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Nernst Equation

Ecell0=1.18 V...

Question

$E_{c e l l}^{0} = 1.18 V for Z n (s) | Z n^{+ 2} (1 M) | | C u^{+ 2} (1 M) | C u (s)$ . The value of X, when excess granulated zinc is added to 1 M $C u^{+ 2}$ solution, the $[C u^{+ 2}]_{e q .}$ becomes $10^{- X}, M$ is _________.

$[T = 298 K, \frac{2.303 R T}{F} = 0.059]$

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Solution

$E_{c e l l}^{0} =$ 1.18 V for $Z n (s) | Z n^{+ 2} (1 M) | | C u^{+ 2} (1 M) | C u (s)$

$E_{c e l l}^{0} = \frac{2.303 R T}{2 F} l o g [\frac{Z n^{2 +}}{C u^{2 +}}]$

$1.18 = \frac{0.059}{2} l o g \frac{1}{[C u^{2 +}]}$

$40 = l o g \frac{1}{[C u^{2 +}]}$

$\Rightarrow [C u^{2 +}] = 10^{- 40}$

$\Rightarrow X = 40$

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