$K$ માં $298\, K$ તાપમાને અપ્રમાણસર માટે $2 Cu ^{+}( aq ) \rightleftharpoons Cu ( s )+ Cu ^{2+}( aq )$ (જ્યાં $K$ એ સંતુલન અચળાંકછે ) ....... $\times 10^{-1}$

આપેલ $\left( E _{ Cu ^{2+} / Cu ^{+}}^{0}=0.16 V \right.$ $,E _{ Cu ^{+} / Cu }^{0}=0.52 V,$ $\left.\frac{ RT }{ F }=0.025\right)$

Question

$K$ માં $298\, K$ તાપમાને અપ્રમાણસર માટે $2 Cu ^{+}( aq ) \rightleftharpoons Cu ( s )+ Cu ^{2+}( aq )$ (જ્યાં $K$ એ સંતુલન અચળાંકછે ) ....... $\times 10^{-1}$

આપેલ $\left( E _{ Cu ^{2+} / Cu ^{+}}^{0}=0.16 V \right.$ $,E _{ Cu ^{+} / Cu }^{0}=0.52 V,$ $\left.\frac{ RT }{ F }=0.025\right)$

A$140$
B$144$
C$150$
D$156$

JEE MAIN 2020, Medium

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Solution

b
$Cu ^{+} \longrightarrow Cu + e ^{-}$

$Cu ^{+}+ e ^{-} \longrightarrow Cu ( s )$

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$2 Cu ^{+} \longrightarrow Cu ^{2+}+ Cu$

$E_{c e l l}^{o}=E_{C u^{+} / C u}^{0}-E_{C u^{2+} / C u^{+}}^{0}$

$=0.52-0.16$

$=0.36 V$

At equilibrium $\rightarrow E _{\text {cell }}=0$

$E_{c e l l}^{o}=\frac{R T}{n F} l n K$

$\ln K =\frac{ E _{ eell }^{\circ} \times nF }{ RT }$

$\ln K =\frac{0.36 \times 1}{0.025}$

$=14.4=144 \times 10^{-1}$

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