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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

`5.0V`

B

`4.5 V`

C

`3.0V`

D

`2.5 V`

Text Solution

Verified by Experts

The correct Answer is:
D
`DeltaG =-nE^@F,n= 4 ,F=96500cb`
`E^@ = (966 xx1000)/(4 xx96500)=-2.5V`
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