Final answer:
Each gold atom gains 3 electrons in the reduction half-reaction, each iodine atom loses 2 electrons in the oxidation half-reaction, the total number of electrons moved in the oxidation-reduction reaction is 6 electrons, and the final balanced equation is Au(OH)₃ + 3HI → 2Au + 3I₂ + 3H₂O.
Step-by-step explanation:
1. Each gold atom gains 3 electrons in the reduction half-reaction: Au³⁺ + 3e⁻ → Au
2. Each iodine atom loses 2 electrons in the oxidation half-reaction: 2I⁻ → I₂ + 2e⁻
3. The total number of electrons moved in the oxidation-reduction reaction is 6 electrons.
4. The final balanced equation is: Au(OH)₃ + 3HI → 2Au + 3I₂ + 3H₂O