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The Gibbs energy for the decomposition o...

The Gibbs energy for the decomposition of `Al_2O_3` at `500^@C` is as follows :
`2//3Al_2O_3 to 4/3Al+ O_2 , Delta_r G`=+966 kJ/mol. The potential difference needed for electrolytic reduction of `Al_2O_3` at `500^@` C 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 =- nFE :. E = (-DeltaG)/(nF)`
`E = (-966 xx 103)/(4 xx 96500) =- 0.25`
`:.` The potential difference needed for the reduction `= 2.5V`
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