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Solution
The correct option is BCr2O2−7(aq)+3NO−2(aq)+8H+(aq)⟶2Cr3+(aq)+3NO−3(aq)+4H2O(l) The unbalanced chemical equation is as follows: Cr2O2−7(aq)+HNO2(aq)⟶Cr3+(aq)+NO−3(aq) Balance all atoms other than H and O. Cr2O2−7(aq)+HNO2(aq)⟶2Cr3+(aq)+NO−3(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 NO−2 and NO−3 with 3. Cr2O2−7(aq)+H++3NO−2(aq)⟶2Cr3+(aq)+3NO−3(aq) Balance the O atoms by adding 4 water molecules on RHS. Cr2O2−7(aq)+H++3NO−2(aq)⟶2Cr3+(aq)+3NO−3(aq)+4H2O Balance H atoms by adding 7H+ ions on LHS. Cr2O2−7(aq)+8H++3NO−2(aq)⟶2Cr3+(aq)+3NO−3(aq)+4H2O This is the balanced chemical equation.