σ c − = [ A when no reaction occurs. dt Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 103. Photolysis rate, frequency d[A] Ea ⎞ = [ A][BC]σ c exp⎛ − − ⎜ ⎝ ⎟ ⎠ when reaction occurs. dt RT 8kT πμ c = k = Boltzmann constant µ = reduced mass )2 σ = π (r + r = collision cross section A BC Therefore, in collision theory: Ea ⎞ c exp⎛ − k = σ ⎜ ⎝ ⎟ ⎠ C RT Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 104. Chemical lifetime, chain reaction Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 105. Chemical lifetime, chain reaction Chemical lifetime A → First order reaction: product d =−k1[ A] Rate of reaction [A] dt s-1 Unit of k1 = concentration is often ~ to measured reaction rate Chemical lifetime 1 k1 Unit of τ1 = s Environmental Chemistry, A. Ladstätter-Weißenmayer τ = 1 2nd order 1st order 0. order
  • 106. Chemical lifetime, chain reaction Second order reaction: A+ BC → product Rate of reaction: d [ A] = −k2 [ A][BC ] dt d [ A]= k[ B] dt The true rate law is forced to be first-order form, called a pseudo-first-order rate law and k = k2 [ A] Unit of k:= cm³ molecule-1s-1 Chemical lifetime 1 k 1 τ (A) = = 1 k2[BC] Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 107. Chemical lifetime, chain reaction = 5x105 molecule cm-³ [OH]global 1st example: OH + CH 4 → CH 3 + H 2O 1 (298K) = 1x10− 14 cm3 molecules− 1 s − 1 k = 2x108 s ≅ 10 years τ1 ( CH 4 ) = CH4 k3[OH] 2nd example: OH + CO + M → CO 2 + + H M [M ] ≅ 1x10− 13 cm3 molecules− 1 s − 1 k 1 ≅ 2x107 s ≅ 8months τ (CO) = CO 1 k[OH] OH + NO2 + M → HNO3 + M 3rd example: ) = 1 [M ] ≅ 1x10− 11 cm 3 molecules − 1 s− 1 k ≅ 2x105 s ≅ 2.3days τ (NO2 NO 2 1 k[OH] Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 108. Chemical lifetime, chain reaction In equilibrium (or stationary state or steady state), the production rate (P) and loss rate (L) are equal. d [ A]= 0 = P − L dt Example: For equilibrium reaction: NO2 +NO3 + ↔ N2O5 + M M d[N2O5 ] =0 = P − L = k ][NO ] − [NO k [N O ] + 2 3 − 2 5 dt k− [NO2 ][NO3 ] K = = k+ [N2O5 ] Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 109. Chemical lifetime, chain reaction (3rd For the termolecular order) reaction: A + BC → ABC* → k1 ABC * A + BC k2 ABC *+M → ABC + M k3 d[ABC] = 0 = k [ A][BC] − k [ ABC*] − k [ ABC*][M ] 1 2 3 dt Assume that [ABC*] is in the steady state: d[ABC] = k [A][BC] − (k + k [M ])[ ABC*] 1 2 3 dt Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 110. Chemical lifetime, chain reaction d[ABC] = k [ A][BC] − (k + k [M ])[ ABC*] 1 2 3 dt k1[ A][BC] [ ABC*] = k2 + k3[M ] d[ A] d[ABC] d[B] =− = − = k3[ ABC*][M ] dt d[ABC] dt dt k1[ A][BC] = = k [M ] k"' [A][BC] 3 complex k2 + k3 [M ] dt k1k3[M ] = k"'complex k2 + k3[M ] Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 111. Chemical lifetime, chain reaction At low pressure k2 > k3[M] k1k3[M ] = k"'complex,lowP k2 A exp(− T3 ) A exp(− T1 )[M ] T +T −T A A 3[ T 1 T 1 3 3 1 2 = = [M ]exp− ( k"' ) complex,lowP T A T A exp(− 2 ) 2 2 T Ta = A exp(− k" 'complex,lowP )[M ] T Ea T = i R Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 112. Chemical lifetime, chain reaction T1 ) T At high pressure k3[M] > k2 =k =A exp(− k"'complex,highP 1 1 Complex Reaction: A + B ⇔ ABC → AB + C - ABC is complex formed at top of energy hill. - It referred to as transition state. - T er-molecular is just one good example of the complex elementary reaction, when the transition state of elementary reaction has a living long enough. Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 113. Chemical lifetime, chain reaction Chain reaction: A2 + hν → 2A Initiation: k1 Propagation: k2 A + BC → AB + C DB + A AB + D → k3 T ermination: A + AB → A2 B k4 Chain Length: CL k2 [BC][ A] k2 [BC] CL = = A k4 [ A][ AB] k4 [ AB] 1 1 1 A and AB are chain carriers = CL CLA CLBC Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 114. Chemical lifetime, chain reaction Chain reaction: Example CH4 + O2 → CH3 + HO2 Initiation: Propagation: CH3 + OH + O2 → CH2O + OH CH4 → H2O + CH3 1st reaction 2nd reaction: OH + CH2O → H2O + CHO CHO +O2 → HO2 + CO HO2 + CH2O → H2O2 + CHO Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 115. Chemical lifetime, chain reaction H2O2 +M → 2OH + M Intersection: Propagation: OH + CO → CO + H 3rd reaction 2 HO2 + M H + O2 + → M + → CO2 + OH HO2 CO T ermination: + → → H2O + O2 H2O2 + O2 OH HO2 HO2 + HO2 Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 116. Heterogenous Reactions Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 117. Heterogenous Reactions Heterogeneous reactions Homogeneous reactions: reactants are in the same phase, reactions between two gases, two liquids or two solids Heterogeneous reactions: reactants are in two or more phases and/or reactions on the surface of a catalyst of a different phase (manufacturing engineers have used surface reactions for synthesis of micro and nanoscale features in biomedical devices) CO2 formation Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 118. precipitation Heterogenous Reactions • The heterogeneous interaction of HCl with chlorine containing reservoir molecules (e.g. ClONO2 and HOCl on low-temperature ices leads to the release of Cl2 → effect on atmospheric chemistry in the polar regions ("ozone hole“) • heterogeneous reactions of NOx leading to N2O in the presence of SO2 and airborne particles→ heavily polluted environments (power stations) Eva- flux smelting on frozen ture density Environmental Chemistry, A. Ladstätter-Weißenmayer land Flow in Gas (CO2)- exchange Heat Eva- wind porati Ocean Salt/ ice Tempera- flow ocean ice atmosphere
