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BALANCEO DE
REACCIONES
Rubén Cueva García
FÍSICA QUÍMICA BIOLOGÍA
Na2Cr2O7 + HBr → NaBr + CrBr3 + Br2 + H2O
a Na2Cr2O7 + b HBr → c NaBr + d CrBr3 + e Br2 + f H2O
a Na2Cr2O7 + b HBr → c NaBr + d CrBr3 + e Br2 + f H2O
a= 1
1 Na2Cr2O7 + b HBr → 2 NaBr + d CrBr3 + e Br2 + f H2O
a= 1
1 Na2Cr2O7 + b HBr → 2 NaBr + 2 CrBr3 + e Br2 + f H2O
a= 1
1 Na2Cr2O7 + b HBr → 2 NaBr + 2 CrBr3 + e Br2 + 7 H2O
a= 1
1 Na2Cr2O7 + 14 HBr → 2 NaBr + 2 CrBr3 + e Br2 + 7 H2O
a= 1
1 Na2Cr2O7 + 14 HBr → 2 NaBr + 2 CrBr3 + e Br2 + 7 H2O
a= 1
1 Na2Cr2O7 + 14 HBr → 2 NaBr + 2 CrBr3 + e Br2 + 7 H2O
2 + 6 + 6
1 Na2Cr2O7 + 14 HBr → 2 NaBr + 2 CrBr3 + 3 Br2 + 7 H2O
2 + 6 + 6
1 Na2Cr2O7 + 14 HBr → 2 NaBr + 2 CrBr3 + 3 Br2 + 7 H2O
KMnO4 + HCl → KCl + MnCl2 + Cl2 + H2O
a KMnO4 + b HCl → c KCl + d MnCl2 + e Cl2 + f H2O
a KMnO4 + b HCl → c KCl + d MnCl2 + e Cl2 + f H2O
a= 1
1 KMnO4 + b HCl → 1 KCl + d MnCl2 + e Cl2 + f H2O
a= 1
1 KMnO4 + b HCl → 1 KCl + 1 MnCl2 + e Cl2 + f H2O
a= 1
1 KMnO4 + b HCl → 1 KCl + 1 MnCl2 + e Cl2 + 4 H2O
a= 1
1 KMnO4 + b HCl → 1 KCl + 1 MnCl2 + e Cl2 + 4 H2O
a= 1
1 KMnO4 + 8 HCl → 1 KCl + 1 MnCl2 + e Cl2 + 4 H2O
a= 1
1 KMnO4 + 8 HCl → 1 KCl + 1 MnCl2 + e Cl2 + 4 H2O
a= 1
1 KMnO4 + 8 HCl → 1 KCl + 1 MnCl2 + e Cl2 + 4 H2O
1 + 2 + 5
1 KMnO4 + 8 HCl → 1 KCl + 1 MnCl2 + 5/2 Cl2 + 4 H2O
1 + 2 + 5
1 KMnO4 + 8 HCl → 1 KCl + 1 MnCl2 + 5/2 Cl2 + 4 H2O
2 KMnO4 + 16 HCl → 2 KCl + 2 MnCl2 + 5 Cl2 + 8 H2O
a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O
a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O
K: a = 2f
a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O
K: a = 2f
Mn: a = e
O: 4 a + 4 b + 4 c = 12 d + 4 e + 4f + g
a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O
K: a = 2f
Mn: a = e
O: 4 a + 4 b + 4 c = 12 d + 4 e + 4f + g
H: 2 b = 2 g
S: b + c = 3 d + e + f
a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O
K: a = 2f
Mn: a = e
O: 4 a + 4 b + 4 c = 12 d + 4 e + 4f + g
H: 2 b = 2 g
S: b + c = 3 d + e + f
a= 1
a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O
K: a = 2f
Mn: a = e
O: 4 a + 4 b + 4 c = 12 d + 4 e + 4f + g
H: 2 b = 2 g
S: b + c = 3 d + e + f
a= 1
f = 1/2
e = 1
a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O
K: a = 2f
Mn: a = e
O: 4 a + 4 b + 4 c = 12 d + 4 e + 4f + g
H: 2 b = 2 g
S: b + c = 3 d + e + f
a= 1
f = 1/2
e = 1
b + c = 3 d + 1 + 1/2
Fe: c = 2 d
a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O
K: a = 2f
Mn: a = e
O: 4 a + 4 b + 4 c = 12 d + 4 e + 4f + g
H: 2 b = 2 g
S: b + c = 3 d + e + f
a= 1
f = 1/2
e = 1
b + 2d = 3 d + 1 + 1/2
Fe: c = 2 d
a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O
K: a = 2f
Mn: a = e
O: 4 a + 4 b + 4 c = 12 d + 4 e + 4f + g
H: 2 b = 2 g
S: b + c = 3 d + e + f
a= 1
f = 1/2
e = 1
b = d + 3/2
Fe: c = 2 d
b + 2d = 3 d + 1 + 1/2
a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O
K: a = 2f
Mn: a = e
O: 4 a + 4 b + 4 c = 12 d + 4 e + 4f + g
H: 2 b = 2 g
S: b + c = 3 d + e + f
a= 1
f = 1/2
e = 1
b = d + 3/2
Fe: c = 2 d
4(1) + 4b + 4c = 12 d + 4(1) + 4 (1/2) + g
4b + 4c = 12d + 2 + g
a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O
K: a = 2f
Mn: a = e
O: 4 a + 4 b + 4 c = 12 d + 4 e + 4f + g
H: 2 b = 2 g
S: b + c = 3 d + e + f
a= 1
f = 1/2
e = 1
b = d + 3/2
Fe: c = 2 d
4b + 4c = 12d + 2 + g
4b + 4 (2 d) = 12 d + 2 + b
3 b = 4 d + 2
a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O
K: a = 2f
Mn: a = e
O: 4 a + 4 b + 4 c = 12 d + 4 e + 4f + g
H: 2 b = 2 g
S: b + c = 3 d + e + f
a= 1
f = 1/2
e = 1
b = d + 3/2
Fe: c = 2 d
3 b = 4 d + 2
3 (d + 3/2) = 4 d + 2
5/2 = d
b = 4
3 b = 4 (5/2) + 2
a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O
K: a = 2f
Mn: a = e
O: 4 a + 4 b + 4 c = 12 d + 4 e + 4f + g
H: 2 b = 2 g
S: b + c = 3 d + e + f
a= 1
f = 1/2
e = 1
Fe: c = 2 d
5/2 = d
b = 4
c = 5
g = 4
