How much magnesium oxide can be obtained by decomposition of magnesium carbonate

How much magnesium oxide can be obtained by decomposition of magnesium carbonate weighing 15 kg, with a mass fraction of impurities of 10%?

The thermal decomposition reaction of magnesium carbonate upon heating is described by the following chemical reaction equation:

MgCO3 = MgO + CO2 ↑;

Let’s calculate the chemical amount of magnesium carbonate. To do this, we divide its weight by the mass of 1 mole of the substance.

M MgCO3 = 24 + 12 + 16 x 3 = 84 grams / mol;

N MgCO3 = 15,000 x 0.9 / 84 = 160.71 mol;

The same molar amount of magnesium oxide can theoretically be obtained.

Let’s find its weight.

M MgO = 24 + 16 = 40 grams / mol;

m MgO = 160.71 x 40 = 6 428 grams = 6.43 kg;