Q.

A well stirred (1 L) solution of 0.1 M CuSO4 is electrolysed at 25°C using copper electrodes with a current of 25 mA for 6 hours. If current efficiency is 50%. At the end of the duration what would be the concentration of copper ions in the solution?

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a

0.0986

b

0.986

c

1

d

2

answer is A.

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Detailed Solution

According to the Faraday's law of electrolysis, 

w = EitF

where w is the weight deposited, E is the chemical equivalent and i is the current.

w = 63.52×96500×25×10-3×6×3600×12

⇒ w = 0.089 g

So, Moles deposited =1.398 milimoles

Initial moles of CuSO4 ​= M×V = 1×0.1 = 0.1 moles = 100 millimoles
∴ Remaining moles of Cu2+ = 98.6 milimoles

So, The Concentration of Cu2+98.61×1000 = 0.0986 M 
 

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