Answer:
pH = 2.373
Explanation:
Step 1: Calculate the molar concentrations of the species present
[chloroacetic acid] = 0.0870 mol / 1.00 L = 0.0870 M
[sodium chloroacetate] = 0.0280 mol / 1.00 L = 0.0280 M
Sodium chloroacetate is a strong electrolyte, so the concentration of chloroacetate is 0.0280 M.
Step 2: Calculate the pH of the solution
We have a buffer system formed by a weak acid (chloroacetic acid) and its conjugate base (chloroacetate). We can calculate the pH of the solution using the Henderson-Hasselbach equation.
pH = pKa + log [chloroacetate]/[chloroacetic acid]
pH = 2.865 + log 0.0280 M/0.0870 M
pH = 2.373