a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O
K: a = 2f
Mn: a = e
O: 4 a + 4 b + 4 c = 12 d + 4 e + 4f + g
H: 2 b = 2 g
S: b + c = 3 d + e + f
a= 1
f = 1/2
e = 1
Fe: c = 2 d
5/2 = d b = 4
c = 5 g = 4
a = 2 ; b = 8 ; c = 10 ; d = 5 ; e = 2 ; f = 1; g = 8
Todos x 2
Método redox
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
-2 -2 -2 -2 -2 -2 -2
Oxígeno O : -2
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
-2 +1 -2 -2 -2 -2 -2 +1 -2
Hidrógeno H: +1
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
-2 +1 -2 -2 -2 -2 -2 +1 -2
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
+1 -2 +1 -2 -2 -2 -2 +1 -2 +1 -2
Metales
Li Na K Ag +1
Be Mg Ca Sr Ba Ra Zn +2
Al +3
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
+1 -2 +1 -2 -2 -2 -2 +1 -2 +1 -2
+1 -8 +2 -8 -8 +6 -24 -8 +2 -8 +2 -2
Total de cargas = 0
Electroneutralidad
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
+1 -2 +1 -2 -2 +3 -2 +2 -2 +1 -2 +1 -2
+1 -8 +2 -8 -8 +6 -24 +2 -8 +2 -8 +2 -2
Hierro Fe 2 3
Manganeso (metal) 2 3
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
+1 7 -2 +1 6 -2 2 6 -2 +3 6 -2 +2 6 -2 +1 6 -2 +1 -2
+1 7 -8 +2 6 -8 2 6 -8 +6 18-24 +2 6 -8 +2 6-8 +2 -2
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
+1 7 -2 +1 6 -2 2 6 -2 +3 6 -2 +2 6 -2 +1 6 -2 +1 -2
+1 7 -8 +2 6 -8 2 6 -8 +6 18-24 +2 6 -8 +2 6-8 +2 -2
Mn +7 Mn +2
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
+1 7 -2 +1 6 -2 2 6 -2 +3 6 -2 +2 6 -2 +1 6 -2 +1 -2
+1 7 -8 +2 6 -8 2 6 -8 +6 18-24 +2 6 -8 +2 6-8 +2 -2
Mn +7 Mn +2
Fe+2 Fe +3
2
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
+1 7 -2 +1 6 -2 2 6 -2 +3 6 -2 +2 6 -2 +1 6 -2 +1 -2
+1 7 -8 +2 6 -8 2 6 -8 +6 18-24 +2 6 -8 +2 6-8 +2 -2
Mn +7 +5 e- Mn +2
2 Fe+2 -2 e- Fe +3
2
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
+1 7 -2 +1 6 -2 2 6 -2 +3 6 -2 +2 6 -2 +1 6 -2 +1 -2
+1 7 -8 +2 6 -8 2 6 -8 +6 18-24 +2 6 -8 +2 6-8 +2 -2
Mn +7 +5 e- Mn +2
2 Fe+2 -2 e- Fe +3
2
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
+1 7 -2 +1 6 -2 2 6 -2 +3 6 -2 +2 6 -2 +1 6 -2 +1 -2
+1 7 -8 +2 6 -8 2 6 -8 +6 18-24 +2 6 -8 +2 6-8 +2 -2
Mn +7 +5 e- Mn +2
2 Fe+2 -2 e- Fe +3
2
x 2
x 5
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
2 Mn +7 +10 e- 2 Mn +2
10 Fe+2 - 10 e- 5 Fe +3
2
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
2 Mn +7 + 10 Fe +2 5 Fe+3
2 + 2 Mn +2
2 KMnO4 + _H2SO4 + 10FeSO4 → 5 Fe2(SO4)3 + 2 MnSO4 + _K2SO4 + _H2O
2 KMnO4 + _H2SO4 + 10FeSO4 → 5 Fe2(SO4)3 + 2 MnSO4 + 1K2SO4 + _H2O
2 KMnO4 + _H2SO4 + 10FeSO4 → 5 Fe2(SO4)3 + 2 MnSO4 + _K2SO4 + _H2O
2 KMnO4 + _H2SO4 + 10FeSO4 → 5 Fe2(SO4)3 + 2 MnSO4 + 1K2SO4 + _H2O
2 KMnO4 + 8H2SO4 + 10FeSO4 → 5 Fe2(SO4)3 + 2 MnSO4 + K2SO4 + _H2O
2 KMnO4 + _H2SO4 + 10FeSO4 → 5 Fe2(SO4)3 + 2 MnSO4 + _K2SO4 + _H2O
2 KMnO4 + _H2SO4 + 10FeSO4 → 5 Fe2(SO4)3 + 2 MnSO4 + 1K2SO4 + _H2O
2 KMnO4 + 8H2SO4 + 10FeSO4 → 5 Fe2(SO4)3 + 2 MnSO4 + K2SO4 + _H2O
2 KMnO4 + 8H2SO4 + 10FeSO4 → 5 Fe2(SO4)3 + 2 MnSO4 + K2SO4 + 8 H2O
Redox ion-electrón
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
(K+) (MnO4
-) 2(H+) (SO4
-2) (Fe+2)(SO4
-2) (Fe+3)2 Mn+2 K+1
2 H2O
3 (SO4
-2) (SO4
-2) (SO4
-2)
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
(K+) (MnO4
-) 2(H+) (SO4
-2) (Fe+2)(SO4
-2) (Fe+3)2 Mn+2 K+1
2 H2O
3 (SO4
-2) (SO4
-2) (SO4
-2)
(MnO4
-) Mn+2
Fe +2 (Fe+3)2
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
(K+) (MnO4
-) 2(H+) (SO4
-2) (Fe+2)(SO4
-2) (Fe+3)2 Mn+2 K+1
2 H2O
3 (SO4
-2) (SO4
-2) (SO4
-2)
(MnO4
-) Mn+2
2 Fe +2 (Fe+3)2
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
(K+) (MnO4
-) 2(H+) (SO4
-2) (Fe+2)(SO4
-2) (Fe+3)2 Mn+2 K+1
2 H2O
3 (SO4
-2) (SO4
-2) (SO4
-2)
(MnO4
-) Mn+2 + 4 _ O
2 Fe +2 (Fe+3)2
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
(K+) (MnO4
-) 2(H+) (SO4
-2) (Fe+2)(SO4
-2) (Fe+3)2 Mn+2 K+1
2 H2O
3 (SO4
-2) (SO4
-2) (SO4
-2)
(MnO4
-) Mn+2 + 4 H2 O
