Questions

# The standard equilibrium constant of the reaction$2{\mathrm{Cu}}^{+}\left(\mathrm{aq}\right)⇌{\mathrm{Cu}}^{2+}\left(\mathrm{aq}\right)+\mathrm{Cu}\left(\mathrm{s}\right)$is about [Given:

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a
$2.76×{10}^{5}$
b
$2.76×{10}^{6}$
c
$2.76×{10}^{7}$
d
$2.76×{10}^{8}$
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detailed solution

Correct option is B

Consider the cell

$\mathrm{Cu}\left(\mathrm{s}\right)\left|{\mathrm{Cu}}^{2+}\left(1\mathrm{M}\right)\right|\left|{\mathrm{Cu}}^{+}\left(1\mathrm{M}\right)\right|\mathrm{Cu}$

The cell reaction is

Thus  ${E}_{\mathrm{cell}}^{\circ }={E}_{{\mathrm{Cu}}^{+}\mid \mathrm{Cu}}^{\circ }-{E}_{{\mathrm{Cu}}^{2}\mid \mathrm{Cu}}^{\circ }=0.53\mathrm{V}-0.34\mathrm{V}=0.19\mathrm{V}$

or $\mathrm{log}{K}_{\mathrm{eq}}^{\circ }=\frac{\left(2\right)\left(0.19\mathrm{V}\right)}{\left(0.059\mathrm{V}\right)}=6.44$

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