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Q. Suppose that gold is being plated on to another metal in an electrolytic cell. The half-cell reaction producing the $Au ( s )$ is $AuCl _{4}{ }^{-} \rightarrow Au (s)+4 Cl ^{-}-3 e^{-}$ If a $0.30\, A$ current runs for $15.00\, \min$, what mass of $Au (s)$ will be plated, assuming all the electrons are used in the reduction of $AuCl _{4}^{-}$? The Faraday constant is $96485\, C / mol$ and molar mass of $Au$ is $197$ .

ManipalManipal 2014Electrochemistry

Solution:

Mass of $Au$ deposited $=$ Number of Faraday passed $\times$ Eq. mass
$=\frac{0.30 \times 15 \times 60}{96485} \times \frac{197}{3}$
$=0.184\, g$