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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=+"960 kJ.mol"^(-1)`. The potential difference needed for the electrolytic reduction of aluminium oxide `(Al_(2)O_(3))` at `500^(@)C` is at least -

A

3.0V

B

2..5V

C

5.0V

D

4.5V

Text Solution

Verified by Experts

The correct Answer is:
B
`DeltaG=-mFE or, E=(DeltaG)/(nF)`
`therefore E=-(960xx10^(3))/(4xx96500)=2.5V`
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