Electrochemistry - Result Question 41

####43. Given:

[2009]

(i) $Cu^{2+}+2 e^{-} \to Cu, E^{0}=0.337 V$

(ii) $Cu^{2+}+e^{-} \to Cu^{+}, E^{\circ}=0.153 V$

Electrode potential, $E^{\circ}$ for the reaction, $Cu^{+}+e^{-} \to Cu$, will be :

(a) $0.90 V$

(b) $0.30 V$

(c) $0.38 V$

(d) $0.52 V$

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Solution:

  1. (d) $Cu^{2+}+2 e^{-} \to Cu ; \Delta G^{0}=-n E^{o} F$

$=-2 \times F \times 0.337=-0.674 F$

$Cu^{+} \to Cu^{2+}+e^{-} ; \Delta G^{0}=-n E^{0} F$

$=-1 \times F \times-0.153=0.153 F$

On adding eqn (i) & (ii)

$Cu^{+}+e^{-} \to Cu$;

$\Delta G^{0}=-0.521 F=-n E^{\circ} F ;$

Here $n=1 \quad \therefore E^{\circ}=+0.52 V$



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