2 Fe +2 (Fe+3)2
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
(K+) (MnO4
-) 2(H+) (SO4
-2) (Fe+2)(SO4
-2) (Fe+3)2 Mn+2 K+1
2 H2O
3 (SO4
-2) (SO4
-2) (SO4
-2)
(MnO4
-) + 8 H+ Mn+2 + 4 H2 O
2 Fe +2 (Fe+3)2
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
(MnO4
-) + 8 H+ Mn+2 + 4 H2 O
2 Fe +2 - 2 e- (Fe+3)2
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
(MnO4
-) + 8 H+ + 5 e - Mn+2 + 4 H2 O
2 Fe +2 - 2 e- (Fe+3)2
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
(MnO4
-) + 8 H+ + 5 e - Mn+2 + 4 H2 O
2 Fe +2 - 2 e- (Fe+3)2
x 2
x 5
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
2(MnO4
-) + 16 H+ + 10 e - 2 Mn+2 + 8 H2 O
10 Fe +2 - 10 e- 5 (Fe+3)2
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
2(MnO4
-) + 16 H+ + 10 e - 2 Mn+2 + 8 H2 O
10 Fe +2 - 10 e- 5 (Fe+3)2
2 KMnO4 + 8H2SO4 + 10FeSO4 → 5Fe2(SO4)3 + 2MnSO4 + K2SO4 + 8H2O
KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
2 KMnO4 + 8H2SO4 + 10FeSO4 → 5Fe2(SO4)3 + 2MnSO4 + K2SO4 + 8H2O
a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O
a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O
Na: 2 a + c = 2 f
Cr: 2 a = 2 d
a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O
Na: 2 a + c = 2 f
Cr: 2 a = 2 d
O: 7 a + 4 b = 12 d + 4f + g
H: 2 b = 2 g
a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O
Na: 2 a + c = 2 f
Cr: 2 a = 2 d
O: 7 a + 4 b = 12 d + 4f + g
H: 2 b = 2 g
S: b = 3 d + f
Br: c = 2 e
a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O
Na: 2 a + c = 2 f
Cr: 2 a = 2 d
O: 7 a + 4 b = 12 d + 4f + g
H: 2 b = 2 g
S: b = 3 d + f
Br: c = 2 e
a= 1
a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O
Na: 2 a + c = 2 f
Cr: 2 a = 2 e
O: 7 a + 4 b = 12 d + 4f + g
H: 2 b = 2 g
S: b = 3 d + f
Br: c = 2 e
a= 1
d = 1
a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O
Na: 2 a + c = 2 f
Cr: 2 a = 2 d
O: 7 a + 4 b = 12 d + 4f + g
H: 2 b = 2 g
S: b = 3 d + f
Br: c = 2 e
a= 1
d = 1
b = 3(1) + f
2 + c = 2 f
a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O
Na: 2 a + c = 2 f
Cr: 2 a = 2 d
O: 7 a + 4 b = 12 d + 4f + g
H: 2 b = 2 g
S: b = 3 d + f
Br: c = 2 e
a= 1
d = 1 b = 3 + f
2 + c = 2 f
a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O
Na: 2 a + c = 2 f
Cr: 2 a = 2 d
O: 7 a + 4 b = 12 d + 4f + g
H: 2 b = 2 g
S: b = 3 d + f
Br: c = 2 e
a= 1
d = 1 b = 3 + f
2 + c = 2 f
7 a + 4 b = 12 d + 4f + g
7 (1) + 4 b = 12 (1) + 4f + g
a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O
Na: 2 a + c = 2 f
Cr: 2 a = 2 d
O: 7 a + 4 b = 12 d + 4 f + g
H: 2 b = 2 g
S: b = 3 d + f
Br: c = 2 e
a= 1
d = 1 b = 3 + f
2 + c = 2 f
7 a + 4 b = 12 d + 4 f + g
4 (3 + f) = 5 + 4 f + b
4 (3 + f) = 5 + 4 f + (3 + f)
a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O
Na: 2 a + c = 2 f
Cr: 2 a = 2 d
O: 7 a + 4 b = 12 d + 4 f + g
H: 2 b = 2 g
S: b = 3 d + f
Br: c = 2 e
a= 1
d = 1 b = 3 + f
2 + c = 2 f
4 (3 + f) = 5 + 4 f + (3 + f)
12 + 4 f = 8 + 5 f
12 – 8 = 5 f – 4 f
4 = f
a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O
Na: 2 a + c = 2 f
Cr: 2 a = 2 d
O: 7 a + 4 b = 12 d + 4 f + g
H: 2 b = 2 g
S: b = 3 d + f
Br: c = 2 e
a= 1
d = 1 b = 3 + f
2 + c = 2 f
4 (3 + f) = 5 + 4 f + (3 + f)
12 – 8 = 5 f – 4 f
4 = f b = 7 = g
a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O
Na: 2 a + c = 2 f
Cr: 2 a = 2 d
O: 7 a + 4 b = 12 d + 4 f + g
H: 2 b = 2 g
S: b = 3 d + f
Br: c = 2 e
a= 1
d = 1 b = 3 + f
2 + c = 2 f
4 = f
b = 7 = g
2 + c = 2 f
c = 6
2 + c = 2 (4)
e = 3
a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O
Na: 2 a + c = 2 f
Cr: 2 a = 2 d
O: 7 a + 4 b = 12 d + 4 f + g
H: 2 b = 2 g
S: b = 3 d + f
Br: c = 2 e
a= 1
d = 1
f = 4
g = 7
b = 7
c = 6
e = 3
Método redox
Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O
Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O
Oxígeno O : -2
-2 -2 -2 -2 -2
Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O
