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Aluminium oxide may be electorlysed at 1...

Aluminium oxide may be electorlysed at `1000^@C` to furnish aluminim metal (Atomic Mass `= 27 ` amu, `1 F = 96, 500 C)`. The cathode reaction is
`Al^3 + 3d^(-) rarr Al^@`
To prepare ` 5.12 kg` of aluminimu metal by this method woold require .

A

`5.49 xx 10^(4)C` of electric charge

B

`5.49 xx 10^(1)C` of electric charge

C

`5.49 xx 10^(7)C` of electric charge

D

`1.83 xx 10^(7)C` of electric charge

Text Solution

Verified by Experts

The correct Answer is:
C
`(W)/(E) =(Q)/(F)`
`(5.12 xx 10^(3))/(9) =(Q)/(96500)`
`Q = (5.12 xx 10^(3) xx 96500)/(9) = 5.49 xx 10^(7)C`
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