Final answer:
a. 4 MnO4¯ + SO32- + 4 H2O → 4 MnO2 + SO42- + 4 OH-. b. The oxidation number for sulfur before the reaction is +4. c. The oxidation number for sulfur after the reaction is +6.
Step-by-step explanation:
a. The balanced equation for the reaction between potassium permanganate and sodium sulfite in a basic solution using the half-reaction method is:
4 MnO4¯ + SO32- + 4 H2O → 4 MnO2 + SO42- + 4 OH-
b. The oxidation number for sulfur before the reaction is +4.
c. The oxidation number for sulfur after the reaction is +6.