In the given reaction:
\[ 2 \text{Al} + 3 \text{Fe}^{3+} \rightarrow 2 \text{Al}^{3+} + 3 \text{Fe} \]
To identify the oxidation half-reaction, we need to determine which species is oxidized. Oxidation is defined as the loss of electrons.
In this reaction:
- Aluminum (Al) starts in the elemental form (0 oxidation state) and ends up as Al³⁺ (oxidation state of +3).
- Iron (Fe) starts as Fe³⁺ and ends up as elemental Fe (0 oxidation state).
Since aluminum is being oxidized (losing electrons), we can express the oxidation half-reaction as follows:
\[ \text{Oxidation half-reaction:} \] \[ \text{Al} \rightarrow \text{Al}^{3+} + 3 e^- \]
This shows that one aluminum atom loses three electrons to form Al³⁺. Since there are two aluminum atoms reacting, the full equation for the oxidation process would be:
\[ 2 \text{Al} \rightarrow 2 \text{Al}^{3+} + 6 e^- \]
Thus, the correct oxidation half-reaction for the overall reaction is:
\[ \text{2Al} \rightarrow \text{2Al}^{3+} + 6 e^- \]