50 mL of 0.100 M HF is titrated with 55 mL of 0.100 M KOH. What is the pH of the solution. Ka of HF = 6.8 x 10-4
Given:
M(HF) = 0.1 M
V(HF) = 50 mL
M(KOH) = 0.1 M
V(KOH) = 55 mL
mol(HF) = M(HF) * V(HF)
mol(HF) = 0.1 M * 50 mL = 5 mmol
mol(KOH) = M(KOH) * V(KOH)
mol(KOH) = 0.1 M * 55 mL = 5.5 mmol
We have:
mol(HF) = 5 mmol
mol(KOH) = 5.5 mmol
5 mmol of both will react
excess KOH remaining = 0.5 mmol
Volume of Solution = 50 + 55 = 105 mL
[OH-] = 0.5 mmol/105 mL = 0.0048 M
use:
pOH = -log [OH-]
= -log (4.762*10^-3)
= 2.3222
use:
PH = 14 - pOH
= 14 - 2.3222
= 11.6778
Answer: 11.68
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