Final answer:
The redox reaction between SO32-(aq) and MnO4-(aq) in acidic solution is balanced by using the half-reaction method, resulting in the balanced equation: 3 SO32-(aq) + 2 MnO4-(aq) + 2 H+(aq) → 3 SO42-(aq) + 2 Mn2+(aq) + 4H2O(l).
Step-by-step explanation:
To balance the redox reaction SO32-(aq) + MnO4-(aq) → SO42-(aq) + Mn2+(aq) in an acidic solution using the half-reaction method, we can follow these steps:
- Write the oxidation and reduction half-reactions:
Oxidation: SO32-(aq) → SO42-(aq)
Reduction: MnO4-(aq) → Mn2+(aq) - Balance all elements other than oxygen and hydrogen in each half-reaction.
- Balance oxygen by adding water (H2O) to the side lacking oxygen.
- Balance hydrogen by adding hydrogen ions (H+) to the side lacking hydrogen.
- Balance the charges by adding electrons (e-).
- Multiply each half-reaction by an appropriate factor so the number of electrons gained in the reduction equals the number of electrons lost in the oxidation.
- Add the two half-reactions together and cancel out anything that appears on both sides of the reaction.
The balanced equation for the overall reaction is:
3 SO32-(aq) + 2 MnO4-(aq) + 2 H+(aq) → 3 SO42-(aq) + 2 Mn2+(aq) + 4H2O(l)