The equilibrium constant for the disproportionation reaction
\( 2\text{Cu}^+ (aq) \rightleftharpoons \text{Cu} (s) + \text{Cu}^{2+} (aq) \)
at \( 25^\circ \text{C} \) is given that
\( E^\circ_{\text{Cu}^+/\text{Cu}} = 0.52\,\text{V}, \quad E^\circ_{\text{Cu}^{2+}/\text{Cu}^+} = 0.16\,\text{V} \).