JEE Main2013ChemistryElectrochemistryActual
The Gibbs energy for the decomposition of Al ₂ O ₃ at 500 ~C is as follows : 2 3 Al ₂ O ₃ 4 3 Al + O ₂, _r G=+940 ~kJ ~mol ⁻¹ The potential difference needed for the electrolytic reduction of aluminium oxide at 500^ C should be at least :
Options
- A4.5 ~V
- B3.0 ~V
- C5.0 ~V
- D2.5 ~V
Correct answer
B. 3.0 ~V
Step-by-step solution
In the reaction 2 3 Al ₂ O ₃ 4 3 Al + O ₂ For the oxidation half-reaction Al ³⁺+3 e ⁻ Al no. of electron transfered (n)=3 aligned & G ^ =-n FE ^ & 940=3 96500 E ^ aligned aligned E ^ & = 940 10^3 ~J 3 96500 & =3.24 3 ~V aligned