-2 +1 -2 -2 -2 +1 -2
Hidrógeno H: +1
Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O
-2 +1 -2 -2 -2 +1 -2
Metales
Li Na K Ag +1
Be Mg Ca Sr Ba Ra Zn +2
Al +3
Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O
+1 -2 +1 -2 +1 -2 +1 -2 +1 -2
Metales
Li Na K Ag +1
Be Mg Ca Sr Ba Ra Zn +2
Al +3
Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O
+1 -2 +1 -2 +1 -2 +1 -2 +1 -2
Total de cargas = 0
Electroneutralidad
+2 -14 +2 -8 +1 +6 -24 0 +2 -8 +2 -2
Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O
+1 -2 +1 -2 +1 -2 +1 -2 +1 -2
+2 12 -14 +2 6 -8 +1 -1 +6 18 -24 0 +2 6 -8 +2 -2
Cromo 2 3 6
Azufre 2 4 6
Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O
+1 6 -2 +1 6 -2 +1 -1 3 6 -2 0 +1 6 -2 +1 -2
+2 12 -14 +2 6 -8 +1 -1 +6 18 -24 0 +2 6 -8 +2 -2
Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O
+1 6 -2 +1 6 -2 +1 -1 3 6 -2 0 +1 6 -2 +1 -2
+2 12 -14 +2 6 -8 +1 -1 +6 18 -24 0 +2 6 -8 +2 -2
Cr2
+6 Cr2
+3
Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O
+1 6 -2 +1 6 -2 +1 -1 3 6 -2 0 +1 6 -2 +1 -2
+2 12 -14 +2 6 -8 +1 -1 +6 18 -24 0 +2 6 -8 +2 -2
Cr2
+6 Cr2
+3
Br-1 Br2
0
a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O
+1 6 -2 +1 6 -2 +1 -1 3 6 -2 0 +1 6 -2 +1 -2
+2 12 -14 +2 6 -8 +1 -1 +6 18 -24 0 +2 6 -8 +2 -2
Cr2
+6 + 6 e- Cr2
+3
2 Br-1 – 2 e- Br2
0
a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O
+1 6 -2 +1 6 -2 +1 -1 3 6 -2 0 +1 6 -2 +1 -2
Cr2
+6 + 6 e- Cr2
+3
2 Br-1 – 2 e- Br2
0
x 3
a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O
+1 6 -2 +1 6 -2 +1 -1 3 6 -2 0 +1 6 -2 +1 -2
Cr2
+6 + 6 e- Cr2
+3
2 Br-1 – 2 e- Br2
0
x 3
x 1
a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O
1 Cr2
+6 + 6 e- 1 Cr2
+3
6 Br-1 – 6 e- 3 Br2
0
a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O
1 Cr2
+6 + 6 Br-1 1 Cr2
+3
+ 3 Br2
0
1 Na2Cr2O7 + _ H2SO4 + 6 NaBr → 1 Cr2(SO4)3 + 3 Br2 + _ Na2SO4 + _H2O
1 Cr2
+6 + 6 Br-1 1 Cr2
+3
+ 3 Br2
0
1 Na2Cr2O7 + _ H2SO4 + 6 NaBr → 1 Cr2(SO4)3 + 3 Br2 + _ Na2SO4 + _H2O
1 Na2Cr2O7 + _ H2SO4 + 6 NaBr → 1 Cr2(SO4)3 + 3 Br2 + 4 Na2SO4 + _H2O
1 Na2Cr2O7 + _ H2SO4 + 6 NaBr → 1 Cr2(SO4)3 + 3 Br2 + _ Na2SO4 + _H2O
1 Na2Cr2O7 + _ H2SO4 + 6 NaBr → 1 Cr2(SO4)3 + 3 Br2 + 4 Na2SO4 + _H2O
1 Na2Cr2O7 + 7 H2SO4 + 6 NaBr → 1 Cr2(SO4)3 + 3 Br2 + 4 Na2SO4 + _H2O
1 Na2Cr2O7 + _ H2SO4 + 6 NaBr → 1 Cr2(SO4)3 + 3 Br2 + _ Na2SO4 + _H2O
1 Na2Cr2O7 + _ H2SO4 + 6 NaBr → 1 Cr2(SO4)3 + 3 Br2 + 4 Na2SO4 + _H2O
1 Na2Cr2O7 + 7 H2SO4 + 6 NaBr → 1 Cr2(SO4)3 + 3 Br2 + 4 Na2SO4 + _H2O
1 Na2Cr2O7 + 7 H2SO4 + 6 NaBr → 1 Cr2(SO4)3 + 3 Br2 + 4 Na2SO4 + 7H2O
Redox ion-electrón
Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O
Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O
2(Na+) (Cr2O7
-2) 2(H+) (SO4
-2) (Na+1)(Br-1)
2(Cr+3) Br0
2 2 Na+1 H2O
3 (SO4
-2) (SO4
-2)
Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O
Br -1 Br2
0
(Cr2O7) -2 Cr2
+3
(Cr2O7) = Cr2
+3 + 7 H2 O
2 Br – 1 - 2 e- Br2
0
(Cr2O7) = + 14 H+1 Cr2
+3 + 7 H2 O
2 Br – 1 Br2
0
(Cr2O7) = + 14 H+1 + 6 e - Cr2
+3 + 7 H2 O
2 Br – 1 - 2 e- Br2
0
x 1
x 3
1 Na2Cr2O7 + 7 H2SO4 + 6 NaBr → 1 Cr2(SO4)3 + 3 Br2 + _ Na2SO4 + 7H2O
1 Na2Cr2O7 + 7 H2SO4 + 6 NaBr → 1 Cr2(SO4)3 + 3 Br2 + 4 Na2SO4 + 7H2O
REFORZAMIENTO I balanceo  redox  pre.pptx

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REFORZAMIENTO I balanceo redox pre.pptx

  • 1. BALANCEO DE REACCIONES Rubén Cueva García FÍSICA QUÍMICA BIOLOGÍA
  • 2. Na2Cr2O7 + HBr → NaBr + CrBr3 + Br2 + H2O
  • 3. a Na2Cr2O7 + b HBr → c NaBr + d CrBr3 + e Br2 + f H2O
  • 4. a Na2Cr2O7 + b HBr → c NaBr + d CrBr3 + e Br2 + f H2O a= 1
  • 5. 1 Na2Cr2O7 + b HBr → 2 NaBr + d CrBr3 + e Br2 + f H2O a= 1
  • 6. 1 Na2Cr2O7 + b HBr → 2 NaBr + 2 CrBr3 + e Br2 + f H2O a= 1
  • 7. 1 Na2Cr2O7 + b HBr → 2 NaBr + 2 CrBr3 + e Br2 + 7 H2O a= 1
  • 8. 1 Na2Cr2O7 + 14 HBr → 2 NaBr + 2 CrBr3 + e Br2 + 7 H2O a= 1
