Final answer:
The molarity of the HCl solution is 0.735 M.
Step-by-step explanation:
To determine the molarity of the HCl solution, we need to use the given information about the volume of HCl solution and the number of moles of sodium carbonate.
Given:
Volume of HCl solution = 17.94 mL
Mass of sodium carbonate (Na2CO3) = 1.401 g
Molar mass of sodium carbonate (Na2CO3) = 106 g/mol
We can use the formula:
Molarity (M) = moles of solute / volume of solution (in L)
First, we need to calculate the number of moles of sodium carbonate:
Moles of Na2CO3 = mass / molar mass
= 1.401 g / 106 g/mol
= 0.0132 mol
Since the reaction between HCl and sodium carbonate has a 1:1 stoichiometry, the number of moles of HCl required will also be 0.0132 mol.
Now, we can calculate the molarity of the HCl solution:
Molarity = moles of HCl / volume of HCl solution (in L) = 0.0132 mol / 0.01794 L
= 0.735 M