Calculate the equilibrium constant of the reaction.
$C u (s) + 2 A g^{+} (a q) \to C u^{2 +} (a q) + 2 A g (s)$ , $E_{c e l l}^{⊖} = 0.46 V$

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Solution

Given, $E_{c e l l}^{⊖} = 0.46 V$ , n=2, , T = 298K, R= 8.314 J $K^{- 1} m o l^{- 1}$ , F = 96500C
$E_{c e l l}^{⊖} = \frac{2.303 R T}{n F} l o g K_{c}$
$E_{c e l l}^{⊖} = \frac{0.059 V}{2} l o g K_{c} = 0.46 V$
or $l o g K_{c} = \frac{0.46 V \times 2}{0.059 V} = 15.59 = 3.94 \times 10^{15}$

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