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Q. Given the equilibrium constant :
$KC$ of the reaction :
$\ce{Cu(s) + Ag^{+} (aq) -> Cu^{2+}(aq) +2 Ag(s)}$ is $10 \times 10^{15}$, calculate the $E^{0}_{cell}$ of this reaction at $298\, K$ $\left[2.303 \frac{RT}{F} \text{at} 298\, K =0.059\,V\right]$

JEE MainJEE Main 2019Electrochemistry

Solution:

$E_{\text{cell}} =E^{\circ}_{\text{cell}} - \frac{0.059}{n}\log Q$
At equilibrium
$ E^{\circ}_{\text{cell}} = \frac{0.059}{2} \log10^{16} $
$ = 0.059 \times8 $
$ = 0.472\, V $