In the redox reaction
, the oxidation half-reaction involves lead reduction, while the reduction half-reaction involves ammonia oxidation. In aqueous solution, the net ionic form is

The given redox equation is:
![\[ \text{(a) } \text{PbO}(s) + \text{NH}_3(g) \rightarrow \text{N}_2(g) + \text{H}_2\text{O}(l) + \text{Pb}(s) \]](https://img.qammunity.org/2024/formulas/chemistry/college/imvqplm6u7iasyludxon2i4h880b0dyf9p.png)
To determine the oxidation and reduction half-reactions, let's assign oxidation numbers.
1. **Oxidation Half-Reaction:**
![\[ \text{Pb}^(4+) + 4\text{e}^- \rightarrow \text{Pb}^(2+) \]](https://img.qammunity.org/2024/formulas/chemistry/college/cc6ofm9ubwuwduaplsoy04hqn1dr6vun9j.png)
This is because lead (
) is reduced from an oxidation state of +4 to +2.
2. **Reduction Half-Reaction:**
![\[ \text{NH}_3 + 3\text{e}^- \rightarrow \text{N}_2 + 3\text{H}^+ \]](https://img.qammunity.org/2024/formulas/chemistry/college/d0fi1pf9fwn69j4y5ncmdk7j4sz3gi6m7p.png)
This is because ammonia (
) is oxidized from an oxidation state of -3 to 0.
**Net Ionic Form in Aqueous Solution:**
![\[ \text{PbO}(s) + 6\text{NH}_3(aq) \rightarrow \text{Pb}(\text{NH}_3)_6^(2+) + 2\text{OH}^- \]](https://img.qammunity.org/2024/formulas/chemistry/college/icxqm2f8dx9iue0kirh2mnvon6jekto6ai.png)
In this form, we include states-of-matter for reactants and products in aqueous solution, considering that ammonia (
) readily dissolves in water.
Note: The balanced coefficients for ammonia and hydroxide ions are selected to ensure charge balance in the net ionic form.