What volume of gas will be released if 50 ml of a 10% hydrochloric acid solution is added to 10 grams

What volume of gas will be released if 50 ml of a 10% hydrochloric acid solution is added to 10 grams of limestone, its density is 1.05 g / cm3.

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 = 50 x 1.05 x 0.1 / 36.5 = 0.144 mol;
Let’s calculate the available chemical amount of limestone.
M CaCO3 = 40 + 12 + 16 x 3 = 100 grams / mol;
N CaCO3 = 10/100 = 0.1 mol;
During the reaction, no more than 0.144 / 2 = 0.072 mol of carbon dioxide will be synthesized.
Let’s calculate its volume.
To do this, we multiply the amount of substance and the standard volume of 1 mole of gaseous substance.
1 mole of ideal gas fills a volume of 22.4 liters under normal conditions.
V CO2 = 0.072 x 22.4 = 1.613 liters;