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Chemistry Question on Galvanic Cells

Which of the following relation represents correct relation between standard electrode potential and equilibrium constant? ?. log⁡K=nFE∘2.303RT\log K=\frac{n F E^{\circ}}{2.303 R T} II. K=enFE∘RTK=e^{\frac{n F E^{\circ}}{R T}} III. log⁡K=−nFE∘2.303RT\log K=\frac{-n F E^{\circ}}{2.303 R T} IV. log⁡K=0.4342nFE∘RT\log K=0.4342 \frac{n F E^{\circ}}{R T} Choose the correct statement(s).

A

I, II and III are correct

B

II and III are correct

C

I, II and IV are correct

D

I and IV are correct

Answer

I, II and IV are correct

Explanation

Solution

ΔG=−2.303RTlog⁡K,\Delta G=-2.303 R T \log K,
−nFR∘=−2.303RTlog⁡K-n F R^{\circ}=-2.303 R T \log K
log⁡K=nFE∘2.303RT\log K=\frac{n F E^{\circ}}{2.303 R T}
=0.4342nFE∘RT...(v)=0.4342 \frac{n F E^{\circ}}{R T} . . .( v )
In K=nFE∘RTK=\frac{n F E^{\circ}}{R T}
K=−nFE∘eRT…K=\frac{-n F E^{\circ}}{e^{R T}} \ldots (ii)