A 100mL sample of.20 M HF is titrated with 0.10 M KOH. Determine the pH of the solution after the addition of 60.0 mL of KOH. Ka (HF) = 3.5*10^-4
Given:
M(HF) = 0.2 M
V(HF) = 100 mL
M(NaOH) = 0.1 M
V(NaOH) = 60 mL
mol(HF) = M(HF) * V(HF)
mol(HF) = 0.2 M * 100 mL = 20 mmol
mol(NaOH) = M(NaOH) * V(NaOH)
mol(NaOH) = 0.1 M * 60 mL = 6 mmol
We have:
mol(HF) = 20 mmol
mol(NaOH) = 6 mmol
6 mmol of both will react
excess HF remaining = 14 mmol
Volume of Solution = 100 + 60 = 160 mL
[HF] = 14 mmol/160 mL = 0.0875M
[F-] = 6/160 = 0.0375M
They form acidic buffer
acid is HF
conjugate base is F-
Ka = 3.5*10^-4
pKa = - log (Ka)
= - log(3.5*10^-4)
= 3.4559
use:
pH = pKa + log {[conjugate base]/[acid]}
= 3.4559+ log {0.0375/0.0875}
= 3.09
Answer: 3.09
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