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The standard reduction potentials for $Z n^{2 +} / Z n, N i^{2 +} / N i,$ and $F e^{2 +} / F e$ are $- 0.76, - 0.23$ and $- 0.44 V$ respectively. The reaction $X + Y^{2 +} \to X^{2 +} + Y$ will be spontaneous when :
(AIEEE 2012)

A

X = F e, Y = Z n

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B

X = N i, Y = Z n

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C

X = Z n, Y = N i

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D

X = N i, Y = F e

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Solution

The correct option is C $X = Z n, Y = N i$
For a spontaneous reaction $△ G$ must be $- v e$
Since $△ G = - n F E^{\circ}$
Hence for $△ G$ to be $- v e △ E^{\circ}$ has to be positive.
Which is possible when $X = Z n, Y = N i$
$Z n + N i^{+ +} \to Z n^{+ +} + N i$
$E_{Z n / Z n^{2 +}}^{\circ} + E_{N i^{2 +} / N i}^{\circ}$
$= 0.76 + (- 0.23) = + 0.53$ (positive).

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