Henderson Hasselbalch Equation: pH of Buffer Solutions

checklist
Mark Yourself Question
  1. Grab a piece of paper and try this problem yourself.
  2. When you're done, check the "I have answered this question" box below.
  3. View the solution and report whether you got it right or wrong.
Consider 500 mL of a sodium acetate/acetic acid buffer in which the concentration of sodium acetate is 0.50 M and that of acetic acid is 0.10 M. (Ka acetic acid= 1.8×10-5)

(a) What is the initial pH of the buffer?

(b) What is the pH after 100 mL of 0.10 M NaOH is added?

(c) What is the pH after 100 mL of 0.10 M HCl is added?

More Preparing Buffers with Desired pH Questions:
Based on the given ionization constants, which of the following pairs of substances should be dissolved together in water to produce a buffer with pH = 9.85?
AcidKaBaseKbAcetic acid (CH3COOH)1.8×105Ammonia (NH3)1.8×105Bicarbonate (HCO3)4.8×1011Acetate (CH3COO)5.6×1010Carbonic acid (H2CO3)4.2×107Aniline (C6H5NH2)3.8×1010Hydrazoic acid (HN3)1.9×105Hydrazine (N2H4)8.5×107Hydrofluoric acid (HF)6.8×104Methylamine (CH3NH2)4.4×104Phenol (C6H5OH)1.3×1010Pyridine (C5H5N)1.5×109\def\arraystretch{2} \begin{array}{c|c|c|c} \hline \rm Acid &\rm K_a & \rm Base & \rm K_b\\ \hline \rm Acetic\ acid \ (CH_3COOH) &1.8 × 10^{−5} & \rm Ammonia \ (NH_3) & 1.8 × 10^{−5} \\ \hline \rm Bicarbonate \ (HCO_3^−) & 4.8 × 10^{−11} & \rm Acetate \ (CH_3COO^−) & 5.6 × 10^{−10} \\\hline \rm Carbonic \ acid \ (H_2CO_3) &4.2 × 10^{−7} &\rm Aniline \ (C_6H_5NH_2) & 3.8 × 10^{−10}\\ \hline \rm Hydrazoic \ acid \ (HN_3) &1.9 × 10^{−5} &\rm Hydrazine \ (N_2H_4) & 8.5 × 10^{−7}\\ \hline \rm Hydrofluoric \ acid \ (HF) & 6.8 × 10^{−4}& \rm Methylamine \ (CH_3NH_2) &4.4 × 10^{−4}\\ \hline \rm Phenol \ (C_6H_5OH) & 1.3 × 10^{−10}&\rm Pyridine \ (C_5H_5N) &1.5 × 10^{−9}\\ \hline \end{array}