Question

The mineral bauxite, which is mostly Al2O3, is the principal industrial source of aluminum metal. How much aluminum can be produced from 4.50 ton of Al2O3

Answer 1

Since we know that

Molar mass of \(\mathrm{Al} 2 \mathrm{O} 3=101.96 \mathrm{~g} / \mathrm{mol}\)

The molar mass of \(\mathrm{Al}=26.98 \mathrm{~g} / \mathrm{mol}\)

1 mole of \(\mathrm{Al} 2 \mathrm{O} 3\) produces 2 moles of \(\mathrm{Al}\)

\(101.96 \mathrm{~g}\) of \(\mathrm{Al} 2 \mathrm{O} 3\) produces \(2 \times 26.98=53.96 \mathrm{~g}\) of \(\mathrm{Al}\)

Since we know that

\(1 \mathrm{~g}=1.102 \times 10^{-6}\) tons

then

\(101.96 \times 1.102 \times 10^{-6}\) tons of \(\mathrm{Al} 2 \mathrm{O} 3\) produces \(53.96 \times 1.102 \times 10^{-6}\) tons of \(\mathrm{Al}\)

4.50 tons of \(\mathrm{A} 12 \mathrm{O} 3\) produce \(\left(4.50 /\left(101.96 \times 1.102 \times 10^{-6}\right)\right) \times\left(53.96 \times 1.102 \times 10^{-6}\right)\)

\(=2.38\) tons of Al Answer