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$E_{1}, E_{2}$ and $E_{3}$ are the emf values of the three galvanic cells respectively
$(i) Z n | {Zn}^{2 +} (1 M) ∥ {Cu}^{2 +} (0.1 M) | Cu$
$(ii) Z n | {Zn}^{2 +} (1 M) ∥ {Cu}^{2 +} (1 M) | Cu$
$(iii) Z n | {Zn}^{2 +} (0.1 M) ∥ {Cu}^{2 +} (1 M) | Cu$
Which one of the following is true?

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$E_{2} > E_{3} > E_{1}$

$E_{1} > E_{3} > E_{2}$

$E_{1} > E_{2} > E_{3}$

$E_{3} > E_{2} > E_{1}$

answer is B.

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Detailed Solution

$Zn + C u^{2 +} \to {Zn}^{2 +} + C u$

Thus, higher the value of $[Z n^{2 +}] / [C u^{2 +}],$ lower is the emf of the cell. $\frac{[Z n^{2 +}]}{[C u^{2 +}]}$

for $(i) = \frac{1}{0.1} = 10,$ for $(i i) = \frac{1}{1} = 1,$ for $(i i i) = \frac{0.1}{1} = 0.1$

Hence, $E_{3} > E_{2} > E_{1}$

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