  • 9. 1 Na2Cr2O7 + 14 HBr → 2 NaBr + 2 CrBr3 + e Br2 + 7 H2O a= 1
  • 10. 1 Na2Cr2O7 + 14 HBr → 2 NaBr + 2 CrBr3 + e Br2 + 7 H2O 2 + 6 + 6
  • 11. 1 Na2Cr2O7 + 14 HBr → 2 NaBr + 2 CrBr3 + 3 Br2 + 7 H2O 2 + 6 + 6
  • 12. 1 Na2Cr2O7 + 14 HBr → 2 NaBr + 2 CrBr3 + 3 Br2 + 7 H2O
  • 13. KMnO4 + HCl → KCl + MnCl2 + Cl2 + H2O
  • 14. a KMnO4 + b HCl → c KCl + d MnCl2 + e Cl2 + f H2O
  • 15. a KMnO4 + b HCl → c KCl + d MnCl2 + e Cl2 + f H2O a= 1
  • 16. 1 KMnO4 + b HCl → 1 KCl + d MnCl2 + e Cl2 + f H2O a= 1
  • 17. 1 KMnO4 + b HCl → 1 KCl + 1 MnCl2 + e Cl2 + f H2O a= 1
  • 18. 1 KMnO4 + b HCl → 1 KCl + 1 MnCl2 + e Cl2 + 4 H2O a= 1
  • 19. 1 KMnO4 + b HCl → 1 KCl + 1 MnCl2 + e Cl2 + 4 H2O a= 1
  • 20. 1 KMnO4 + 8 HCl → 1 KCl + 1 MnCl2 + e Cl2 + 4 H2O a= 1
  • 21. 1 KMnO4 + 8 HCl → 1 KCl + 1 MnCl2 + e Cl2 + 4 H2O a= 1
  • 22. 1 KMnO4 + 8 HCl → 1 KCl + 1 MnCl2 + e Cl2 + 4 H2O 1 + 2 + 5
  • 23. 1 KMnO4 + 8 HCl → 1 KCl + 1 MnCl2 + 5/2 Cl2 + 4 H2O 1 + 2 + 5
  • 24. 1 KMnO4 + 8 HCl → 1 KCl + 1 MnCl2 + 5/2 Cl2 + 4 H2O 2 KMnO4 + 16 HCl → 2 KCl + 2 MnCl2 + 5 Cl2 + 8 H2O
  • 25.
  • 26. a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O
  • 27. a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O K: a = 2f
  • 28. a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O K: a = 2f Mn: a = e O: 4 a + 4 b + 4 c = 12 d + 4 e + 4f + g
  • 29. a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O K: a = 2f Mn: a = e O: 4 a + 4 b + 4 c = 12 d + 4 e + 4f + g H: 2 b = 2 g S: b + c = 3 d + e + f
  • 30. a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O K: a = 2f Mn: a = e O: 4 a + 4 b + 4 c = 12 d + 4 e + 4f + g H: 2 b = 2 g S: b + c = 3 d + e + f a= 1
  • 31. a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O K: a = 2f Mn: a = e O: 4 a + 4 b + 4 c = 12 d + 4 e + 4f + g H: 2 b = 2 g S: b + c = 3 d + e + f a= 1 f = 1/2 e = 1
  • 32. a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O K: a = 2f Mn: a = e O: 4 a + 4 b + 4 c = 12 d + 4 e + 4f + g H: 2 b = 2 g S: b + c = 3 d + e + f a= 1 f = 1/2 e = 1 b + c = 3 d + 1 + 1/2 Fe: c = 2 d
  • 33. a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O K: a = 2f Mn: a = e O: 4 a + 4 b + 4 c = 12 d + 4 e + 4f + g H: 2 b = 2 g S: b + c = 3 d + e + f a= 1 f = 1/2 e = 1 b + 2d = 3 d + 1 + 1/2 Fe: c = 2 d
  • 34. a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O K: a = 2f Mn: a = e O: 4 a + 4 b + 4 c = 12 d + 4 e + 4f + g H: 2 b = 2 g S: b + c = 3 d + e + f a= 1 f = 1/2 e = 1 b = d + 3/2 Fe: c = 2 d b + 2d = 3 d + 1 + 1/2
  • 35. a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O K: a = 2f Mn: a = e O: 4 a + 4 b + 4 c = 12 d + 4 e + 4f + g H: 2 b = 2 g S: b + c = 3 d + e + f a= 1 f = 1/2 e = 1 b = d + 3/2 Fe: c = 2 d 4(1) + 4b + 4c = 12 d + 4(1) + 4 (1/2) + g 4b + 4c = 12d + 2 + g
  • 36. a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O K: a = 2f Mn: a = e O: 4 a + 4 b + 4 c = 12 d + 4 e + 4f + g H: 2 b = 2 g S: b + c = 3 d + e + f a= 1 f = 1/2 e = 1 b = d + 3/2 Fe: c = 2 d 4b + 4c = 12d + 2 + g 4b + 4 (2 d) = 12 d + 2 + b 3 b = 4 d + 2
  • 37. a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O K: a = 2f Mn: a = e O: 4 a + 4 b + 4 c = 12 d + 4 e + 4f + g H: 2 b = 2 g S: b + c = 3 d + e + f a= 1 f = 1/2 e = 1 b = d + 3/2 Fe: c = 2 d 3 b = 4 d + 2 3 (d + 3/2) = 4 d + 2 5/2 = d b = 4 3 b = 4 (5/2) + 2
  • 38. a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O K: a = 2f Mn: a = e O: 4 a + 4 b + 4 c = 12 d + 4 e + 4f + g H: 2 b = 2 g S: b + c = 3 d + e + f a= 1 f = 1/2 e = 1 Fe: c = 2 d 5/2 = d b = 4 c = 5 g = 4
  • 39. a KMnO4 + b H2SO4 + c FeSO4 → d Fe2(SO4)3 + e MnSO4 + f K2SO4 + gH2O K: a = 2f Mn: a = e O: 4 a + 4 b + 4 c = 12 d + 4 e + 4f + g H: 2 b = 2 g S: b + c = 3 d + e + f a= 1 f = 1/2 e = 1 Fe: c = 2 d 5/2 = d b = 4 c = 5 g = 4 a = 2 ; b = 8 ; c = 10 ; d = 5 ; e = 2 ; f = 1; g = 8 Todos x 2
  • 40.
