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Redox Reactions

Question
CBSEENCH11006763

Balance the following,chemical equation by oxidation number method:

FeS subscript 2 space plus space straight O subscript 2 space space rightwards arrow space space space Fe subscript 2 straight O subscript 3 space plus space SO subscript 2

Solution
(i) The skeleton equation along with oxidation number of each atom is:
+2        -1        0           +3   -2         +4  -2
Fe      S2   + O2       rightwards arrow  Fe2O3  + SO2
(O.N. of S in FeS2 is -1 and not - 2)
(ii) The oxidation number of iron, as well as sulphur, increases from +2 to +3 and -1 to +4 respectively. Since Fe and S must maintain their atomic ratio, the change in oxidation number will be considered together. But, the oxidation number of oxygen decreases from 0 to 2. Thus
O.N: increases 1 per Fe and 5 per S atom

(iii) Equalise the increase/decrease of O:N. multiply FeS2 by 4 and O2 by 11.
4 FeS subscript 2 space plus space 11 straight O subscript 2 space space rightwards arrow space space Fe subscript 2 straight O subscript 3 space plus space SO subscript 2
(iv) On counting and balancing the atoms on both sides, we get the balanced equation as,
4 FeS subscript 2 space plus space 11 straight O subscript 2 space space space rightwards arrow space space space 2 Fe subscript 2 straight O subscript 3 space plus space 8 SO subscript 2