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Question

During the electrolysis of molten sodium chloride, the time to produce 0.10 mol of chlorine gas using a current of 3 amperes is

A
55 minutes
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B
110 minutes
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C
220 minutes
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D
330 minutes
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Solution

The correct option is B 110 minutes
During the electrolysis of molten sodium chloride,
At cathode: 2Na++2e2Na
At anode: 2ClCl2+2e
(Net reaction:2Na++2Cl2Na+Cl2)
According to Faraday’s first law of electrolysis,
w=Z×I×t
w=E96500×I×t
No of moles of Cl2 gas × Mol.wt.of Cl2 gas
=Eq.wt.of Cl2 gas×I×t96500
0.10×71=35.5×3×t96500
t=0.10×71×9650035.5×3=6433.33 sec
t=6433.3360 min=107.22 min110 min

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