The zinc/silver oxide cell is used in hearing aids and electric watches.
`Zn to Zn^(2+) +2e^(-) , E^(Theta) = 0.76V`
`Ag_(2)O +H_(2)O +2e^(-) to Ag+2OH^(-), E^(Theta) = 0.344V`
Find `E^(Theta)` of the cell and `Delta_(r )G^(Theta)` in joules.

Explanation

To solve the problem, we need to find the standard cell potential (E°) and the standard Gibbs free energy change (ΔG°) for the zinc/silver oxide cell.

### Step 1: Identify the half-reactions and their standard reduction potentials.

1. **Oxidation half-reaction (Anode)**:
\[ \text{Zn} \rightarrow \text{Zn}^{2+} + 2e^{-}, \quad E^{\Theta} = 0.76 \, \text{V} \]
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