Consider the following reaction :
\( \text{Zn}_{(s)} + \text{Ag}_2\text{O}_{(s)} + \text{H}_2\text{O}_{(l)} \rightarrow \text{Zn}^{2+}_{(aq)} + 2\text{Ag}_{(s)} + 2\text{OH}^-_{(aq)} \)
Given : \( E^\circ_{\text{Ag}^+/\text{Ag}} = 0.80 \, \text{V} \), \( E^\circ_{\text{Zn}^{2+}/\text{Zn}} = -0.76 \, \text{V} \), \( 1 \, \text{F} = 96500 \, \text{C mol}^{-1} \).
\( \Delta_r G^\circ \) for the above reaction is :