Final answer:
To find the concentration of the weak base, calculate the moles of HCl used and use the stoichiometric relationship to determine the moles of the weak base, which, when divided by the volume of the weak base in liters, gives the concentration.
Step-by-step explanation:
The concentration of the weak base can be determined using the information from the titration with HCl. The molarity of the titrant (HCl) and the volume used at the endpoint allows us to calculate the number of moles of HCl, which equals the number of moles of the weak base due to the 1:1 molar ratio in the acid-base neutralization reaction.
First, calculate the moles of HCl:
Moles of HCl = Molarity of HCl × Volume of HCl in liters
Moles of HCl = 0.0568 M × 0.01788 L
Moles of HCl = 0.00101664 mol
Since the molar ratio of acid to base is 1:1, the moles of base will be the same:
Moles of weak base = Moles of HCl
Moles of weak base = 0.00101664 mol
Finally, calculate the concentration of the weak base:
Concentration of weak base = Moles of weak base / Volume of weak base in liters
The concentration of weak base = 0.00101664 mol / 0.02000 L
Concentration of weak base = 0.050832 M