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The Gibbs energy for the decomposition o...

The Gibbs energy for the decomposition of `Al_(2)O_(3)` at `500^(@)C` is as follow :
`(2)/(3)Al_(2)O_(3) rarr (4)/(3)Al+O_(2), Delta_(r)G= +960 kJ mol^(-1)`
The potential difference needed for the electrolytic reduction of aluminium oxide `(Al_(2)O_(3))` at `500^(@)C` is

A

3.0 V

B

2.5 V

C

5.0 V

D

4.5 V

Text Solution

Verified by Experts

The correct Answer is:
B
`DeltaG^(@)=-nFE^(@)`
`960xx100=-4xx96500xxE^(@)`
`E^(@)=-2.48V`
So difference = 2.5 V
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Aluminium oxide, Al_(2)O_(3) is

The Gibbs energy for the decomposition of Al_(2)O_(3) at 500^(@)C is as follows: (2)/(3)Al_(2)O_(3) rarr (4)/(3)Al + O_(2), Delta_(r)G = +966kJ mol^(-1) The potential difference needed for electrolytic reeduction of Al_(2)O_(3) at 500^(@)C is at least:

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