  • 119. Heterogenous Reactions 5 examples for heterogenous reactions: • interaction of atmospherically relevant molecules (e.g. H2O and NO2 with combustion aerosol (soot) particles → important in the planetary boundary layer and upper troposphere in relation to aircraft-induced Cirrus cloud formation • NO2 in a chemical oxidation-reduction reaction on soot result in HONO or in NO (depending on type of soot) → HONO important OH source early in the morning which controls the development of photochemical smog • heterogeneous interaction of HX (X=Cl, Br) on ice reveals that an interface region of approximately 100-200 nm thickness (depending on type of ice, the HX/ice interface controls a large extent the kinetics of effective bimolecular reactions with reservoir molecules e.g. ClONO2 and HOCl) Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 120. Heterogenous Reactions Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 121. Heterogenous Reactions Heterogeneous condensed surface phase reaction Multiphase reactions, for example, SO2 and H2O2 diffuse to the cloud droplet. SO2 (g) H 2O SO2 (l) − + + SO (l) H O HSO H 2 2 3 − 2− + + H O → SO + H + HSO In stratosphere, O H 3 2 2 4 2 ClONO2 + HCl(l) → Cl2 + HNO3 (l ) It occurs in flog, aerosol, surface of ocean, plants or PSC. Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 122. Heterogenous Reactions Liquid phase reaction : diffusion controlled kinetic behaviour. The diffusion-controlled rate constant (kD) is kD = 4πrAB*DAB, where as diffusion coefficient for the reaction. DAB is the Na+ + H O → + The example is Na+ in H2O. NaOH +H 2 −9 2 −1 DAB rAB = 1.3 × 10 m s = 0.5nm ≅ 8 × 10 − 12 cm 3 molecule − 1 s − 1 ≅ 6.02 × 1023 ⋅ 8 × 10− 12 ⋅ 10− 3 ≅ 5 × 109 dm3 mol − 1 ⋅ k = 4πr ⋅D D AB AB s −1 Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 123. Heterogenous Reactions In general, the rate constant of the gas phase(kG) kG ≡ 2*1011 dm³ mol-1 . s-1 Therefore, kD ≡ 400 kG faster than gas phase reaction. Liquid phase reaction Environmental Chemistry, A. Ladstätter-Weißenmayer Catalytic active surface
  • 124. Heterogenous Reactions Multiphase reactions 1. 2. 3. 4. 5. Gas diffusion Absorption Diffusion into the surface (not so fast) Chemical reaction in liquid Diffusion of products to the surface 1 6. Desorption of products to the surface Environmental Chemistry, A. Ladstätter-Weißenmayer 5 4 6 2 3
  • 125. Heterogenous Reactions Uptake coefficient, γ, is the ratio of molecules lost to a surface to the number of gas- surface collisions. The rate of collision of a molecule X with an area A of the surface is ω then the rate of loss of X per unit volume (V) is equal to ω V γ . , γ ω V γcA[X ] d[X ] = = dt 4V therefore, γcA k = s 4V Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 126. Heterogenous Reactions The partitioning of molecules between gaseous and liquid phases, the solubility of gas at low solute concentration obeys the Henry’s law. [ X s ] = H x Px where [Xs] is the concentration of X in the solution, px is the pressure in the gas phase and Hx is the Henry’s law coefficient. The uptake coefficients at time t is 1 π 1 1 2 c 1 = + t 2 1 γ t γ 0 4H x RTD 2 Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 127. Heterogenous Reactions Consider reaction on the surface of atmospheric particles. The Langmuir adsorption isotherm is the simplest of equation to express the partitioning of gas between surface and gas phase. The surface coverage (θx) is , K = 10 K = 1 K = 0.5 1,0 0,8 bpx θx = 0,6 1 + bp 0,4 x 0,2 where b is a constant equal to the ratio of rate coefficient for adsorption onto the surface and its desorption. The kinetics of reaction for a single reactant are developed by including a loss of the adsorbed molecule, 0,0 0 2 4 6 8 10 p the rate coefficient for this first-order loss process is kL. The chemical rate change is . Rate = kLθ x = kLbx px Environmental Chemistry, A. Ladstätter-Weißenmayer θ
