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Q. Three Faradays of electricity are passed through molten $Al _{2} O _{3}$, aqueous solution of $CuSO _{4}$ and molten $NaCl$ taken in three different electrolytic cells. Then the mole ratio of $A l, C u$ and $N a$ deposited on the cathode will be

J & K CETJ & K CET 2011Electrochemistry

Solution:

$\because A l^{3+}+3 e^{-} \rightarrow A l$
$\therefore 3 F$ of electricity will deposite $1$ mole of $AI$.
$\because C u^{2+}+2 e^{-} \rightarrow C u$
$\therefore 3 F$ of electricity will deposite $1.5$ mole of $Cu$.
$\because N a^{+}+e^{-} \rightarrow N a$
$\therefore 3 F$ of electricity will deposite $3$ mole of $Na$.
Hence, the mole ratio of $Al, Cu$ and $Na$ deposited on the cathode will be $1: 1.5: 3$ or $2: 3: 6$.