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Concentration Terms - An Introduction (w/w etc)

How many gram...

Question

How many grams of $C r$ are deposited in the electrolysis of a solution of $C r (N O_{3})_{3}$ in the same time that it takes to deposit $0.54 g$ of $A g$ in a silver coulometer arranged in series with the $C r (N O_{3})_{3}$ cell?
(Given your answe upto two decimal)
(Atomic weight: $C r = 52.0 u; A g = 108 u$ )

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Solution

According to Faraday’s second law-
$W \propto E$
$∴ \frac{w_{A g}}{w_{c r}} = \frac{E_{A g}}{E_{C r}} . . . . . (i)$
Now, $A g^{+} + e^{-} \to A g$
$∴$ Equivalent weight of Ag, $E_{A g}$
$= \frac{Atomiuc mass of Ag}{Number of e^{-} gain or loss}$
$= \frac{108}{1} = 108$
For, $C r^{+ 3} + 3 e^{-} \to C r$
Equivalent weight of Cr, $E_{C r}$
$= \frac{Atomic mass of Cr}{Number of e^{-} gain or loss}$
$= \frac{52}{3}$
Putting the values in eq (i);
$\frac{0.54}{w_{c r}} = \frac{108}{\frac{52}{3}}$
$∴ W c r = \frac{52 \times 0.54}{3 \times 108} = 0.0866 g$

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Concentration Terms - An Introduction (w/w etc)

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