J.R. S. answered 04/07/20
Ph.D. University Professor with 10+ years Tutoring Experience
The reaction taking place is...
HF + NaOH ==> NaF + H2O and since HF is a weak acid, the addition of NaOH produces F- which is the conjugate base. This makes a buffer of HF + F-
To find the pH, you can use the Henderson Hasselbalch equation: pH = pKa + log [F-]/[HF]
We can find the pKa by taking -log Ka = -log 7.2x10-4 = 3.14
Now, we find the [F-] and [HF]
HF + OH- ===> F- + H2O
0.025...0.0125.........0.........0.......Initial
-0.0125..-0.0125...+0.0125.........Change
0.0125......0............0.0125.........Equilibrium
pH = 3.14 + log (0.0125/0.0125)
pH = 3.14 +0
pH = 3.14