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