The mass of limestone (calcium carbonate) with impurities is 80 grams. Mass fraction of impurities 10%.

The mass of limestone (calcium carbonate) with impurities is 80 grams. Mass fraction of impurities 10%. What is the volume and quantity of the gas substance obtained by the reaction of limestone with hydrochloric acid?

When calcium carbonate reacts with hydrochloric acid, calcium chloride, water and gaseous carbon dioxide are produced. The reaction is described by the following equation:

CaCO3 + 2HCl = CaCl2 + CO2 ↑ + H2O;

Let’s calculate the molar amount of calcium carbonate. For this purpose, we divide its weight by its molar mass.

M CaCO3 = 40 + 12 + 16 x 3 = 100 grams / mol; N CaCO3 = 80 x 0.9 / 100 = 0.72 mol;

0.72 mol of calcium carbonate will react with 0.72 x 2 = 1.44 mol of hydrochloric acid. This will release 0.72 mol of carbon dioxide.

Let’s calculate the volume that it occupies. To do this, multiply the amount of substance by the volume of 1 mole of gas (filling 22.4 liters).

V CO2 = 0.72 x 22.4 = 16.128 liters