In producing chlorine by electrolysis 100 kWpower at 125 V is being co...
E.C.E. = 0.367 × 10–6 kg C–1
Charge per minute = (I × 60) C
∴ Mass liberated
= 17.616 × 10–3 kg
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In producing chlorine by electrolysis 100 kWpower at 125 V is being co...
Calculation:
Given:
Power = 100 kW = 100,000 W
Voltage = 125 V
Charge of 1 mole of electrons (1 F) = 96500 C
E.C.E. of chlorine = 0.367 × 10⁻⁶ kg / C
Step 1: Calculate the charge consumed
Power (P) = Voltage (V) × Current (I)
Current (I) = P / V = 100,000 W / 125 V = 800 A
Step 2: Calculate the charge consumed per second
Charge (Q) = Current (I) × Time (t)
As power is given in kW and we need to find the amount per minute, convert time to seconds.
Time (t) = 1 minute = 60 seconds
Charge per second = 800 A × 60 s = 48,000 C
Step 3: Calculate the amount of chlorine liberated per second
Amount of chlorine liberated per second = E.C.E. of chlorine × Charge per second
= 0.367 × 10⁻⁶ kg / C × 48,000 C
= 17.616 × 10⁻³ kg
Step 4: Calculate the amount of chlorine liberated per minute
Amount of chlorine liberated per minute = Amount per second × 60
= 17.616 × 10⁻³ kg/s × 60 s
= 17.616 × 10⁻³ kg/min
= 17.61 × 10⁻³ kg/min
Therefore, the amount of chlorine liberated per minute is 17.61 × 10⁻³ kg, which is option C.