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Question

A cell reaction would be spontaneous if the cell potential and $$ \Delta_{r} G $$ are respectively:

A
positive and negative
B
negative , negative
C
zero ,zero
D
positive , zero
Solution
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Correct option is A. positive and negative

For a spontaneous reaction, the standard change in gibbs free energy $$\Delta G^{\circ}$$ and the standard cell potential Ecell will be negative and positive respectively. $$\Delta G^{\circ}<0$$ then $$E_{\text {cell }}^{\circ}>0$$ as $$\Delta C^{\circ}=-n F E_{\text {cele }}^{\circ}$$
Thus, $$\Delta \mathrm{G}^{\circ}$$ and $$\Delta \mathrm{E}_{\text {cell }}^{\circ}$$ have of opposite signs.
So, option A. is the correct answer.

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