Electrochemistry - Result Question 10

10. Two Faraday of electricity is passed through a solution of $CuSO _4$. The mass of copper deposited at the cathode is (at. mass of $Cu=63.5 u$ )

(2015 Main)

(a) $0 $ $g$

(b) $63.5 $ $g$

(c) $2 $ $g$

(d) $127 $ $g$

Show Answer

Answer:

Correct Answer: 10. (b)

Solution:

  1. Given, $Q=2 F$

Atomic mass of $Cu=63.5 u$

Valency of the metal $Z=2$

We have, $\quad CuSO _4 \longrightarrow Cu^{2+}+SO _4^{2-}$

$ \underset{\substack{1 \mathrm{~mol}}}{\mathrm{Cu}^{2+}}+\underset{\substack{2 \mathrm{~mol} \\ 2 F}}{2 e^{-}} \longrightarrow \underset{1 \mathrm{~mol}=63.5 \mathrm{~g}}{\mathrm{Cu}} $

Alternatively.

$ W=Z Q=\frac{E}{F} \cdot 2 F=2 E=\frac{2 \times 63.5}{2}=63.5 $