(a) Calculate `Delta_(r)G^(@)` for the reaction `Mg(s)+Cu^(2)(aq)rarrMg^(2+)(aq)+Cu(s)`
Given : `E^(@)cell=+2.71 V,1F=96500 C mol^(-1)`
(b) Name the type of cell which was used Apollo space progromme for providing electrical, power

Explanation

To solve the given problem, we will break it down into two parts as specified in the question.

### Part (a): Calculate `Δ_rG^(@)` for the reaction `Mg(s) + Cu^(2+)(aq) → Mg^(2+)(aq) + Cu(s)`

1. **Identify the reaction and the given values**:
- The reaction is:
\[
\text{Mg(s)} + \text{Cu}^{2+}(aq) \rightarrow \text{Mg}^{2+}(aq) + \text{Cu(s)}
...