Calculate the volume of gas evolved if 120 g of a solution containing 35% hydrogen chloride was added

Calculate the volume of gas evolved if 120 g of a solution containing 35% hydrogen chloride was added to 50 g of calcium carbonate.

The dissolution reaction of limestone in hydrochloric acid is described by the following chemical reaction equation:

CaCO3 + 2HCl = CaCl2 + CO2 + H2O;

When 1 mol of limestone is dissolved in acid, 1 mol of gaseous carbon dioxide is synthesized. This consumes 2 mol of hydrochloric acid.

Let’s calculate the available chemical amount of hydrochloric acid substance.

M HCl = 1 + 35.5 = 36.5 grams / mol;

N HCl = 120 x 0.35 / 36.5 = 1.151 mol;

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

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

N CaCO3 = 50/100 = 0.5 mol;

Thus, when 0.5 mol of limestone is dissolved, 0.5 mol of carbon dioxide is synthesized. This will require 1 mol of acid.

Let’s calculate the volume of carbon dioxide. To do this, multiply the amount of the substance and the standard volume of 1 mole of the gaseous substance. 1 mole of ideal gas fills a volume of 22.4 liters under normal conditions.

V CO2 = 0.5 x 22.4 = 11.2 liters;