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Q. $\Delta G ^{0}$ for the reaction, $Cu ^{2+}+ Fe \rightarrow Fe ^{2+}+ Cu$ is: [given: $\left. E _{ Cu ^{2+} / Cu }^{0}=+0.34\, V , E _{ Fe ^{2+} / Fe }^{0}=-0.44 \,V \right]$

Electrochemistry

Solution:

$E _{\text {cell }}^{0}= E _{ Cu ^{2+} / Cu }^{0}- E _{ Fe ^{2+} / Fe }^{0}$
$=0.34-(-0.44)=0.78$
$ \Delta G ^{0}=- n FE _{\text {cell }}^{0}$
$=-2 \times 96500 \times 0.78$
$ =150540 \,J$
$ =-150.5 \,KJ$