  • 128. Heterogenous Reactions k A + B ⎯ ⎯→ P ; v = k θA θB Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 129. Chemistry of the upper atmosphere Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 130. Chemistry of upper Chemistry of the upper atmosphere atmosphere Energy source: Solar radiation, in short wavelength (UV-Vis) associate with the absorption of molecule by electronic transition. Photolysis: Chemical changing and transition energy heat clumped into the atoms. At the surface: absorption of visible energy leads to biological mechanism. The first protection layer absorption are O, N, H-α band, N2, it leads to the chemistry of ions and molecule in the heterosphere (ionosphere+ thermosphere, > 80 km). Environmental Chemistry, A. Ladstätter-Weißenmayer negative organic ions Benzene, complex organic compounds ionisation dissoziation molecular nitrogen and methane Sun light High energetic particles
  • 131. Chemistry of upper atmosphere The atmosphere is divided into 5 layers. Troposphere is the first layer above the surface and contains half of the Earth's atmosphere. Weather occurs in this layer. Stratosphere: Many jet aircrafts fly in this layer because it is very stable. Also, the ozone layer absorbs harmful rays from the Sun Mesosphere: Meteors or rock fragments burn up in there; the atmosphere reaches its coldest temperature of around -90°C in the mesosphere. Thermosphere layer with auroras, space shuttle orbits, the air is thin, small change in energy - large change in temperature (solar activity heat up to 1,500° C or higher) Ionosphere an extension of the thermosphere, less than 0.1% of the total mass of the Earth's atmosphere (ionisation by solar radiation) Exosphere: The region where atoms and molecules escape into space is referred to as the exosphere. The atmosphere merges into space in the extremely thin exosphere. This is the upper limit of our atmosphere. Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 132. Chemistry of upper atmosphere Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 133. Chemistry of upper atmosphere The second protective layer is hν (100 < λ < 200 nm). NO2 source is transported from the troposphere, where is processed in soil (NO, N2O) N 2O + h ν → NO + N N 2O + hν → N 2 + O The third protective layer is the massive absorption from: − (3 ∑ ) + hν → O + O O2 g Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 134. O2 + h ν → O + O O + O2 + M → O3 + M O + O3 → O2 + O2 O3 + h ν → O + O2 Chemistry of upper atmosphere In 1929, Chapman proposed the Chapman cycle: Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 135. Chemistry of upper atmosphere In 1929, Chapman proposed the Chapman cycle: hν → O + O O2 + + O2 Production: (1) (2) +M → O3 + O M Loss: (3) O + O3 → O2 + O2 (4) O + h ν → + O • O 3 2 Chapman-Cycle: explain qualitative the observed stratospheric O3 • but: concentrations too high (factor 2), maximum too high • uncertainties in measurements can not explain the deviations → loss process in addition … Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 136. Chemistry of upper atmosphere In 1950-1960, using the Flash photolysis proved that k3 is slow, therefore it should be something going on in this region. In 1940, Meinel observed the OH emission. In 1952, Bates and Nicolet suggested odd oxygen cycles. H + O3 → OH + O2 Cycle: 2 (35-60 km) Cycle:1 OH + O3 → HO 2 + O 2 HO + O → OH + O ÓH +O →H +O2 2 2 Net: + O3 → O2 + O2 O + O3 → O2 + O2 O Net: H2O-source in the stratosphere: H 2O + hν → OH OH-source: + H (Oxidation of CH4, not direct injection of H2O from troposphere) Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 137. Chemistry of upper atmosphere The NOx cycle: in 1979, aircraft emission from NOx was found. NO + O3 → NO2 + O → NO2 + O2 NO + O2 O + O3 from active O(1D) → O2 + O2 O3 + Net: NOx -source: (1 (1 hν → O D) + O2 Δ) O(1 D) +N O → N + O 2 2 2 1 O( D) + N 2O → NO + NO from NOx ion molecule down welling from the thermosphere and mesosphere. • HOx, NOx and Chapman-cycle together agree with measured stratospheric O3 • ⎯⎯→ Nobel prize 1995 (Paul Crutzen) Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 138. Chemistry of upper atmosphere - NO2 -source: from troposphere => NO3 >> N2O, N2, NO => NH+ 4 Loreloch measured the troposphere and found CFC’s [CFC-11 (CF3Cl) and CFC- 12(CF2Cl2)]. CFC is hanged around the atmosphere. Rowland and Molina, in 1974, said CFC in the troposphere transports to the stratosphere. In addition: Cl and Br → changing in the concentration of stratospheric O3 Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 139. Chemistry of upper atmosphere CF2Cl2 + hν → CF2Cl + Cl) ClOx-cycle: (source: CFC-12: Cl + O3 ClO + O → ClO + O2 → Cl + O2 net :O3 + O → 2O2 Termination (formation of reservoirs) : Cl + CH4 → HCl + CH3 ClO+ NO2 + M → ClONO2 + M Re - release of Cl : HCl + OH → Cl + H2O ClONO2 + hν → Cl + NO3 Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 140. Chemistry of upper atmosphere 1985: scientists analysed an O3 decrease in polar regions Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 141. Chemistry of the stratosphere Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 142. Chemistry of the stratosphere Loss process In upper and middle of the stratosphere, HOx, involved. NOx, ClOx, FOx and BrOx are (x=H, OH, NO, Br and Cl) X + O3 → XO + O2 Removal O3 k1 k2 XO + O → X + O2 3 X+O3 O + O3 → O2 + O2 Net. d[X ] = −k [ X ][O ] + k [ XO][O] = 0 2 3 2 dt Environmental Chemistry, A. Ladstätter-Weißenmayer X Life time of O (k [X]) H kH+O3[H] OH kOH+O3[OH] NO kNO+O3[NO] Cl kCl+O3[Cl] Br kBr+O3[Br] F kF+O3[F]
