Answer:
31. To write the balance oxidation half-reaction, we need to determine which element is undergoing oxidation (losing electrons). In this reaction, aluminum (Al) is being oxidized because its oxidation state changes from 0 to +3. The oxidation half-reaction is:
4 Al(s) → 4 Al³⁺(aq) + 12 e⁻
Note that we balance the number of electrons transferred by multiplying the half-reaction by 3.
32. In Al₂O3, aluminum has an oxidation state of +3. The total charge of the compound is 0. Therefore, the oxidation state of oxygen can be calculated as:
2(oxidation state of Al) + 3(oxidation state of O) = 0
2(+3) + 3(x) = 0
6 + 3x = 0
3x = -6
x = -2
the oxidation number of oxygen in Al₂O3 is: -2.