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Question

Balance the following reaction.
FeC2O4+KMnO4+H2SO4Fe2(SO4)3+CO2+MnSO4+K2SO4+H2O

A
10FeC2O4+6KMnO4+24H2SO45Fe2(SO4)3+20CO2+6MnSO4+3K2SO4+24H2O
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B
5FeC2O4+4KMnO4+12H2SO47Fe2(SO4)3+20CO2+6MnSO4+3K2SO4+24H2O
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C
10FeC2O4+4KMnO4+24H2SO46Fe2(SO4)3+20CO2+6MnSO4+3K2SO4+24H2O
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D
None of these
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Solution

The correct option is A 10FeC2O4+6KMnO4+24H2SO45Fe2(SO4)3+20CO2+6MnSO4+3K2SO4+24H2O
The unbalanced redox equation is as follows:
FeC2O4+KMnO4+H2SO4Fe2(SO4)3+CO2+MnSO4+K2SO4+H2O
Balance all atoms other than H and O.
2FeC2O4+2KMnO4+6H2SO4Fe2(SO4)3+2CO2+2MnSO4+K2SO4+H2O
The oxidation number of Fe changes from +2 to +3. The change in the oxidation number of one Fe atom is 1.
Total change in the oxidation number of 2 Fe atoms is 2.
The oxidation number of C changes from +3 to +4. The change in the oxidation number of one C atom is 1.
Total change in the oxidation number of 4 C atoms is 4.
The oxidation number of Mn changes from 7 to 2. The change in the oxidation number of Mn is 5.
Total change in the oxidation number of 2 Mn atoms is 10.
The increase in the oxidation number is balanced with decrease in the oxidation number by multiplying
KMnO4 and MnSO4 with 3 and multiply FeC2O4 Fe2(SO4)3 by 5 and CO2 by 10. Sulphuric acid and potassium sulphate are also balanced.
10FeC2O4+6KMnO4+24H2SO45Fe2(SO4)3+20CO2+6MnSO4+3K2SO4+H2O
O atoms are balanced by adding 23 water molecules on RHS.
10FeC2O4+6KMnO4+24H2SO45Fe2(SO4)3+20CO2+6MnSO4+3K2SO4+24H2O
Hydrogen atoms are balanced. Thus, this is the balanced chemical equation.

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