  • 143. Chemistry of the stratosphere Source of OH and H (dominate in Mesosphere and upper stratosphere) CH4 + h ν →→→ H 2O H 2O + hν → H + OH Source of NOx (dominate in Stratosphere) N O + O(1 D) → NO +NO 2 (N2O + hν → N + NO) Source of Cl O(1 D) + Cl − CF → ClO + CF 3 3 Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 144. Chemistry of the stratosphere CH4 in Stratosphere oxidation 1 + h υ → O( D) + O2 → O( P) + O2 O( D) + H2O → 2OH O( D) + CH4 → OH + CH3 OH + CH4 → H2O + CH3 O2 + CH3 + M → CH3O2 + M CH3O2 + NO → CH3O + NO2 CH3O + O2 → HCHO + HO2 HCHO + h υ → H + HCO or OH + HCHO → H2O + HCO O( D) + H2O → 2OH O3 3 1 1 1 Net Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 145. Chemistry of the stratosphere How do they remove the ozone destroying? HOx H2O → escape to the space H2 + O T ermination ⇒ OH + OH + HO2 → + O2 H ,OH , HO2 H2O NO2 + M → HNO3 +M HNO3 and H2O are temporary reservoir of HOx. HNO3 + hν → H2O + NO2 H2O + hν → Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 146. Chemistry of the stratosphere Temporary reservoir of NOx NO2 + OH + M → HNO3 at night : NO2 + O3 → NO3 + h υ → NO2 + O → NO + O2 NO3 + NO2 + M → N2O5 + M NO3 + O2 What remove the temporary reservoirs? + M ClONO2 + h υ → Cl + NO3 → ClO + NO2 HCl + hυ → Cl + H Temporary reservoir of ClOx ClO + NO2 + M → ClONO2 + Cl + CH4 → HCl + CH3 HO2 + ClO → HOCl + O2 M Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 147. Chemistry of the stratosphere ClOx Note: Highlight => propagation and termination HOCl hν ClO Cl hν HCl ClONO2 HCl, ClNO are non-active reservoirs Cl, ClO are active reservoirs. Environmental Chemistry, A. Ladstätter-Weißenmayer NO2+hν CH4 O O3 HO2
  • 148. Chemistry of the stratosphere BrOx from CFCl2Br (Halons) In atmosphere, we have less Br than Cl. Br is heavy molecule and high vibrational energy. HOBr hν BrO Br hν HBr BrONO2 Environmental Chemistry, A. Ladstätter-Weißenmayer NO2+hν CH4 O O3 Fast HO2
  • 149. Chemistry of the stratosphere FOx HOF hν FO F hν HF FONO2 Environmental Chemistry, A. Ladstätter-Weißenmayer NO2+hν CH4 Fast O O3 Fast HO2
  • 150. Chemistry of the stratosphere Ozone is high produced in tropic region but amount of ozone is high in Poles. During Summer Altitude [O3] ~500 DU ~360 DU ~200 DU NP EQ SP NP EQ SP Environmental Chemistry, A. Ladstätter-Weißenmayer Dobson circulation Wave pushing
  • 151. Chemistry of the stratosphere (IGY: International Geophysics Year) – Dobson network is set for ozone measurement. 1975: 1985: Farmad proposed paper and we know the ozone hole. The explanation in the polar night NO + O3 → NO2 + O3 → NO2 + NO3 + M ⇔ NO2 + O2 NO3 + O2 + M N2O5 In polar night, polar stratospheric clouds (PSCs) type I are formed. N2O5 (s) + nHNO3 + H 2O(l) → 2HNO3 3nH 2O →´n( HNO3 • 3H 2O)(NAT ) Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 152. Chemistry of the stratosphere Ozone destruction processes: 1. Winter polar vortex N2O5 (s) → NAT 2. 3. PSC formation (no photolysis) 4. Production of PSC product ClONO2 (s) + HCl (s) → Cl2 + HNO3 N2O5 + HCl → ClONO + HNO3 or HOCl + HCl → H2O + Cl2 Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 153. Chemistry of the stratosphere 5. During Spring Cl2 + h υ → Cl + Cl ClONO+ hυ → ClO + NO 6. Ozone destruction 2{Cl + O3 → ClO + O2 } ClO + ClO + M → Cl2O2 + M Cl2O2 + h υ → Cl + ClOO ClOO + M → Cl + O2 + M 2O3 → 3O2 Net Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 154. Stratospheric O3 Polar stratospheric clouds (PSC) heterogenous reactions PSC ClONO2 + HCl ⎯⎯ ⎯→ Cl2 + HNO3 ClONO2 + H2O ⎯⎯⎯→ HOCl + HNO3 PSC PSC HOCl + HCl N2O5 + HCl ⎯⎯ ⎯→ Cl2 + H2O ⎯⎯ ⎯→ ClNO2 + HNO3 PSC PSC N2O5 + H2O ⎯⎯ ⎯→ 2HNO3 Result: ClOx from reservoir and NOx → HNO3 (Denoxification). Stratosphere (dry) → low temperatures (185K - 190K) are needed for condensation Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 155. Ozone hole Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 156. Ozone Hole Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 157. Ozone Hole • UV light can have beneficial effects too It stimulates the transformation dietary steroids into Vit D (calciferol) Insects use it to guide them to nectar sources UV light is high energy light • • • • in flowers When it strikes molecules it can cause them to beak into ions or free radicals The free radicals in turn damage large molecules