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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

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
`Delta G=nFE_("Cell")`
`960xx1000 J=4xx96500xxE_("Cell")`
`therefore E_("Cell")=2.5 V`
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