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Question

Balance the following redox reactions:
Cr2O27(aq)+HNO2(aq)Cr3+(aq)+NO3(aq)

A
Cr2O27(aq)+3NO2(aq)+8H+(aq)2Cr3+(aq)+6NO3(aq)+4H2O(l)
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B
Cr2O27(aq)+6NO2(aq)+8H+(aq)2Cr3+(aq)+6NO3(aq)+4H2O(l)
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C
Cr2O27(aq)+3NO2(aq)+8H+(aq)2Cr3+(aq)+3NO3(aq)+4H2O(l)
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D
Cr2O27(aq)+6NO2(aq)+8H+(aq)2Cr3+(aq)+3NO3(aq)+4H2O(l)
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Solution

The correct option is B Cr2O27(aq)+3NO2(aq)+8H+(aq)2Cr3+(aq)+3NO3(aq)+4H2O(l)
The unbalanced chemical equation is as follows:
Cr2O27(aq)+HNO2(aq)Cr3+(aq)+NO3(aq)
Balance all atoms other than H and O.
Cr2O27(aq)+HNO2(aq)2Cr3+(aq)+NO3(aq)
The oxidation number of Cr changes from +6 to +3. The change in the oxidation number is 3.
Total change in the oxidation number is 6.
The oxidation number of N changes from +3 to +5. The change in the oxidation number is 2.
To balance the increase in the oxidation number with decrease in oxidation number, multiply NO2 and NO3 with 3.
Cr2O27(aq)+H++3NO2(aq)2Cr3+(aq)+3NO3(aq)
Balance the O atoms by adding 4 water molecules on RHS.
Cr2O27(aq)+H++3NO2(aq)2Cr3+(aq)+3NO3(aq)+4H2O
Balance H atoms by adding 7H+ ions on LHS.
Cr2O27(aq)+8H++3NO2(aq)2Cr3+(aq)+3NO3(aq)+4H2O
This is the balanced chemical equation.

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