such as proteins and DNA - causes mutations - lead to cancer • UV-B has a direct effect on DNA, DNA absorbs UV light of 260nm, the action of UV forms thymine dimers, this when the DNA replicates UV-B can cause a gene mutation Thymine dimer ACGCTGGCTTAGT TGCGACCGAATGA ACGCTGGCT=TAGT TGCGACCGAATGA DNA Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 158. Arctic & Antarctic Trends • Substantial losses have occurred in theArctic Arctic levels are naturally higher because of the structure of the NH • • 35-45 km, 30-50˚N ozone Note that the later year (post 1997) are above the downward slope Ozone is no longer decreasing (1st step in the recovery process) Newchurch et al. (2003) • • Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 159. Environmental Chemistry, A. Ladstätter-Weißenmayer Antarctic ozone hole theory Solomon et al. (1986), Wofsy and McElroy (1986), and Crutzen andArnold (1986) suggest reactions on cloud particle surfaces as mechanism for activating Chlorine HCl Cl2 ClONO2 HNO3 Cl2 is easily photolyzed by UV & blue/green HNO3 is sequestered on PSC light
  • 160. Environmental Chemistry, A. Ladstätter-Weißenmayer Polar Ozone Destruction 1. O3 + Cl → ClO + O2 3. ClOOCl + hν → 2Cl + O2 3 O2 2 O3 2. 2ClO+M → ClOOCl+ M Only visible light (blue/green) needed for photolyzing ClOOCl No oxygen atoms required Net: 2•O3 + solar photon → 3•O2
  • 161. 190 180 Ozone Hole timeline May Jun Jul Aug Sep 230 220 210 200 190 Oct Nov 230 220 210 200 190 230 220 210 200 190 230 220 210 200 180 180 180 ÍPolar night falls and temp cool ÏSunlight induces catalytic O3 loss Ï PSCs begin to form ÏChlorine is freed into reactive forms T become too warm for PSCs, O3 loss stops Ï Ozone hole breaks-up, mixes low ozone across SH Ï 150 150 150 150 100 100 100 100 50 50 50 50 0 0 0 0 Cold T ÎPSCs + high Cly Îhet reactions ÎLarge catalytic loss Environmental Chemistry, A. Ladstätter-Weißenmayer Ozone Temp
  • 162. How does chlorine get from our refrigerators Antarctic stratosphere? to the Cl catalytically destroys O3 Cl reacts with CH4 orCFC-12 photolyzed in stratosphere by NO2 to form non- reactive HCl or ClONO2 solar UV , releasing Cl Cl released by PSCs Carried into stratosphere in the tropics by slow rising circulation CFC-12 released in troposphere Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 163. Source Chemicals • Cl is much more abundant than Br • Br is about 50 times more effective at O3 destruction Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 164. Atmospheric Chlorine Trends Monitoring from NOAA/ERL Division – Climate 102 years CFC-12 50 years CH3CCl3 42 85 years years CFC-113 5 years Updated Figure made by Dr. James Elkins from Trends of the Commonly Used Halons Below Published by Butler et al. [1998], All CFC-113 from Steve Montzka (flasks by GC/MS), and recent updates of all other gases from Geoff Dutton (in situ GC). Environmental Chemistry, A. Ladstätter-Weißenmayer CCl4 CFC-11
  • 165. Global Stratospheric Chlorine trends Time evolution of chlorine Environmental Chemistry, A. Ladstätter- MO (2003) - Figure 1-7
  • 166. Ozone Hole How do CFCs arrive the stratosphere? · CFCs have more weight than „air“ · CFCs are stabil in the troposphere and therefore well mixed · from observations we know that CFCs arrive in the stratosphere but the concentration decrease with increasing height (photolysis) Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 167. Ozone Hole Source: CFC-12: CF2Cl2 + hν → CF2Cl + Cl → Montreal protocol and international appointments should prohibit or minimize the use of CFCs until 1996 Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 168. Ozone Hole © NOAA Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 169. Ozone Hole Correlation of ozone concentration - global warming? Ozone absorbs UV-radiation, increase of temperature in stratosphere→ less ozone lower temperature in stratosphere Greenhouse gas absorbs IR radiation from the surface, increase of temperature in lower atmosphere but cooling of upper atmosphere → global warming leads to cooler stratosphere Reduction of stratospheric temperature, increase of PSC a in spring reduction of ozone, increase of heterogenous processes in mid-latudues possible Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 170. Ozone Hole What about the future of ozone reduction? Global reduction -5% since 1965 · 10% reduction in mid-latitude winter/spring · 60% reduction in antarctic spring · 5-30% reduction in arctic spring up to 20% reduction after volcanic eruption of Pinatubo (Philippines) · Maximum of stratospheric Cl now reached ? · back to „normal situation“ in 2100 ? 1st detection is the approximate year that we’ll be able to say that the ozone hole is improving. Full recovery is the year when the ozone hole size is zero. Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 171. Ozone and climate change Increases in long-lived gases 3 Halocarbons (e.g., CFCs) N O (nitrous oxide) 2 2 CH4 (methane) 1 Tropospheric ozone increase CO2 0 Stratospheric ozone depletion -1 Ozone changes -2 Ozone change is not a primary cause of climate change. contribute to climate change. • • Ozone depleting substances Ozone changes causes a climate response that is generally the Halocarbon response. Climate change may seriously impact ozone levels. larger than • Environmental Chemistry, A. Ladstätter-Weißenmayer Warming Cooling Human produced Radiative Forcing (Watts/m 2 )
