Electrochemistry - Result Question 37
####39. If the $E^{\circ}$ cell for a given reaction has a negative value, then which of the following gives the correct relationships for the values of $\Delta G^{\circ}$ and $K _{\text{eq }}$ ?
[2011]
(a) $\Delta G^{\circ}>0 ; K _{\text{eq }}>1$
(b) $\Delta G^{\circ}<0 ; K _{\text{eq }}>1$
(c) $\Delta G^{\circ}<0 ; K _{\text{eq }}<1$
(d) $\Delta G^{\circ}>0 ; K _{\text{eq }}<1$
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Solution:
- (d) Standard Gibbs free energy is given as $\Delta G^{\circ}=-n E^{\circ} F$
If $E^{\circ} _{\text{cell }}<0$ i.e. $-v e$
$\Delta G^{\circ}>0$
Further $\Delta G^{\circ}=-R T \ln K _{e q}$
$\Delta G^{\circ}>0$ when $K _{e q}<1$
