To determine the correct oxidation half-reaction for the given reaction, we need to identify which substance is being oxidized. An oxidation half-reaction will show the loss of electrons.
In the given reaction:
\[ 2 \text{Al} + 3 \text{Fe}^{3+} \rightarrow 2 \text{Al}^{3+} + 3 \text{Fe} \]
- Aluminum (Al) is being oxidized to aluminum ions (Al³⁺), which means it loses electrons.
- The oxidation of aluminum can be represented as:
\[ \text{Al} \rightarrow \text{Al}^{3+} + 3\text{e}^- \]
This correctly depicts that aluminum is being oxidized and is the half-reaction we are looking for.
Now, looking at the options provided:
A. \( \text{Al}^{3+} + 3e^- \rightarrow \text{Al} \) (This is a reduction reaction.) B. \( \text{Fe}^{3+} + 3e^- \rightarrow \text{Fe} \) (This is also a reduction reaction.) C. \( \text{Al} \rightarrow \text{Al}^{3+} + 3e \) (This represents oxidation correctly.) D. \( \text{Fe} \rightarrow \text{Fe}^{3+} + 3e^- \) (This is oxidation for iron, but not for aluminum.)
Thus, the correct oxidation half-reaction is C. \( \text{Al} \rightarrow \text{Al}^{3+} + 3e \).