  • 172. Tropospheric Chemistry Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 173. Tropospheric Chemistry Environmental Chemistry, A. Ladstätter-Weißenmayer Stratosphere Troposphere Low pressure High pressure Low temperature High temperature Some sinks Many sinks Some sources Many sources No biological emissions Biological emissions Less anthropopgenic input Many anthropopgenic input Less vertical mxing More vertical mixing Low humidity High humidity
  • 174. Emissions in Troposphere Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 175. Tropospheric Chemistry Many different trace gases in troposphere, Complex reaction chains • • Life times from seconds to years, Transport from source to sink Life time of trace gases • source → sink • dry deposition: gases are absorbed • irreversible at the surface, Ocean and plant-surfaces • wet deposition: compounds are implemented in clouds, aerosols, rain droplets • emit and remove from atmosphere • Transport: vertical und horizontal • Source → Sink = Life time Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 176. Tropospheric Chemistry Mixing time: тM Vertical mixing: ~ 1 week (surface → tropopause) Horizontal mixing:~ 1 year (around the globe) e.g. CH4 (by physical processes and oxidation → slowly oxidydised τ = some years), HCHO (intermediate during oxidation, fast photolysed τ = some hours) • H2 τ = some years CO τ = some months • natural gases: biogenic sources, reduced form (CH4, terpenes, H2S, ..) or only oxidised (CO, N2O) = mainly solute in water “anthropogenic gases”: higher oxidised (CO2, NO2, SO2) easy soluble • only some are directly deposited Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 177. Tropospheric Chemistry Dry deposition = SO2, O3, CO2, SO3 • Micro biological sinks = CO, H2 fast soluble = HCl, HF , HNO3 Wet deposition, after arriving in aerosols = NH3, SO2, NOx Inert (physical and chemical) = NOx, Carbonyl, Sulfids (COS), • • •· CFCs • all others = photochemical reactions with OH, or direct photolysis (O3, NO2, HCHO) • near the surface: many turbulences, mixing (0.5-2 km during day and less during night) • time scale: Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 178. Tropospheric Chemistry days: some compounds, atmospheric circulation, transport Free troposphere: transport over long distances near surface ms-1 Wind speed: 10-30 in E-W direction, less in N-S and vertical direction (mid latitude) Air masses are moving in circles along latitudes in 10s of days Movings in N-S directions slower, transport between hemispheres not allowed, only during defined seasons (N →S in upper troposphere and S →N in lower troposphere (1 year) E-W averaging (tropospheric mixing τ = 1 month (2-dimensional model (height, latitude) Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 179. Tropospheric Chemistry Many compounds: •· 1940: ~24 different chemical compounds were known •· 1950: known scientists begun the resarch on chemical and biological compounds of atmoshere, less than 100 compounds were known •· today: 3000 compounds are known •· some in atmospheric gases, aerosol particles, (small and big), in rain snow, fog, in reservoirs •· natural and anthropogenic sources, pre-industrial atmosphere •· more or less reactive compounds (CH4 = 1.7-1.8 ppmv) 4 times more reactive are organic than inorganic compounds • Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 180. Tropospheric Chemistry Many compounds: • organic: HC (solutions, industrial chemicals, combustion processes) •· reaction to oxidised products (moving faster than precursors) Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 181. Tropospheric Chemistry every element of periodic system is in atmosphere • • a small number of groups of compounds: • sulfur compounds • nitrogen compounds • HC compounds • Halogen compounds • with and without HC Emission of compounds which are removed → cycles of elements (bio geo chemical cycles: e.g. B. H2O) Transport: within the atmosphere, ocean, biosphere, continent • “Elements of life”: C, O, N, S, P with reservoir substances, within the atmosphere, ocean, organism Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 182. Tropospheric Chemistry many source gases partiell oxidized (CO, SO2) or reduced (H2S, NH3) in the troposphere they are not directly