Which of the following expressions regarding the electrolysis of an electrolytic solution is represented correctly?

m = \frac{Q F}{n M}

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m = \frac{Q M}{n F}

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m = \frac{I t F}{n M}

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m = \frac{I t n}{M F}

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Solution

The correct option is B $m = \frac{Q M}{n F}$
From Faraday's second law of electrolyte:
$The mass of substance deposited on cathode/anode, m = z \times I \times t$
Where,
$z = Electrochemical equivalence$
$I = Current passed$
$t = Time period$

$z = \frac{(\frac{M}{n - f a c t o r})}{F}$
Where,
$M = Molar mass$
$n - f a c t o r = No. of electrons lost or gained during electrolysis$
$F = Faraday's constant$
$\Rightarrow m = \frac{(\frac{M}{n - f a c t o r})}{F} \times I \times t$
$\Rightarrow m = \frac{M Q}{n F} (Q = I \times t)$

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