J.R. S. answered 05/06/21
Ph.D. University Professor with 10+ years Tutoring Experience
To find the pH of a buffer, it is easiest to use the Henderson Hasselbalch equation:
pH = pKa + log [salt]/[acid]
The pKa is - log of the Ka for HF. Looking up the Ka for HF I find it to be 7.2x10-4 and the pKa = 3.14
Next, we find the final [salt] and final [acid] and since they are both diluted by 1/2 (30 ml + 30 ml), we have..
Final [NaF] = 1/2 x 0.15 M = 0.075 M
Final [HF] = 1/2 x 0.2 M = 0.1 M
Now solve the HH equation for pH
pH = 3.14 + log (0.075/0.1) = 3.14 + log 0.75 = 3.14 + (-0.12)
pH = 3.02