The standard reduction potentials of two half cells `Al^(3+) (aq) | Al`and `Mg^(2+)(aq) | Mg` are -1.66V and -2.36V respectively. Calculate the standard cell potential. Write the cell reactions also.

Explanation

To solve the problem, we need to calculate the standard cell potential using the given standard reduction potentials for the half-cells involving aluminum and magnesium. Let's go through the solution step by step.

### Step 1: Identify the half-reactions and their standard reduction potentials
We have two half-reactions:
1. For aluminum:
\[ \text{Al}^{3+} (aq) + 3e^- \rightarrow \text{Al} (s) \quad E^\circ = -1.66 \, \text{V} \]
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