JEE Advanced levelSingle correct optionDifficulty 3 of 3pb048
In the Hall-Heroult cell, a current of 100A is passed for 9650s with 100% current efficiency. Al is deposited at the cathode (AlX3++3eX−Al), and the graphite anode is oxidised only to COX2 (C+2OX2−COX2+4eX−). With F=96500C/mol, Al=27, C=12, the masses of Al deposited and carbon consumed are respectively
A90g and 30g
B30g and 30g
C90g and 15g
D90g and 60g
Answer: A
Q=100×9650=9.65×105C, so n(e−)=10mol. Al: 10/3mol×27=90g. Carbon: 4 mol e− per mol C, so 10/4=2.5mol C =30g. (If CO were formed, 2 e− per C would give 60g.)