In producing chlorine by electrolysis $100 \mathrm{~kW}$ power at $125 \mathrm{~V}$ is being consumed. How…

In producing chlorine by electrolysis $100 \mathrm{~kW}$ power at $125 \mathrm{~V}$ is being consumed. How much chlorine per minute is liberated (ECE of chlorine is $0.367 \times 10^{-6} \mathrm{kgC}^{-1}$ )
  1. $1.76 \times 10^{-3} \mathrm{~kg}$
  2. $9.67 \times 10^{-3} \mathrm{~kg}$
  3. $17.61 \times 10^{-3} \mathrm{~kg}$
  4. $3.67 \times 10^{-3} \mathrm{~kg}$

Solution

Mass of the substance deposited at the cathode $\begin{aligned} \mathrm{m} & =\mathrm{zlt} \\ & =\mathrm{z}\left(\frac{\mathrm{W}}{\mathrm{V}}\right) \mathrm{t} \\ & =0.367 \times 10^{-6} \times \frac{100 \times 10^3}{125} \times 60 \\ & =17.6 \times 10^{-3} \mathrm{~kg} \end{aligned}$

Asked in: NEET 2010 (Screening)

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