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The mass of carbon anode consumed (giving only carbon dioxide) in the production of 270 kg of aluminium metal from bauxite by the Hall process is (Atomic mass: Al = 27):

1. 270 kg
2. 540 kg
3. 90 kg
4. 180 kg

Correct answer: 180 kg

Solution

In the Hall process, 2 moles of Al are produced for every 3 moles of carbon consumed. The molar mass of Al is 27 g/mol, so 270 kg of Al corresponds to 10,000 moles. Using the stoichiometric ratio, 15,000 moles of carbon are consumed, which equals 180 kg (molar mass of C = 12 g/mol).

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