Step-by-step explanation:
The balanced chemical equation for the reaction between calcium carbonate (CaCO3) and hydrochloric acid (HCl) is:
CaCO3 + 2 HCl → CaCl2 + CO2 + H2O
According to the problem, 3.24 g of calcium carbonate reacted with excess hydrochloric acid, leaving 2.24 g of excess limestone in the solution. This means that 3.24 - 2.24 = 1 g of calcium carbonate reacted with the hydrochloric acid. We can use this information to calculate the number of moles of calcium carbonate that reacted:
1 g CaCO3 / 100.09 g/mol CaCO3 = 0.00999 mol CaCO3
Since the balanced chemical equation shows that 1 mole of calcium carbonate reacts with 2 moles of hydrochloric acid, we know that 0.01998 moles of hydrochloric acid reacted. We can use this information to calculate the molarity of the hydrochloric acid solution:
Molarity = moles of HCl / volume of solution
Molarity = 0.01998 mol / 0.1 L
Molarity = 0.1998 M
Therefore, the molarity of the hydrochloric acid solution is 0.1998 M.