  • 42. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
  • 43. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O -2 -2 -2 -2 -2 -2 -2 Oxígeno O : -2
  • 44. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O -2 +1 -2 -2 -2 -2 -2 +1 -2 Hidrógeno H: +1
  • 45. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O -2 +1 -2 -2 -2 -2 -2 +1 -2
  • 46. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O +1 -2 +1 -2 -2 -2 -2 +1 -2 +1 -2 Metales Li Na K Ag +1 Be Mg Ca Sr Ba Ra Zn +2 Al +3
  • 47. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O +1 -2 +1 -2 -2 -2 -2 +1 -2 +1 -2 +1 -8 +2 -8 -8 +6 -24 -8 +2 -8 +2 -2 Total de cargas = 0 Electroneutralidad
  • 48. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O +1 -2 +1 -2 -2 +3 -2 +2 -2 +1 -2 +1 -2 +1 -8 +2 -8 -8 +6 -24 +2 -8 +2 -8 +2 -2 Hierro Fe 2 3 Manganeso (metal) 2 3
  • 49. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O +1 7 -2 +1 6 -2 2 6 -2 +3 6 -2 +2 6 -2 +1 6 -2 +1 -2 +1 7 -8 +2 6 -8 2 6 -8 +6 18-24 +2 6 -8 +2 6-8 +2 -2
  • 50. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O +1 7 -2 +1 6 -2 2 6 -2 +3 6 -2 +2 6 -2 +1 6 -2 +1 -2 +1 7 -8 +2 6 -8 2 6 -8 +6 18-24 +2 6 -8 +2 6-8 +2 -2 Mn +7 Mn +2
  • 51. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O +1 7 -2 +1 6 -2 2 6 -2 +3 6 -2 +2 6 -2 +1 6 -2 +1 -2 +1 7 -8 +2 6 -8 2 6 -8 +6 18-24 +2 6 -8 +2 6-8 +2 -2 Mn +7 Mn +2 Fe+2 Fe +3 2
  • 52. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O +1 7 -2 +1 6 -2 2 6 -2 +3 6 -2 +2 6 -2 +1 6 -2 +1 -2 +1 7 -8 +2 6 -8 2 6 -8 +6 18-24 +2 6 -8 +2 6-8 +2 -2 Mn +7 +5 e- Mn +2 2 Fe+2 -2 e- Fe +3 2
  • 53. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O +1 7 -2 +1 6 -2 2 6 -2 +3 6 -2 +2 6 -2 +1 6 -2 +1 -2 +1 7 -8 +2 6 -8 2 6 -8 +6 18-24 +2 6 -8 +2 6-8 +2 -2 Mn +7 +5 e- Mn +2 2 Fe+2 -2 e- Fe +3 2
  • 54. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O +1 7 -2 +1 6 -2 2 6 -2 +3 6 -2 +2 6 -2 +1 6 -2 +1 -2 +1 7 -8 +2 6 -8 2 6 -8 +6 18-24 +2 6 -8 +2 6-8 +2 -2 Mn +7 +5 e- Mn +2 2 Fe+2 -2 e- Fe +3 2 x 2 x 5
  • 55. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O 2 Mn +7 +10 e- 2 Mn +2 10 Fe+2 - 10 e- 5 Fe +3 2
  • 56. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O 2 Mn +7 + 10 Fe +2 5 Fe+3 2 + 2 Mn +2
  • 57. 2 KMnO4 + _H2SO4 + 10FeSO4 → 5 Fe2(SO4)3 + 2 MnSO4 + _K2SO4 + _H2O 2 KMnO4 + _H2SO4 + 10FeSO4 → 5 Fe2(SO4)3 + 2 MnSO4 + 1K2SO4 + _H2O
  • 58. 2 KMnO4 + _H2SO4 + 10FeSO4 → 5 Fe2(SO4)3 + 2 MnSO4 + _K2SO4 + _H2O 2 KMnO4 + _H2SO4 + 10FeSO4 → 5 Fe2(SO4)3 + 2 MnSO4 + 1K2SO4 + _H2O 2 KMnO4 + 8H2SO4 + 10FeSO4 → 5 Fe2(SO4)3 + 2 MnSO4 + K2SO4 + _H2O
  • 59. 2 KMnO4 + _H2SO4 + 10FeSO4 → 5 Fe2(SO4)3 + 2 MnSO4 + _K2SO4 + _H2O 2 KMnO4 + _H2SO4 + 10FeSO4 → 5 Fe2(SO4)3 + 2 MnSO4 + 1K2SO4 + _H2O 2 KMnO4 + 8H2SO4 + 10FeSO4 → 5 Fe2(SO4)3 + 2 MnSO4 + K2SO4 + _H2O 2 KMnO4 + 8H2SO4 + 10FeSO4 → 5 Fe2(SO4)3 + 2 MnSO4 + K2SO4 + 8 H2O
  • 61. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O
  • 62. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O (K+) (MnO4 -) 2(H+) (SO4 -2) (Fe+2)(SO4 -2) (Fe+3)2 Mn+2 K+1 2 H2O 3 (SO4 -2) (SO4 -2) (SO4 -2)
  • 63. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O (K+) (MnO4 -) 2(H+) (SO4 -2) (Fe+2)(SO4 -2) (Fe+3)2 Mn+2 K+1 2 H2O 3 (SO4 -2) (SO4 -2) (SO4 -2) (MnO4 -) Mn+2 Fe +2 (Fe+3)2
  • 64. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O (K+) (MnO4 -) 2(H+) (SO4 -2) (Fe+2)(SO4 -2) (Fe+3)2 Mn+2 K+1 2 H2O 3 (SO4 -2) (SO4 -2) (SO4 -2) (MnO4 -) Mn+2 2 Fe +2 (Fe+3)2
  • 65. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O (K+) (MnO4 -) 2(H+) (SO4 -2) (Fe+2)(SO4 -2) (Fe+3)2 Mn+2 K+1 2 H2O 3 (SO4 -2) (SO4 -2) (SO4 -2) (MnO4 -) Mn+2 + 4 _ O 2 Fe +2 (Fe+3)2
