What mass of calcium oxide can be obtained by calcining 1250 kg of limestone containing 20% impurities?

The limestone decomposition reaction is described by the following chemical reaction equation:

CaCO3 = CaO + CO2;

The decomposition of 1 mol of limestone synthesizes 1 mol of gaseous carbon dioxide.

This also synthesizes 1 mol of calcium oxide

Let’s calculate the available chemical amount of calcium carbonate substance.

M CaCO3 = 40 + 12 + 16 x 3 = 100 grams / mol;

N CaCO3 = 1 250 000 x 0.8 / 100 = 10 000 mol;

During the reaction, the same amount of calcium oxide will be synthesized.

N CaO = 10,000 mol;

Its weight will be:

M CaO = 40 + 16 = 56 grams / mol;

m CaO = 56 x 10,000 = 560 kg;