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Aluminium oxide may be electrolysed at 1...

Aluminium oxide may be electrolysed at `1000^(@)C` to furnish aluminium metal (Atomic mass=27u, 1F=96500C). The cathode reaction is
`Al^(3+)+3e^(-)toAl^(0)`
To prepare 5.12 kg of aluminium metal by this method would require

A

`5.49xx10^(4)C` of electricity

B

`5.49xx10^(1)C` of electricity

C

`5.49xx10^(7)C` of electricity

D

`1.83xx10^(7)C` of electricity.

Text Solution

Verified by Experts

The correct Answer is:
C

`Al^(3+)+3e^(-)rarrAl`
`3xx96500 27g`
To produce 27g of Al, electricity required
`=3xx96500C`
`therefore` To produce 5.12kg of Al, electricity required
`=(3xx96500)/(27)xx5.12xx10^(3)C`
`=5489.78xx10^(3)C=5.49xx10^(7) C`
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