Respuesta :
Answer:
3 Cl₂(g) + 2 Fe(s) → 6 Cl⁻(aq) + 2 Fe³⁺(aq)
Explanation:
Step 1: Write the unbalanced redox reaction
Fe(s) + Cl₂(g) → Fe³⁺(aq) + Cl⁻(aq)
Step 2: Identify both half-reactions
Reduction: Cl₂(g) → Cl⁻(aq)
Oxidation: Fe(s) → Fe³⁺(aq)
Step 3: Perform the mass balance
Cl₂(g) → 2 Cl⁻(aq)
Fe(s) → Fe³⁺(aq)
Step 4: Perform the charge balance
2 e⁻ + Cl₂(g) → 2 Cl⁻(aq)
Fe(s) → Fe³⁺(aq) + 3 e⁻
Step 5: Multiply both half-reactions by numbers that make that the number of electrons gained and lost are equal
3 × [2 e⁻ + Cl₂(g) → 2 Cl⁻(aq)]
2 × [Fe(s) → Fe³⁺(aq) + 3 e⁻]
Step 6: Add both half-reactions and cancel what is repeated in both sides
6 e⁻ + 3 Cl₂(g) + 2 Fe(s) → 6 Cl⁻(aq) + 2 Fe³⁺(aq) + 6 e⁻
3 Cl₂(g) + 2 Fe(s) → 6 Cl⁻(aq) + 2 Fe³⁺(aq)
The coefficients needed to balance the redox reaction is as follows: 3Cl₂(g) + 2Fe(s) → 6Cl⁻(aq) + 2Fe³⁺(aq)
- The unbalanced redox reaction is given as: Fe(s) + Cl₂(g) → Fe³⁺(aq) + Cl⁻(aq)
- The balanced half-reactions in these equation are as follows:
- Reduction: Cl₂(g) → 2Cl⁻
- Oxidation: Fe(s) → Fe³⁺
- Next, we balance the charges in both half-reactions as follows:
- 2e⁻ + Cl₂(g) → 2Cl⁻
- Fe(s) → Fe³⁺ + 3e⁻
- Next, we multiply both half-reactions by coefficients that make number of electrons gained and lost equal.
- 3 × [2e⁻ + Cl₂ → 2 Cl⁻]
- 2 × [Fe → Fe³⁺ + 3e⁻]
- Overall, we have:
- 6e⁻ + 3Cl₂(g) + 2Fe(s) → 6Cl⁻(aq) + 2Fe³⁺(aq) + 6e⁻
- We cross out both electrons on both sides to have:
- 3Cl₂(g) + 2Fe(s) → 6Cl⁻(aq) + 2Fe³⁺(aq)
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