A certain quantity of electricity when passed through solution of ${A g N O}_{3}$ , ${Z n S O}_{4}$ , ${C r I}_{3}$ . If X moles of Cr are deposited at its cathode, how many moles of Ag and Zn are deposited at their respective cathodes.

X, X

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3X, 2X

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3X, 1.5X

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none of these

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Solution

The correct option is D 3X, 1.5X
$A g^{+} + e^{-} ⟶ A g$
$Z n^{2 +} + 2 e^{-} ⟶ Z n$
$C r^{3 +} + 3 e^{-} ⟶ C r$
Given that $x$ moles of $C r$ is deposited at it's cathode means in case of $A g$ it will be $3 X$ and for $Z n$ it will be $\frac{3 X}{2}$ moles deposits at cathode.

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