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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

`5.49xx10^(7)C` of electricity

B

`1.83xx10^(7)C` of electricity

C

`5.49xx10^(4)C` of electricity

D

`5,49xx10^(1)C` of electricity

Text Solution

Verified by Experts

The correct Answer is:
A
27 gm of Al is obtained by passing a current of
`3xx96500C`
`because` gm of Al is obtained by passing a current of `3xx(96500)/(27)C`.
`therefore5.12xx10^(3)gm` of Al is obtained by passing a current of `3xx(96500)/(27)xx5.12xx1000`
`=1.83xx10^(7)Cxx3=5.49xx10^(7)C`.
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Aluminium oxide may be electrolysed at 1000^(@) C to furnish aluminium metal (Atomic mass = 27 amu, 1 Faraday = 96500 Coulomb). The cathode reaction is Al^(3+) + 3e^(-) rightarrow Al . To prepare 5.12 kg of aluminium metal by this method would require:

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