Final answer:
The pH of the buffer solution is 3.17.
Step-by-step explanation:
First, we need to calculate the ratio of the concentration of the conjugate base (F-) to the concentration of the weak acid (HF) using the Henderson-Hasselbalch equation:
pH = pKa + log([A-]/[HA])
Given that the concentration of HF is 0.1 M and the concentration of NaF is 0.4 M, we can substitute these values into the equation:
pH = -log(6.7 x 10-4) + log(0.4/0.1) = 3.17
Therefore, the pH of the solution is 3.17.