oxidized by O2 first reaction is with hydroxy radical OH (atmospheric cleaning substance) • • • • example: • CH4 + 2O2 → CO2 + 2H2O Oxidation follows many reaction steps and produce redicals as function of photolysis (OH-concentration, other radicals and NOx). • Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 183. Tropospheric Chemistry • OH is the most important radical in troposphere •· many tropospheric reactions start with OH (life timeOH ~ 1 s, low concentration ~106 molec/cm3) • concentration variable dependent of: photolysis, O3- and H2O-concentration and other radicals Sources of OH: O(1D) + H2O → 2OH O3 + hν → O2 + O(1D) Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 184. Tropospheric Chemistry Photolysis of HCHO: CH2O + h ν → H + HCO → H2 + CO HCO + O2 → HO2 + CO H + O2 + M → HO2 + M under clean air situation no NO: HO2 + O3 → OH + 2O2 HO2 + NO → OH + NO2 2. Reaction of O3 with alkenes Reaction of NO3 with aldehyds or alkens during night 3. Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 185. Tropospheric Sinks for OH: Chemistry • 1. Direct key reactions: HO2 + HO2 → H2O2 + O2 OH + HO2 → H2O + O2 Formation of stabil peroxiyds 2. CH3O2 + HO2 → CH3OOH + O2 Reaction with NO2 & HNO3 in polluted areas OH + NO2 + M → HNO3 + M OH + HNO3 → H2O + NO3 3. Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 186. Tropospheric Chemistry A: Reaction with OH · SO2 + OH CO + OH → OSOOH → HOCO CH4 + OH NH3 + OH H2S + OH CH3Cl + OH B: Photolysis → CH3 + H2O → NH2 + H2O → SH + H2O → CH2Cl + H2O HCHO + hν → H + HCO (λ < 338 nm) C: Reaction of radicals with O2 CH3 + O2 → CH3OO Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 187. Tropospheric Chemistry D: Reaction of Peroxy-Radicals with NO HOO + NO → OH + NO2 CH3OO + NO → CH3O + NO2 E: Abstraction of H by O2: CH3O + O2 → CH2O + HO2 HOCO + O2 → OCO + HO2 HCO + O2 → CO + HO2 F: Addition von O2: RCO + O2 → ROCOO Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 188. Tropospheric Chemistry Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 189. Tropospheric Chemistry NMHC + NO + hν → NO2 + Pr odukte R1 NO2 + hν (λ ≤ 410nm) → NO + O R2 R3 O + O2 + M → O3 + M R4 NO + O3 → NO2 + O2 equilibrium: [NO2 ] kR 4[O3 ] = [NO] jR 2 Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 190. Tropospheric Chemistry 1 O3 + h ν ( ≤ 310nm) → O( D) + O2 1 O( D) + H2O → OH + OH RH + OH → R + H 2O R + O2 + M → RO2 + M RO2 +NO → NO2 +RO Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 191. Methan-Oxidation O3 + hν → O( D) + O2 1 wavelenght: < 310 nm 1 O( D) + H2O → OH + OH O(1 D) + M → O + M O + O2 + M → O3 + M Regeneration of O3 Oxidation steps: OH + CO → H + CO2 OH + CH4 → CH3 + H 2O H + O2 → HO2 CH3 + O2 → CH 3O2 Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 192. Methan-Oxidation CH3O + O2 →HCHO + HO2 HCHO + hν (λ ≤ 330nm) → H + HCO HCO + O2 → CO + HO2 H + O2 + H + O2 + M → HO2 + M HO2 + M M → 3[ ] NO2 + hν (λ ≤ 410nm) → NO + O 4[ ] O + O2 + M → O3 + M 3[ ] CH4 + 8O2 + 5hν → CO + 4O3 + 2OH + H 2O Net: Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 193. CO-Oxidation CO + OH → H + CO2 HO2 + M H + O2 + M → NO2 + h ν ( λ ≤ 410nm) → NO + O O + O2 + M → O3 + M CO + 2O2 + hν Net: → CO2 + O3 Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 194. Ozon-Production in Troposphere NO2 + h ν → O + NO O + O2 + M → O3 + M high NOx – production of O3: OH + CO H + O2 + M HO2 + NO → H + CO2 → HO2 + M OH + NO2 → CO + 2O2 + hν → CO2 + O3 Netto: Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 195. Ozon-Destruktion in der Troposphäre OH + CO → H + CO2 low NOx – destruction of O3: H + O2 + M →HO2 + M HO2 + O3 → OH + 2O2 CO + O3 → CO2 + O2 Netto: Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 196. Methan-Oxidation Production of peroxy radicals: H + O2 + M → HO2 + M CH3 + O2 + M → CH3O2 + M low NOx – production of acids: HO2 + HO2 → H2O2 + O2 CH3O2 + HO2 → CH3OOH + O2 high NOx – production of NO2: HO2 +NO → OH + NO2 Regeneration of OH: CH3O2 + NO → CH3O + NO2 Or production of Methoxy-Radical: Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 197. CO, CO2, und CH4 Messungen von SCIAMACHY Buchwitz et al., de Beek et al., ACPD, 2005, ACPD 2006 Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 198. CH4 Messungen von SCIAMACHY Difference SCIAMACHY – TM3 8 – 11.2003 Frankenberg, C.,et al., Assessing methane emissions from global space-borne observations. Science, 308 (2005), 1010-1014. © C. Frankenberg et al., Univ. of Heidelberg Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 199. GOME satellite data • NO2 reduc trieval + CTM-stratospheric correction • strong incr and localAMF based on • consistent OART-2 run changes eening GOME annual changes in tropospheric NO2 • • • 7 years of DOAS re seasonal 1997 M cloud scr tions in Europe and parts of the US ease over China with significant NOx emission • A. Richter et al., Increase in tropospheric nitrogen dioxide over China observed from space, Nature, 437 2005 Environmental Chemistry, A. Ladstätter-Weißenmayer 1996 - 2002
