Identify the oxidation and reduction components in the reaction. Aluminum (Al) is oxidized to Al³⁺, and permanganate ion (MnO₄⁻) is reduced to Mn²⁺.
Write the oxidation half-reaction for aluminum: Al(s) → Al³⁺(aq) + 3e⁻. This shows aluminum losing three electrons.
Write the reduction half-reaction for permanganate: MnO₄⁻(aq) + 8H⁺(aq) + 5e⁻ → Mn²⁺(aq) + 4H₂O(l). This shows permanganate gaining five electrons in acidic conditions.
Balance the electrons between the oxidation and reduction half-reactions. Multiply the oxidation half-reaction by 5 and the reduction half-reaction by 3 to balance the electrons exchanged.
Combine the balanced half-reactions, ensuring that the electrons cancel out, and verify that all atoms and charges are balanced in the final equation.