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Question

Aluminium oxide may be electrolysed at 1000oC to furnish aluminium metal. The cathode reaction is Al3++3eAl. To prepare 5.12 kg of aluminium metal by this method would require:

A
5.49×101 C of electricity
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B
5.49×104 C of electricity
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C
1.83×107 C of electricity
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D
5.49×107 C of electricity
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Solution

The correct option is C 5.49×107 C of electricity
Mass of Al deposited =5.12 kg=5.12×103gm
Mass of Al deposited =Q(C)96500Cmole× mole ratio× molar mass .
Substituting the mass of Al deposited in the above equation:

5.12×103g=Q(C)96500Cmole×1molAl3mole×27gmol
Q(C)=5.49×107C.

Hence, option D is correct.

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