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Question

An aqueous solution of sodium chloride on electroysis gives H2(g),Cl2(g) and NaOH according to the reaction:
2Cl(aq.)+2H2O2OH(aq.)+H2(g)+Cl2(g)
A direct current of 25 ampere with a current efficiency 62% is passed through 20 L of NaCl solution (20% by mass). Write down the reactions taking place at the anode and cathode. How long will it take to produce 1 kg of Cl2? Assume no loss due to evaporation.

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Solution

Reactions at anode and cathode are:
2ClCl2+2e (at anode)
2H2O+2eH2+2OH (at cathode)
1 kg of Cl2=100071.0=14.08 mole
Charge to produce one mole of Cl2=2×96500 coulomb
Charge to produce 14.08 mole of Cl2=2×96500×14.08 coulomb
Effective current =62100×25.0=15.5 ampere
Time=ChargeCurrent=2×96500×14.0815.5
175318.7 second=48.699 hour
OH ions produced =2×moles of Cl2
=3×14.08=28.16 mole
Molarity=MoleVolume=28.1620=1.408 M.

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