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In producing chlorine by electrolysis 100 kW power at 125 V is being consumed. How much chlorine per minute is liberated? (E.C.E. of chlorine is 0.367×10⁻⁶ kg/C)

1. 1.76×10⁻³ kg
2. 9.67×10⁻³ kg
3. 17.61×10⁻³ kg
4. 3.67×10⁻³ kg

Correct answer: 17.61×10⁻³ kg

Solution

The power is given as 100 kW and voltage as 125 V. Using P = VI, the current I = P/V = (100 × 10³) / 125 = 800 A. The charge passed in 1 minute is Q = I × t = 800 × 60 = 48000 C. The mass of chlorine liberated is m = E.C.E × Q = 0.367 × 10⁻⁶ × 48000 = 17.61 × 10⁻³ kg.

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