The pKa of HF is 3.17.
a. Calculate the pH of a 1.00 L solution that is 1.00M HF and 1.50M NaF.
b. What is the pH of this solution after addition of 50.0ml of 10.0M HCl.
(a) Solution of HF and NaF will form buffer solution. To calculate the pH of buffer solution Henderson–Hasselbalch equation will be used which is given as follow:
pH = pKa + log ([base] / [acid])
pH = 3.17 + log (1.50/1) = 3.35
On addition of HCl, concentration of NaF will decrease and concentration of HF will increase.
Total volume = 1.05 L
Moles of HCl added = molarity x volume = 10 x 0.05 = 0.5 moles
Now, number of moles of HCl = 1 + 0.5 = 1.5 moles
[HCl] = number of moles / volume of solution (in L) = 1.5 / 1.05 = 1.43 M
Moles of NaF = 1.50 - 0.5 = 1
[NaF] = 1/1.05 = 0.95 M
Now calculate pH,
pH = 3.17 + log (0.95/1.43) = 2.99
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