Final answer:
To find the concentration of the HCl solution, calculate the number of moles of HCl that reacted with Na₂CO₃. Substitute the values into the formula moles = volume × concentration and solve for the concentration of HCl. The final concentration is calculated using the balanced chemical equation and the mass of Na₂CO₃.
Step-by-step explanation:
To find the concentration of the HCl solution, we need to calculate the number of moles of HCl that reacted with Na₂CO₃. We can use the formula:
moles = volume × concentration
First, convert the volume of HCl used from mL to L: 39.85 mL = 0.03985 L
Next, substitute the values into the formula:
moles of HCl = 0.03985 L × concentration of HCl
Solve for the concentration of HCl:
concentration of HCl = moles of HCl / 0.03985 L
Finally, substitute the moles of HCl calculated from the balanced chemical equation:
concentration of HCl = 2.295 g Na₂CO₃ × (1 mol Na₂CO₃ / molar mass of Na₂CO₃) × (2 mol HCl / 1 mol Na₂CO₃) / 0.03985 L
Simplify the expression to get the final answer. The concentration of the HCl solution is ____ M.