  • 200. pollution biomass burning Courtesy of Andreas Richter Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 201. HCHO Messungen von GOME Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 202. Troposphärische O3 Messungen von GOME Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 203. Environmental Chemistry, A. Ladstätter-Weißenmayer SCIAMACHY SO2:Pollution
  • 204. Anorganic Chemistry − − HSO3 + → HSO4 + H 2O − H2O2 − HSO3 + O3 → HSO4 + O2 − H + H SO ↔ + HSO 2 4 4 − 2− + ↔ ↔ + SO4 HSO4 H − H + + HNO NO 3 3 Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 205. Photochemistry – Organic Chemistry H2O2 + hν (λ ≤ 380nm) → 2OH RCHO( aq) + OH → RC(O)OH(aq ) H + + RC(O)O − RC(O)OH ↔ Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 206. Air pollution compounds caused by antropogenic activities · · concentrations high above normal · → human influence, animals, veetation and material · mainly: in urban and industrialised regions · 1. Typ: (SO2 and Sulfate), particles from combustion cold regions: heating – Emissions · · 2. Gas and Brazil) Benzene (Los Angeles, T okyo, Athens, Mexico City, Sao Paulo, Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 207. Air pollution 1952: London view less than some m for 1 week Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 208. Air pollution · Smog (photochemical Smog) Smog: NOx, organic compounds, O3 (nitrats, oxidised HC, photochemical aerosols) · O3 normal: 20-60 ppb O3 urban: 500 ppb Natural and anthropogenic processes (started mainly with OH) · · · High reactivity → Oxidation and chemische reaction · Free Radicals CO2 and H2O gases like NOx - chain reactions: Oxidation of H2, CH4, other HC, CO to other and sulfur compouds modify the „way of combustion process“ Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 209. Air pollution surface as source of compounds · NOx and CO produced in sand storm surface emission: natural and anthropogenic sources · · High concentration in urban and industrial regions (NH) · Stratospheric O3 limits sun radiation at surface → wavelenght > 280 nm Photochemical labill > 280 nm: O3, NO2, HCHO · · All 3 gases (O3, NO2, HCHO) oxidation chain → OH (oder HO2 production) → start of Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 210. Air pollution · 10% of total O3 in troposphere natural atmosphere: all reactions start with O3 Source of O3 is important O3 formation in low altitude (dependent of hydrocarbons and NOx) O3 Transport (Stratospheric – Tropospheric - Exchange) · · · · Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 211. Air pollution · OH influence during day (stratosphere and troposphere) · NO3 influence during night NO3 less reactiv than OH diurnal variation different (OH and NO3) OH photolysed (during day) · · · · NO3 photolysed during day (present during night) · 90% of total atmospheric mass combustion processes) stays in troposphere (main part of gases of Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 212. Greenhouse gases IPCC 2007 Environmental Chemistry, A. Ladstätter-Weißenmayer • 1750-2005: increase of CO2~ 35% • increase of CO2 the last 10 years > than the last 50 years • today: Maximum in the last 650.000 Jahren ¾ 78% of increase (Å use of fossil fuel) ¾ 22% of increase (Å land use)
  • 213. Greenhouse gases IPCC 2007 • since 1750: CH4- ~ 18 % and N2O- increase ~148% respectively Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 214. Greenhouse gases Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 215. Greenhouse gases • GHG: H2O, H2, CO2, O3, N2O, CH4. important for climate change caused by physical and chemical features • • GHG are gases in an atmosphere that absorb and emit radiation within the thermal infrared range. This process is the fundamental cause of the greenhouse effekt • GHG warm the atmosphere by efficiently absorbing thermal infrared radiation emitted by the Earth‘s surface, by the atmosphere itself, and by clouds. As a result of its warmth, the atmosphere also radiates thermal infrared in all directions, including downward to the Earth’s surface. surface-troposphere Thus, greenhouse gases trap heat within the system. Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 216. Greenhouse gases • in addition anthropogenic synthetic gases (halogen compounds) are emitted → climte change • the measured value: „Global Warming Potential“ (efficiency of a gas over 100 years is observed, fficiency of CH4 is 21 time higher than CO2) • if the concentration of emitted gases is known Potential can be calculated → Global Warming • More GHG more climate change Environmental Chemistry, A. Ladstätter-Weißenmayer
  • 217. Tropospheric Chemistry Environmental Chemistry, A. Ladstätter-Weißenmayer