Aqueous copper sulphate solution and aqueous silver nitrate solution are electrolysed by $1 \ A$ current for $10 \ minutes$ in separate electrolytic cells. Will the mass of copper and silver deposited on the cathode be same or different? Explain your answer.

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(B) The mass of copper and silver deposited will be different.
According to Faraday's second law of electrolysis,the mass $(m)$ of a substance deposited is given by $m = \frac{M \times I \times t}{n \times F}$,where $M$ is the molar mass,$I$ is the current,$t$ is the time,$n$ is the number of electrons involved in the reduction,and $F$ is Faraday's constant.
For $Ag^+$: $Ag^+ + e^- \rightarrow Ag$,so $n = 1$.
For $Cu^{2+}$: $Cu^{2+} + 2e^- \rightarrow Cu$,so $n = 2$.
Since the equivalent weights $(M/n)$ of $Cu$ $(63.5/2 = 31.75 \ g/mol)$ and $Ag$ $(107.8/1 = 107.8 \ g/mol)$ are different,the masses deposited will be different even when the same quantity of electricity $(Q = I \times t)$ is passed.

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