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Balance the following redox reaction in a basic solution.MnO4- (aq) + SO32- (aq) ⟶ MnO2(s) + SO42- (aq)

Question

Balance the following redox reaction in a basic solution.MnO4- (aq) + SO32- (aq) ⟶ MnO2(s) + SO42- (aq)

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Solution

Balancing a redox reaction involves balancing the oxidation and reduction half-reactions. Here are the steps to balance the given reaction:

  1. Identify the oxidation and reduction half-reactions: MnO4- → MnO2 is the reduction half-reaction (Mn is reduced from +7 to +4) SO32- → SO42- is the oxidation half-reaction (S is oxidized from +4 to +6)

  2. Balance the atoms other than O and H in each half-reaction: For the reduction half-reaction, Mn is already balanced. For the oxidation half-reaction, S is already balanced.

  3. Balance the O atoms by adding H2O: Reduction: MnO4- → MnO2 + 2H2O Oxidation: SO32- → SO42- is already balanced for O.

  4. Balance the H atoms by adding H+: Reduction: MnO4- + 4H+ → MnO2 + 2H2O Oxidation: SO32- → SO42- + H2O

  5. Balance the charge by adding electrons (e-): Reduction: MnO4- + 4H+ + 3e- → MnO2 + 2H2O Oxidation: SO32- → SO42- + H2O + 2e-

  6. Make the electron gain equal to the electron loss in the two half-reactions: Multiply the reduction half-reaction by 2 and the oxidation half-reaction by 3: 2(MnO4- + 4H+ + 3e- → MnO2 + 2H2O) 3(SO32- → SO42- + H2O + 2e-)

  7. Add the half-reactions and simplify: 2MnO4- + 8H+ + 6e- + 3SO32- → 2MnO2 + 4H2O + 3SO42- + 3H2O + 6e- Simplifies to: 2MnO4- + 3SO32- + 8H+ → 2MnO2 + 3SO42- + 7H2O

  8. Convert to basic solution by adding OH- to each side to neutralize H+: 2MnO4- + 3SO32- + 8H2O → 2MnO2 + 3SO42- + 7H2O + 8OH- Simplifies to: 2MnO4- + 3SO32- + H2O → 2MnO2 + 3SO42- + 8OH-

So, the balanced redox reaction in a basic solution is: 2MnO4- (aq) + 3SO32- (aq) + H2O (l) → 2MnO2 (s) + 3SO42- (aq) + 8OH- (aq)

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