Step-by-step explanation:
We are tritating a 25.0 mL solution of HCl with a solution of NaOH.
NaOH + HCl ----> NaCl + H₂O
We found that after adding 50.1 mL of a 0.153 M solution of NaOH we neutralized all the HCl. We reached the equivalence point. In that point we have the same number of equivalents of both species.
EQNaOH = EQHCl
Since their molar ratio is 1 to 1 (because both coefficients are 1) we can find the number of equivalents by multiplying the volume by the molarity.
EQNaOH = EQHCl
VNaOH * MNaOH = VHCl * MHCl
We already know the volume of both solutions and the concentration of the NaOH solution. We can solve that equation to get the molarity of the HCl solution.
VNaOH * MNaOH = VHCl * MHCl
50.1 mL * 0.153 M = 25.0 mL * MHCl
MHCl = 50.1 mL * 0.153 M/(25.0 mL)
MHCl = 0.307 M
Answer: the concentration of the HCl solution is HCl.