Final answer:
To determine the concentrations of the HCl and NaOH solutions, we can use the concept of titration.
Step-by-step explanation:
To determine the concentrations of the HCl and NaOH solutions, we can use the concept of titration. In the first titration, 27.5 ml of NaOH was used to titrate 100.0 ml of HCl. From this, we can determine the concentration of HCl using the balanced chemical equation:
HCl + NaOH -> NaCl + H2O
By using the given information and the equation, we can determine that the concentration of HCl is 0.500 M. Similarly, in the second titration, 18.4 ml of NaOH was used to titrate 50.0 ml of 0.0782 M H2SO4. By using the balanced chemical equation:
NaOH + H2SO4 -> NaHSO4 + H2O
Therefore, the concentrations of the HCl and NaOH solutions are 0.500 M and 0.168 M, respectively.