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Mechanical Properties Of Fluids

Question
CBSEENPH11020785

In producing chlorine through electrolysis 100 W power at 125 V is being consumed. How much chlorine per min is liberated? ECE of chlorine is 0.367 x 10-6 kg/C

  • 17.6 mg

  • 21.3 mg

  • 24.3 mg

  • 13.6 mg

Solution

A.

17.6 mg

The mass of a substance deposited or liberated at an electrode is directly proportional to the quantity of electricity i.e., charge passed through the electrolyte.
Power consumed in electrolysis, P = 100 W
Voltage applied,  V = 125 V
So, current in the solution,
               straight i space equals space straight P over straight V equals space 100 over 125 space equals space 0.8 space straight A
According to first law of Faraday, mass liberated at an electrode is directly proportional to charge passed through the electrolyte i.e.,
  straight m proportional to straight Q space rightwards double arrow space space straight m space equals space zQ
where z is a constant called 'electro chemical equivalent' (ECE). 
Also,           Q = it
therefore space space space space straight m space equals space zit
Given,
straight z equals 0.367 space cross times space 10 to the power of negative 6 end exponent space kg divided by straight C comma space space straight I space equals space 0.8 space straight A comma space space straight t space equals space 60 straight s
space space space
Hence comma space space straight m space equals space 0.367 space cross times space 10 to the power of negative 6 end exponent space cross times space 0.8 space cross times space 60
space space space space space space space space space space space space space space space space equals space 17.6 space cross times space 10 to the power of negative 6 end exponent kg
space space space space space space space space space space space space space space space space equals space 17.6 space mg