Calculate the formal concentrations of acetic acid and sodium acetate necessary to prepare a buffer solution of pH 5 that is 0.20M in total acetate?

1 answer

You need two equations to solve simultaneously. Equation 1 is the Henderson-Hasselbalch equation.
pH = pKa + log (base)/(acid)
5 = pKa + log (base/acid)
Substitute and solve for ratio (base)/(acid).

Equation 2 is
(acid) + (base) = 0.2 M

Solve the two equations for (base) and (acid) and you have your answers. acetic acid is the acid and sodium acetate is the base.