Figure 3-124. Balancing the reaction of KMnO4 with K2SO3 in the presence of KOH: final steps. So, to balance half-reactions under acidic conditions, H
2O and H
+ are used. The balancing of half-reactions under basic conditions is done by using H
2O and OH
-. What do we do if a redox reaction occurs under neutral conditions? In such cases, use H
2O on the left and either H
+ or OH
- on the right of a half-reaction.
The ion electron balancing method is a powerful tool. Master it and you will be amazed how much you have improved not only your redox reaction balancing skills, but also your overall knowledge and understanding of chemistry.
There are some redox reactions, however, that should not be balanced by the ion electron method. Those are reactions where oxidation and reduction processes occur not in solution, but in the gas phase or at the gas-solid or solid-solid interface. Examples of such transformations include oxidations with O
2, the synthesis of ammonia from N
2 and H
2, and reactions of halogens with metals or hydrogen. To balance such reactions we may use the simpler oxidation state method described in Volume 2. In many cases, however, the balancing can be done easily without even thinking about oxidation states and electrons moving from one species to another. As we have learned from Volume 1, the balancing of oxidation reactions with O
2 is made easy by just remembering that the number of O atoms provided by any number of O
2 molecules is always even. Let me show you how to balance one of the trickiest oxidation reactions involving O
2.
The air-oxidation of the mineral pyrite (FeS
2) is the first step of the production of sulfuric acid (Figure 3-36). Let us balance this redox reaction.
FeS2 + O2 = Fe2O3 + SO2 First, we notice that while the number of oxygen atoms in SO
2 is even, in Fe
2O
3 it is odd. To make it even, we place 2 in front of the Fe
2O
3:
FeS2 + O2 = 2 Fe2O3 + SO2Now we have four Fe atoms on the right but only one on the left. To balance the iron, we put 4 before FeS
2:
4 FeS2 + O2 = 2 Fe2O3 + SO2The iron is now balanced, but the sulfur is not. There are 8 S atoms on the left, but only one on the right. So, we place 8 before SO
2:
4 FeS2 + O2 = 2 Fe2O3 + 8 SO2Now that both the Fe and S are balanced, we need to balance the oxygen. That should be doable because we have already ensured that the number of O atoms on the right is even. On the right, there are 6 O atoms in the two molecules of Fe
2O
3 and 16 O atoms in the 8 molecules of SO
2. The total is 6 + 16 = 22, meaning that we need 22 atoms of oxygen in the left part of the equation. By putting 11 in front of the O
2 we get our equation balanced:
4 FeS2 + 11 O2 = 2 Fe2O3 + 8 SO2 3.9.2. Exercises. 1. Balance
both the atoms and charges in the following half-reactions.
(a) HSO
3- → SO
42- (acidic conditions)
(b) NO
3- → N
2 (acidic conditions)
(c) NO
3- → N
2O (acidic conditions)
(d) NO
3- → NO
2 (acidic conditions)
(e) H
2O
2 → O
2 (basic conditions)
(f) P → PO
43- (acidic conditions)
(g) Cl
2 → ClO
3- (basic conditions)
(h) NO
3- → NH
3 (basic conditions)
(i) MnO
4- → MnO
2 (neutral conditions)
(j) H
2 → H
+ (acidic conditions)
(k) Cl
2 → ClO
- (basic conditions)
(l) NO
2- → NO
3- (acidic conditions)
(m) NO
2 → NO
3- (basic conditions)
(n) NH
3 → NH
4+ (acidic conditions)
(o) H
2S → SO
42- (acidic conditions)
(p) Cr
2O
72- → Cr
3+ (acidic conditions)
(q) MnO
4- → Mn
2+ (acidic conditions)
(r) I
- → IO
3- (acidic conditions)
(s) Zn → ZnO
22- (basic conditions)
(t) Cu
2+ → Cu
2O (basic conditions)
(u) Cu
2O → Cu
2+ (acidic conditions)
(v) ClO
3- → ClO
2 (acidic conditions)
(w) Mn
2O
7 → Mn
2+ (acidic conditions)
(x) CrO
42- → Cr(OH)
3 (basic conditions)
(y) Al → AlO
2- (basic conditions)
(z) FeO → Fe
3+ (acidic conditions)
Answer 2. Balance the following redox reactions using the ion electron method.
(a) Cl
2 + NaOH = NaCl + NaOCl + H
2O
(b) Cu + HNO
3 (concentrated) = Cu(NO
3)
2 + NO
2 + H
2O
(c) Hg + HNO
3 (dilute) = Hg(NO
3)
2 + NO + H
2O
(d) KMnO
4 + HCl = KCl + MnCl
2 + Cl
2 + H
2O
(e) AgNO
3 + KOH + H
2O
2 = Ag + KNO
3 + O
2 (f) Cl
2 + KOH = KClO
3 + KCl + H
2O
(g) CrO
3 + SO
2 = Cr
2(SO
4)
3 (acidic conditions)
(h) Cl
2 + H
2S + H
2O = HCl + H
2SO
4 (acidic conditions)
(i) FeSO
4 + O
2 + H
2SO
4 = Fe
2(SO
4)
3 + H
2O
(j) K
2Cr
2O
7 + NO
2 + HNO
3 = KNO
3 + Cr(NO
3)
3 + H
2O
(k) P + HNO
3 = H
3PO
4 + NO
2 + H
2O
(l) HIO
3 + HI = I
2 + H
2O
(m) I
2 + Cl
2 + H
2O = HIO
3 + HCl (acidic conditions)
(n) Zn + NaOH = Na
2ZnO
2 + H
2 (o) KMnO
4 + H
2O
2 = MnO
2 + KOH + O
2 + H
2O
(p) C + HNO
3 = CO
2 + NO
2 + H
2O
(q) H
2SO
3 + H
2S = S + H
2O
(r) Zn + HNO
3 (dilute) = Zn(NO
3)
2 + N
2O + H
2O
(s) Zn + HNO
3 (dilute) = Zn(NO
3)
2 + N
2 + H
2O
(t) SO
2 + Br
2 + H
2O = H
2SO
4 + HBr (acidic conditions)
(u) CuSO
4 + KI = K
2SO
4 + CuI + I
2 (v) Si + H
2O + KOH = K
2SiO
3 + H
2 (w) K
2Cr
2O
7 + CO + H
2SO
4 = Cr
2(SO
4)
3 + K
2SO
4 + CO
2 + H
2O
(x) KClO
3 + FeCl
2 + HCl = KCl + FeCl
3 + H
2O
(y) HIO
3 + HI = I
2 + H
2O
(z) KClO
3 + H
2O
2 = KCl + O
2 + H
2O (neutral conditions)
[Answer: No answer. You should be able to balance all of these equations yourself. If you have problems, reread this section carefully and practice more]