In order to proceed calculations for a titration process, it is important that we know the reaction involved. For this case, it would be:
HCl + NaOH = NaCl + H2O
To determine the final volume of the sample and the titrant added, we need to know how much of the titrant or the HCl solution was added into the sample. To do this, we use the given values in the problem and the reaction to relate the substances. We do as follows:
1.50 M NaOH ( .05 L solution ) ( 1 mol HCl / 1 mol NaOH ) = 0.075 mol HCl
0.075 mol HCl / 2.90 M HCl = 0.0259 L HCl solution or 25.9 mL of the HCl solution was added
Therefore, the total volume of the sample and the titrant would be 50.0 + 25.90 = 75.90 mL.