  • 66. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O (K+) (MnO4 -) 2(H+) (SO4 -2) (Fe+2)(SO4 -2) (Fe+3)2 Mn+2 K+1 2 H2O 3 (SO4 -2) (SO4 -2) (SO4 -2) (MnO4 -) Mn+2 + 4 H2 O 2 Fe +2 (Fe+3)2
  • 67. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O (K+) (MnO4 -) 2(H+) (SO4 -2) (Fe+2)(SO4 -2) (Fe+3)2 Mn+2 K+1 2 H2O 3 (SO4 -2) (SO4 -2) (SO4 -2) (MnO4 -) + 8 H+ Mn+2 + 4 H2 O 2 Fe +2 (Fe+3)2
  • 68. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O (MnO4 -) + 8 H+ Mn+2 + 4 H2 O 2 Fe +2 - 2 e- (Fe+3)2
  • 69. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O (MnO4 -) + 8 H+ + 5 e - Mn+2 + 4 H2 O 2 Fe +2 - 2 e- (Fe+3)2
  • 70. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O (MnO4 -) + 8 H+ + 5 e - Mn+2 + 4 H2 O 2 Fe +2 - 2 e- (Fe+3)2 x 2 x 5
  • 71. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O 2(MnO4 -) + 16 H+ + 10 e - 2 Mn+2 + 8 H2 O 10 Fe +2 - 10 e- 5 (Fe+3)2
  • 72. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O 2(MnO4 -) + 16 H+ + 10 e - 2 Mn+2 + 8 H2 O 10 Fe +2 - 10 e- 5 (Fe+3)2 2 KMnO4 + 8H2SO4 + 10FeSO4 → 5Fe2(SO4)3 + 2MnSO4 + K2SO4 + 8H2O
  • 73. KMnO4 + H2SO4 + FeSO4 → Fe2(SO4)3 + MnSO4 + K2SO4 + H2O 2 KMnO4 + 8H2SO4 + 10FeSO4 → 5Fe2(SO4)3 + 2MnSO4 + K2SO4 + 8H2O
  • 74.
  • 75. a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O
  • 76. a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O Na: 2 a + c = 2 f Cr: 2 a = 2 d
  • 77. a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O Na: 2 a + c = 2 f Cr: 2 a = 2 d O: 7 a + 4 b = 12 d + 4f + g H: 2 b = 2 g
  • 78. a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O Na: 2 a + c = 2 f Cr: 2 a = 2 d O: 7 a + 4 b = 12 d + 4f + g H: 2 b = 2 g S: b = 3 d + f Br: c = 2 e
  • 79. a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O Na: 2 a + c = 2 f Cr: 2 a = 2 d O: 7 a + 4 b = 12 d + 4f + g H: 2 b = 2 g S: b = 3 d + f Br: c = 2 e a= 1
  • 80. a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O Na: 2 a + c = 2 f Cr: 2 a = 2 e O: 7 a + 4 b = 12 d + 4f + g H: 2 b = 2 g S: b = 3 d + f Br: c = 2 e a= 1 d = 1
  • 81. a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O Na: 2 a + c = 2 f Cr: 2 a = 2 d O: 7 a + 4 b = 12 d + 4f + g H: 2 b = 2 g S: b = 3 d + f Br: c = 2 e a= 1 d = 1 b = 3(1) + f 2 + c = 2 f
  • 82. a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O Na: 2 a + c = 2 f Cr: 2 a = 2 d O: 7 a + 4 b = 12 d + 4f + g H: 2 b = 2 g S: b = 3 d + f Br: c = 2 e a= 1 d = 1 b = 3 + f 2 + c = 2 f
  • 83. a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O Na: 2 a + c = 2 f Cr: 2 a = 2 d O: 7 a + 4 b = 12 d + 4f + g H: 2 b = 2 g S: b = 3 d + f Br: c = 2 e a= 1 d = 1 b = 3 + f 2 + c = 2 f 7 a + 4 b = 12 d + 4f + g 7 (1) + 4 b = 12 (1) + 4f + g
  • 84. a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O Na: 2 a + c = 2 f Cr: 2 a = 2 d O: 7 a + 4 b = 12 d + 4 f + g H: 2 b = 2 g S: b = 3 d + f Br: c = 2 e a= 1 d = 1 b = 3 + f 2 + c = 2 f 7 a + 4 b = 12 d + 4 f + g 4 (3 + f) = 5 + 4 f + b 4 (3 + f) = 5 + 4 f + (3 + f)
  • 85. a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O Na: 2 a + c = 2 f Cr: 2 a = 2 d O: 7 a + 4 b = 12 d + 4 f + g H: 2 b = 2 g S: b = 3 d + f Br: c = 2 e a= 1 d = 1 b = 3 + f 2 + c = 2 f 4 (3 + f) = 5 + 4 f + (3 + f) 12 + 4 f = 8 + 5 f 12 – 8 = 5 f – 4 f 4 = f
  • 86. a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O Na: 2 a + c = 2 f Cr: 2 a = 2 d O: 7 a + 4 b = 12 d + 4 f + g H: 2 b = 2 g S: b = 3 d + f Br: c = 2 e a= 1 d = 1 b = 3 + f 2 + c = 2 f 4 (3 + f) = 5 + 4 f + (3 + f) 12 – 8 = 5 f – 4 f 4 = f b = 7 = g
  • 87. a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O Na: 2 a + c = 2 f Cr: 2 a = 2 d O: 7 a + 4 b = 12 d + 4 f + g H: 2 b = 2 g S: b = 3 d + f Br: c = 2 e a= 1 d = 1 b = 3 + f 2 + c = 2 f 4 = f b = 7 = g 2 + c = 2 f c = 6 2 + c = 2 (4) e = 3
