Answer:
0.02498 L
Step-by-step explanation:
CaCO₃ + 2 HCl ➔ CaCl₂ + H₂O + CO₂
You have to use stoichiometry. According to the chemical equation, for every one mole of CaCO₃, two moles of HCl is needed for the reaction to occur. Before you can use this relation you need to convert grams of CaCO₃ to moles. To convert, you need to use the molar mass.
Molar mass of CaCO₃ = 100.086 g/mol
(0.2500 g)/(100.086 g/mol) = 0.002498 mol CaCO₃
Now using the relation of 1 mol of CaCO₃ for every 2 mol of HCl, convert moles of CaCO₃ to moles of HCl.
(0.002498 mol CaCO₃) (2 mol HCl)/(1 mol CaCO₃) = 0.004996 mol HCl
Since the molarity of the solution of HCl is 0.200 M (mol/L), you have to divide the amount of moles needed by the molarity of the solution.
(0.004996 mol HCl)/(0.200 M) = 0.02498 L
You will need 0.02498 L to react with 0.2500 g of CaCO₃.