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Multiple Choice
A 1.000 g sample of Na2CO3 (MW: 105.99 g/mol) is dissolved in enough water to make 200.0 mL of solution. A 25.00 mL aliquot required 32.18 mL of HCl to completely neutralize it. What is the molar concentration of HCl? Na2CO3 (aq) + 2 HCl (aq) → 2 KCl (aq) + H2O(l) + CO2 (g)
A
0.5864 M
B
0.07330 M
C
0.01832 M
D
0.002359 M
Verified step by step guidance
1
Calculate the moles of Na2CO3 in the 1.000 g sample using its molar mass: \( \text{moles of Na}_2\text{CO}_3 = \frac{1.000 \text{ g}}{105.99 \text{ g/mol}} \).
Determine the concentration of Na2CO3 in the 200.0 mL solution by dividing the moles of Na2CO3 by the volume of the solution in liters: \( \text{Concentration of Na}_2\text{CO}_3 = \frac{\text{moles of Na}_2\text{CO}_3}{0.200 \text{ L}} \).
Calculate the moles of Na2CO3 in the 25.00 mL aliquot by multiplying the concentration of Na2CO3 by the volume of the aliquot in liters: \( \text{moles of Na}_2\text{CO}_3 = \text{Concentration of Na}_2\text{CO}_3 \times 0.02500 \text{ L} \).
Use the stoichiometry of the reaction to find the moles of HCl required to neutralize the moles of Na2CO3. According to the balanced equation, 2 moles of HCl are needed for every mole of Na2CO3: \( \text{moles of HCl} = 2 \times \text{moles of Na}_2\text{CO}_3 \).
Calculate the molar concentration of HCl by dividing the moles of HCl by the volume of HCl solution used in liters: \( \text{Concentration of HCl} = \frac{\text{moles of HCl}}{0.03218 \text{ L}} \).