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A student is asked to determine the value of K a for hydrofluoric acid by titrat

ID: 1030092 • Letter: A

Question

A student is asked to determine the value of Ka for hydrofluoric acid by titration with potassium hydroxide.

The student begins titrating a 34.2 mL sample of a 0.461 M aqueous solution of hydrofluoric acid with a 0.290 M aqueous potassium hydroxide solution, but runs out of standardized base before reaching the equivalence point. The student's last observation is that when 35.3milliliters of potassium hydroxide have been added, the pH is 3.382.

What is Ka for hydrofluoric acid based on the student's data?

_________

Explanation / Answer

HF + KOH -------------> KF + H2O

millimoles of HF = 34.2 x 0.461 = 15.77

millimoles of KOH added = 35.3 x 0.290 = 10.34

15.77 - 10.34 = 5.43 millimoles HF left

10.34 millimoles KF formed

total volume = 34.2 + 35.3 = 69.5 mL

[HF] = 5.43 / 69.5 = 0.078 M

[KF] = 10.34 / 69.5 = 0.149 M

mixture of KF and HF act as acidic buffer

pH = pKa + log [KF] / [HF]

3.382 = pKa + log [0.149] / [0.078]

3.382 = pKa + 0.281

pKa = 3.101

Ka = 10-pKa = 10-3.101

Ka = 7.92 x 10-4

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