To balance the chemical equation for the reaction between potassium permanganate KMnO4 and sodium sulfite Na2SO3 in acidic solution, we need to follow these steps:1. Identify the oxidation and reduction half-reactions.2. Balance the atoms in each half-reaction.3. Balance the charges in each half-reaction.4. Multiply the half-reactions by appropriate factors to equalize the number of electrons transferred.5. Add the half-reactions and simplify.Step 1: Identify the oxidation and reduction half-reactions.KMnO4 in acidic solution is reduced to Mn2+, and Na2SO3 is oxidized to Na2SO4.Reduction half-reaction: MnO4- + 8H+ + 5e- Mn2+ + 4H2OOxidation half-reaction: SO3^2- SO4^2- + 2e-Step 2: Balance the atoms in each half-reaction.The atoms are already balanced in both half-reactions.Step 3: Balance the charges in each half-reaction.The charges are already balanced in both half-reactions.Step 4: Multiply the half-reactions by appropriate factors to equalize the number of electrons transferred.To equalize the number of electrons transferred, multiply the reduction half-reaction by 2 and the oxidation half-reaction by 5.2 MnO4- + 8H+ + 5e- Mn2+ + 4H2O 5 SO3^2- SO4^2- + 2e- Step 5: Add the half-reactions and simplify.2MnO4- + 16H+ + 10e- + 5SO3^2- 2Mn2+ + 8H2O + 5SO4^2- + 10e-Cancel out the electrons:2MnO4- + 16H+ + 5SO3^2- 2Mn2+ + 8H2O + 5SO4^2-Now, add the spectator ions K+ and Na+ to complete the balanced equation:2KMnO4 + 16H+ + 5Na2SO3 2Mn2+ + 8H2O + 5Na2SO4 + 2K+The balanced chemical equation for the reaction between potassium permanganate KMnO4 and sodium sulfite Na2SO3 in acidic solution is:2KMnO4 + 16H+ + 5Na2SO3 2Mn2+ + 8H2O + 5Na2SO4 + 2K+