Question

how many grams of aluminum can be produced from 75 moles of aluminum oxide

Answer 1

In industry, aluminium is produced from aluminium oxide Al₂O₃ in the Bayer process. According to the chemical formula of the oxide, each molecule of Al₂O₃ contains 2 atoms of aluminium. Therefore, 1 mole of Al₂O₃ contains 2 moles of aluminium:

${n(Al)} = 2·n({Al_2O_3}) = 2·75=150$ mol.

The mass can be calculated as the number of the moles times the molar mass ($M(Al) = 26.98$ g/mol):

$m(Al) = n(Al)·M(Al) = 150·26.98 = 4047$ g, or 4.047 kg.

Answer: 4047 g of aluminium can be produced from 75 moles of aluminium oxide Al₂O₃.