Q. If 10 A deposits 10.8 g of silver in 25 min, how much copper would deposit when 9 A current flows for 20 min.?

A) 3.81 g
B) 6.35 g
C) 10.1 g
D) 12.7 g
Explanation

(a) For applying Faraday’s second law of electrolysis the same charge should be passed through copper and silver voltmeters.
Charge passed to liberate copper
$= 9 \times 20 \times 60 = 10800$ C
Charge passed to liberate silver
$\ = 10 \times 15 \times 50 = 9000$ C
As 9000 C charge liberates 10.8 g of Ag.
So 10800 C charge liberates
$\ = \frac{10.8 \times 10800}{9000} = 10.8 \times 1.2$ g of Ag.
Using Faraday’s second law of electrolysis
$\ \frac{m_{Cu}}{m_{Ag}} = \frac{E_{Cu}}{E_{Ag}} = \frac{63.5/2}{108/1}$
or $m_{Cu} = \frac{63.5 \times 10.8 \times 1.2}{2 \times 108} = 3.81$ g.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.