JEE Advanced levelSingle correct optionDifficulty 3 of 3mt219
500 kg of bauxite contains 60.0% AlX2OX3. The Baeyer leaching step recovers 85.0% of the alumina as pure AlX2OX3, and electrolysis in the Hall-Heroult cell converts 92.0% of that alumina to aluminium. Taking Al = 27 and O = 16, the mass of aluminium obtained is
A135.0 kg
B158.8 kg
C124.2 kg
D146.1 kg
Answer: C
AlX2OX3 in ore = 0.600 x 500 = 300 kg; recovered = 0.850 x 300 = 255 kg. Al2O3 = 102 g/mol holds 54 g Al, so Al = 255 x 54/102 = 135.0 kg. At 92.0% yield: 124.2 kg.