Final answer:
To determine the concentration of an HCl solution that reacts to form 14.1 g of CO2, calculate the moles of CO2 produced, use the balanced chemical equation to find the moles of HCl, and divide by the volume of the HCl solution to get the concentration, which is 0.489 M HCl.
Step-by-step explanation:
To find the concentration of the HCl solution that reacts with Na2CO3 to form CO2, we first need to calculate the number of moles of CO2 produced using the reaction mass:
# mol CO2 = 14.1 g CO2 × (1 mol CO2 / 44.01 g CO2) = 0.320 mol CO2
Next, we use the balanced chemical equation to find the molar relationship between CO2 and HCl:
HCl + Na2CO3 → 2 NaCl + H2O + CO2
Since 1 mole of Na2CO3 produces 1 mole of CO2, the moles of HCl will also be 0.320 mol. Now, we can find the concentration of the HCl solution:
Concentration of HCl = moles of HCl / volume of HCl solution = 0.320 mol / 0.655 L = 0.489 M HCl