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Q.

Aluminium is manufactured by electrolysis of molten cryolite. In an experiment, passage of 100 amperes of current for 80.4 hours resulted in the deposition of 2.425 kg of Al at cathode. For this experiment (charge on e- = 1.602 ×10-19 C) the correct statement(s) is/are

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a

the current efficiency of the electrolysis is 89.8

b

the weight of aluminium deposited, if current efficiency is 100%, is 2.7 kg

c

the moles of electrons passed through the cell is 3 × 104

d

the charge on aluminium ion in coulombs is 3.2 × 10-19

answer is A, B, C.

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Detailed Solution

(1)  Coulombs passed =80.4×3600×100=2.8944×107

 Weight of Al to be deposited =2.8944×107×273×965×102=2700g=2.7kgs

 Current efficiency =2.4252.7×100=89.8

(2) If current efficiency is 100% ,weight of Al deposited = 2.7 kg.

(3)  Moles of e¯ passed through the cell =2.8944×10796,500=3×104

1 mole of e¯=6×1023 e¯

(4) Electronic charge = 1.6 × 10-19 C. Since there are three +ve charges on Al3+ ion, charge on Al3+ = 3 × 1.6 × 10-19 = 4.8 × 10-19C.

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