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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

`-2.5 V`

B

`5.0 V`

C

`4.5 V`

D

`3.0 V`

Text Solution

Verified by Experts

The correct Answer is:
A
In the given reaction ,
`2/3 [2Al^(3+)]+4e rarr 4/3 Al" "(n=4)`
`:. DeltaG=-nFE`
`E=-(DeltaG)/(nF)=-(966xx1000)/(4xx96500)`
`=-2.5 V`
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