Deduce the half-equation for the reduction of Cr2O72− to Cr3+ in acidic solution.
- Balance Cr: Cr2O72− → 2Cr3+.
- Balance O with water, then H with H+: Cr2O72− + 14H+ → 2Cr3+ + 7H2O.
- Charges: left is −2 + 14 = +12, right is 2 × (+3) = +6, so add 6e− to the left.
- Check with oxidation states: each Cr goes from +6 to +3, so 2 Cr atoms gain 6 electrons.
Answer: Cr2O72− + 14H+ + 6e− → 2Cr3+ + 7H2O