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JEE Advanced levelSingle correct optionDifficulty 3 of 3mt219

500 kg of bauxite contains 60.0% . The Baeyer leaching step recovers 85.0% of the alumina as pure , 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

  1. A135.0 kg
  2. B158.8 kg
  3. C124.2 kg
  4. D146.1 kg

Answer: C

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.
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