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Question

Balance the following redox reactions:
H2O2(aq)+ClO4(aq)O2(g)+ClO2(aq)

A
3H2O2(aq)+5ClO4(aq)2O2(g)+2ClO2(aq)+2H2O(l)
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B
2H2O2(aq)+ClO4(aq)2O2(g)+ClO2(aq)+2H2O(l)
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C
2H2O2(aq)+5ClO4(aq)2O2(g)+6ClO2(aq)+2H2O(l)
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D
2H2O2(aq)+3ClO4(aq)2O2(g)+7ClO2(aq)+2H2O(l)
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Solution

The correct option is B 2H2O2(aq)+ClO4(aq)2O2(g)+ClO2(aq)+2H2O(l)
The unbalanced chemical equation is as follows:
H2O2(aq)+ClO4(aq)O2(g)+ClO2(aq)
All atoms except H and O are balanced.
The oxidation number of Cl changes from 7 to 3. The change in the oxidation number is 4.
The oxidation number of O changes from -1 to 0. The change in oxidation number per O atom is 1.
Total change in the oxidation number for 2 oxygen atoms is 2.
To balance the increase in oxidation number with decrease in the oxidation number, multiply H2O2 and O2 with coefficients 2.
2H2O2(aq)+ClO4(aq)2O2(g)+ClO2(aq)
To balance O atoms, add 2 water molecules on RHS.
2H2O2(aq)+ClO4(aq)2O2(g)+ClO2(aq)+2H2O(l)
The oxygen atoms are already balanced.
This is the balanced chemical equation.

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