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How to balance half-equations:
Steps |
Half-equation |
1. Write skeletal half-equations and balance the atoms being oxidised /reduced. Do not include spectator ions. |
MnO4– → Mn2+ |
2. Balance O atoms by adding H2O |
MnO4– → Mn2+ + 4H2O |
3. Balance H atoms by adding H+ |
MnO4– + 8H+ → Mn2+ + 4H2O |
4. Balance charges by adding e– |
MnO4– + 8H+ + 5e– → Mn2+ + 4H2O |
Example:
MnO4– + Br– → MnO2 + BrO3– (under alkaline conditions)
Steps |
Half-equation/ Overall equation |
1. Write balanced half-equations for the two reacting species. |
MnO4– + 4H+ + 3e– → MnO2 + 2H2O Br– + 3H2O → BrO3– + 6H+ + 6e– |
2. Multiply each half-equation to make the number of electrons equal. |
2MnO4– + 8H+ + 6e– → 2MnO2 + 4H2O Br– + 3H2O → BrO3– + 6H+ + 6e– |
3. Combine the two half-equations. Simplify if necessary. |
2MnO4– + 8H+ + Br– + 3H2O → 2MnO2 + 4H2O + BrO3– + 6H+ 2MnO4– + 2H+ + Br– → 2MnO2 + H2O + BrO3– |
4. Neutralise H+ by adding OH–. |
Add 2OH– to both sides to neutralise the 2H+ on the LHS 2MnO4– + 2H+ + 2OH– + Br– → 2MnO2 + H2O + BrO3– + 2OH– 2MnO4– + H2O + Br– → 2MnO2 + BrO3– + 2OH– |
Practice:
Balance the following equation under acidic and alkaline conditions:
MnO4– + C2O42– → Mn2+ + CO2
Answer:
Acidic: 16H+ + 2MnO4– + 5C2O42– → 2Mn2+ + 8H2O + 10CO2
Alkaline: 8H2O + 2MnO4– + 5C2O42– → 2Mn2+ + 16OH– + 10CO2