Question

In producing chlorine through electrolysis 100 W power at 125 V is being consumed. How much chlorine per min is liberated? Electro chemical equivalent of chlorine is $0.367\,\times {{10}^{-6}}\,kg/C$ .

• A. 17.6mg
• B. 21.3 mg
• C. 24.3mg
• D. 13.6 mg

Answer 1

Answer: (A)

17.6mg

Answer 2

Power consumed in electrolysis, P = 100 W Voltage applied, V=125V So, current in the solution, $i=\frac{P}{V}=\frac{100}{125}=0.8\,\text{A}$ According to first law of Faraday, mass liberated at an electrode is directly proportional to charge passed through the electrolyte ie, $m\propto Q$ $\Rightarrow$ $m=z\,Q$ where z is a constant called electro chemical equivalent (ECE). Also $Q=i\,t$ $\therefore$ $m=z\,it$ Given, $z=0.367\times {{10}^{-6}}kg\,C,I=0.8A,t=60\,s$ Hence, $m=0.367\times {{10}^{-6}}\times 0.8\times 60$ $=17.6\times {{10}^{-6}}\,kg$ $=17.6\,mg$