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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)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:

A

`4.5` V

B

`3.0` V

C

`2.5` V

D

`5.0` V

Text Solution

Verified by Experts

The correct Answer is:
C
`DeltaG=-nFE,E=(DeltaG)/(nF)=(966xx10^(3))/(4xx96500)=+2.5V`
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