Calculate the mass of zinc obtained by the aluminothermal method from 108 kg

Calculate the mass of zinc obtained by the aluminothermal method from 108 kg of zinc oxide if the mass fraction of the reaction product yield is 92%.

Let’s implement the solution:

Let’s compose the equation of the process according to the condition of the problem:
3ZnO + 2Al = 3Zn + Al2O3 – OBP, zinc obtained;

Calculations by formulas:
M (ZnO) = 81.3 g / mol;

M (Zn) = 65.3 g / mol;

Y (ZnO) = m / M = 108 / 81.3 = 1.3 mol;

Y (Zn) = 1.3 mol since the amount of substances is equal to 3 mol.

Find the mass of the metal:
m (Zn) = y * M = 1.3 * 65.3 = 84.89 g (theoretical weight);

m (Zn) = 0.92 * 84.89 = 78.09 g (practical weight).

Answer: the mass of zinc is 78.09 g