Final answer:
To find the concentration of the HCl solution, calculate the number of moles of CO2 produced using the given mass. Then, use the stoichiometry of the reaction to find the number of moles of HCl. Finally, divide the moles of HCl by the volume of the HCl solution to get the concentration.
Step-by-step explanation:
In order to determine the concentration of the HCl solution, we need to use the stoichiometry of the reaction between HCl and Na2CO3. The balanced equation is:
HCl + Na2CO3 → NaCl + CO2 + H2O
From the given information, we know that 10.1 g of CO2 is produced. Using the molar mass of CO2 (44.01 g/mol), we can calculate the number of moles of CO2 produced:
Moles of CO2 = 10.1 g CO2 / 44.01 g/mol = 0.2297 mol CO2
Since the reaction is a 1:1 ratio between HCl and CO2, the number of moles of HCl is also 0.2297 mol. Now, we can calculate the concentration of the HCl solution:
Concentration of HCl = Moles of HCl / Volume of HCl solution = 0.2297 mol / 0.471 L = 0.487 M HCl solution