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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 follows
`(2)/(3)A1_(2)O_(3)to (4)/(3) Al+O_(2), Delta_(r) G = + 966KJmol^(-1)`
The potential difference needed for electrolytic reduction of `Al_(2)O_(3)` at `500^(@)` is at least :

A

5.0V

B

4.5V

C

3.0V

D

2.5V

Text Solution

Verified by Experts

The correct Answer is:
D

`DeltaG=-nE^(o)F,n=4,F=96500cb`
`E^(0)=-(966xx1000)/(4xx96500)=-2.5V`
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