Sofia A. answered 06/17/22
AP Chemistry Tutor with a PhD and College Teaching Experience
100 cm3 buffer solution of 0.1M CH3COOH and 0.05M CH3COONa contains 10 mmol of acetic acid and 5 mmol of acetate
3 cm3 HCl 0.01M contain 0.03 mmol HCl
When 0.03 mmol HCl are added to the buffer solution it will convert acetate to acetic acid. The new amount of acetate is now 4.97 mmol and the new amount of acetic acid is now 10.03 mmol
Then we can find pH of the mixture using the Henderson-Hasselbalch equation, and the pKa of acetic acid (4.75)
pH = pKa + log [Salt] / [Acid] = 4.75 + log (4.97/10.03) = 4.45