HARDMCQ SINGLEJEE Mains ChemistryPhysical ChemistryElectrochemistryAchiever Section

On the basis of information available from the reaction 4Al + 3O₂ →2Al₂O₃; ∆G = – 965 kJ/mol of O₂.The minimum EMF required to carry out electrolysis of Al₂O₃ is

A.0.833 V
B.2.5 V✓ Correct
C.5.0 V
D.1.67 V
Explanation

Given ∆G = – 965 kJ/mol = – 965000 J/mol of O₂ Therefore, number of electrons, n = 2 × 2 = 4 F = 965000 C/mol Balancing both anodic and cathodic half half cell, Anode : [Al₃ → Al + 3e–] × 4 Cathode : [2O₂– + 4e– → O₂] × 3 Net reaction : 4Al + 6O₂– → 3O₂ + 4Al Or 4/3Al + 2O₂– → O₂ + 4/3Al We know that, ∆G = – nFE –965000 = – 4 × 96500 × E E = 2.5 V

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