  • 88. a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O Na: 2 a + c = 2 f Cr: 2 a = 2 d O: 7 a + 4 b = 12 d + 4 f + g H: 2 b = 2 g S: b = 3 d + f Br: c = 2 e a= 1 d = 1 f = 4 g = 7 b = 7 c = 6 e = 3
  • 90. Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O
  • 91. Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O Oxígeno O : -2 -2 -2 -2 -2 -2
  • 92. Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O -2 +1 -2 -2 -2 +1 -2 Hidrógeno H: +1
  • 93. Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O -2 +1 -2 -2 -2 +1 -2 Metales Li Na K Ag +1 Be Mg Ca Sr Ba Ra Zn +2 Al +3
  • 94. Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O +1 -2 +1 -2 +1 -2 +1 -2 +1 -2 Metales Li Na K Ag +1 Be Mg Ca Sr Ba Ra Zn +2 Al +3
  • 95. Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O +1 -2 +1 -2 +1 -2 +1 -2 +1 -2 Total de cargas = 0 Electroneutralidad +2 -14 +2 -8 +1 +6 -24 0 +2 -8 +2 -2
  • 96. Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O +1 -2 +1 -2 +1 -2 +1 -2 +1 -2 +2 12 -14 +2 6 -8 +1 -1 +6 18 -24 0 +2 6 -8 +2 -2 Cromo 2 3 6 Azufre 2 4 6
  • 97. Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O +1 6 -2 +1 6 -2 +1 -1 3 6 -2 0 +1 6 -2 +1 -2 +2 12 -14 +2 6 -8 +1 -1 +6 18 -24 0 +2 6 -8 +2 -2
  • 98. Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O +1 6 -2 +1 6 -2 +1 -1 3 6 -2 0 +1 6 -2 +1 -2 +2 12 -14 +2 6 -8 +1 -1 +6 18 -24 0 +2 6 -8 +2 -2 Cr2 +6 Cr2 +3
  • 99. Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O +1 6 -2 +1 6 -2 +1 -1 3 6 -2 0 +1 6 -2 +1 -2 +2 12 -14 +2 6 -8 +1 -1 +6 18 -24 0 +2 6 -8 +2 -2 Cr2 +6 Cr2 +3 Br-1 Br2 0
  • 100. a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O +1 6 -2 +1 6 -2 +1 -1 3 6 -2 0 +1 6 -2 +1 -2 +2 12 -14 +2 6 -8 +1 -1 +6 18 -24 0 +2 6 -8 +2 -2 Cr2 +6 + 6 e- Cr2 +3 2 Br-1 – 2 e- Br2 0
  • 101. a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O +1 6 -2 +1 6 -2 +1 -1 3 6 -2 0 +1 6 -2 +1 -2 Cr2 +6 + 6 e- Cr2 +3 2 Br-1 – 2 e- Br2 0 x 3
  • 102. a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O +1 6 -2 +1 6 -2 +1 -1 3 6 -2 0 +1 6 -2 +1 -2 Cr2 +6 + 6 e- Cr2 +3 2 Br-1 – 2 e- Br2 0 x 3 x 1
  • 103. a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O 1 Cr2 +6 + 6 e- 1 Cr2 +3 6 Br-1 – 6 e- 3 Br2 0
  • 104. a Na2Cr2O7 + b H2SO4 + c NaBr → d Cr2(SO4)3 + e Br2 + f Na2SO4 + gH2O 1 Cr2 +6 + 6 Br-1 1 Cr2 +3 + 3 Br2 0
  • 105. 1 Na2Cr2O7 + _ H2SO4 + 6 NaBr → 1 Cr2(SO4)3 + 3 Br2 + _ Na2SO4 + _H2O 1 Cr2 +6 + 6 Br-1 1 Cr2 +3 + 3 Br2 0
  • 106. 1 Na2Cr2O7 + _ H2SO4 + 6 NaBr → 1 Cr2(SO4)3 + 3 Br2 + _ Na2SO4 + _H2O 1 Na2Cr2O7 + _ H2SO4 + 6 NaBr → 1 Cr2(SO4)3 + 3 Br2 + 4 Na2SO4 + _H2O
  • 107. 1 Na2Cr2O7 + _ H2SO4 + 6 NaBr → 1 Cr2(SO4)3 + 3 Br2 + _ Na2SO4 + _H2O 1 Na2Cr2O7 + _ H2SO4 + 6 NaBr → 1 Cr2(SO4)3 + 3 Br2 + 4 Na2SO4 + _H2O 1 Na2Cr2O7 + 7 H2SO4 + 6 NaBr → 1 Cr2(SO4)3 + 3 Br2 + 4 Na2SO4 + _H2O
  • 108. 1 Na2Cr2O7 + _ H2SO4 + 6 NaBr → 1 Cr2(SO4)3 + 3 Br2 + _ Na2SO4 + _H2O 1 Na2Cr2O7 + _ H2SO4 + 6 NaBr → 1 Cr2(SO4)3 + 3 Br2 + 4 Na2SO4 + _H2O 1 Na2Cr2O7 + 7 H2SO4 + 6 NaBr → 1 Cr2(SO4)3 + 3 Br2 + 4 Na2SO4 + _H2O 1 Na2Cr2O7 + 7 H2SO4 + 6 NaBr → 1 Cr2(SO4)3 + 3 Br2 + 4 Na2SO4 + 7H2O
  • 110. Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O
  • 111. Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O 2(Na+) (Cr2O7 -2) 2(H+) (SO4 -2) (Na+1)(Br-1) 2(Cr+3) Br0 2 2 Na+1 H2O 3 (SO4 -2) (SO4 -2)
  • 112. Na2Cr2O7 + H2SO4 + NaBr → Cr2(SO4)3 + Br2 + Na2SO4 + H2O Br -1 Br2 0 (Cr2O7) -2 Cr2 +3
  • 113. (Cr2O7) = Cr2 +3 + 7 H2 O 2 Br – 1 - 2 e- Br2 0
  • 114. (Cr2O7) = + 14 H+1 Cr2 +3 + 7 H2 O 2 Br – 1 Br2 0
  • 115. (Cr2O7) = + 14 H+1 + 6 e - Cr2 +3 + 7 H2 O 2 Br – 1 - 2 e- Br2 0 x 1 x 3
  • 116. 1 Na2Cr2O7 + 7 H2SO4 + 6 NaBr → 1 Cr2(SO4)3 + 3 Br2 + _ Na2SO4 + 7H2O 1 Na2Cr2O7 + 7 H2SO4 + 6 NaBr → 1 Cr2(SO4)3 + 3 Br2 + 4 Na2SO4 + 7H2O