Q.

The Gibbs energy for the decomposition of Al2O3 at 500oC is as follows 23Al2O3→43Al+O2           ΔrG=+966 kJ mol−1The potential difference needed for electrolytic reduction of Al2O3 at 500oC is at least

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a

4.5 V

b

3.0 V

c

2.5 V

d

5.0 V

answer is C.

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Detailed Solution

23Al2O3→43Al+O2Thus, 23×3(O2−)i.e., 2O2−→O2+4e−[∵ n=4]ΔG=+966 kJ mol−1=966×103 J mol−1ΔG=−nFEcell966×103=−4×96500×EcellEcell=2.5 V
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The Gibbs energy for the decomposition of Al2O3 at 500oC is as follows 23Al2O3→43Al+O2           ΔrG=+966 kJ mol−1The potential difference needed for electrolytic reduction of Al2O3 at 500oC is at least