J.R. S. answered 02/17/24
Ph.D. in Biochemistry--University Professor--Chemistry Tutor
Let’ HAc represent acetic acid and Ac- is the acetate anion.
Henderson Hasselbalch eq:
pH = pKa + log [Ac-] / [HAc]
5.00 = 4.76 + log [Ac-] / [HAc]
log [Ac-] / [HAc] = 0.24
[Ac-] / [HAc] = 1.74
For 500 ml (0.5 L) we need 0.05 moles HAc in order to have a buffer 0.1 M in acetate.
The ratio of Ac- to HAc is 1.74 to 1
x / 0.05-x = 1.74
x = 0.0318 moles Ac- = moles NaOH
Volume of 3 M NaOH = 0.0328 mol x 1L/3 mol = 0.0109 L = 10.9 mls