1. Identify the Oxidation and Reduction Half-Reactions:
* Oxidation: P₄ → POCl₃ (Phosphorus is oxidized from 0 to +5)
* Reduction: Cl₂ → HCl (Chlorine is reduced from 0 to -1)
2. Balance the Atoms (Except H and O):
* Oxidation: P₄ → 4POCl₃
* Reduction: Cl₂ → 2HCl
3. Balance Oxygen by Adding H₂O:
* Oxidation: P₄ + 12H₂O → 4POCl₃
* Reduction: Cl₂ → 2HCl
4. Balance Hydrogen by Adding H⁺:
* Oxidation: P₄ + 12H₂O → 4POCl₃ + 24H⁺
* Reduction: Cl₂ + 2H⁺ → 2HCl
5. Balance Charge by Adding Electrons (e⁻):
* Oxidation: P₄ + 12H₂O → 4POCl₃ + 24H⁺ + 20e⁻
* Reduction: Cl₂ + 2H⁺ + 2e⁻ → 2HCl
6. Make the Number of Electrons in Both Half-Reactions Equal:
* Multiply the reduction half-reaction by 10:
10Cl₂ + 20H⁺ + 20e⁻ → 20HCl
7. Combine the Balanced Half-Reactions:
P₄ + 12H₂O + 10Cl₂ → 4POCl₃ + 20HCl
8. Final Check:
* Make sure the number of atoms of each element is the same on both sides of the equation.
* Make sure the total charge is the same on both sides (in this case, it's 0).
Balanced Redox Reaction:
P₄ + 12H₂O + 10Cl₂ → 4POCl₃ + 20HCl