Q.

The Gibbs energy for the decomposition of Al2O3 at 500oC is as follows         23Al2O3⟶43Al+O2;ΔrG=+960kJmol−1The potential difference needed for the electrolytic reduction of aluminium oxide (Al2O2) at 500oC is atleast

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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

4Al3+⟶4Al+12e- 12e−+6O2−⟶3O2or    43Al3+⟶43Al+4e−4e−+2O2−⟶O2ΔG∘=−nFE∘ΔG=+960kJmol−1=960×1000Jmol−1+    n=4F=4×96500C∴ 960×1000=−4×96500×E∘E∘=−9600004×96500=−2.48VPotential difference = 2.5 V
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