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Weak Acid or Base Titration

Titrate vinegar with sodium hydroxide, or ammonia with hydrochloric acid. The curve has a flat buffer region, a point where the pH equals the pKa, and an equivalence point that is not at pH 7.

Acid-BaseBuffersTitration
Inputs
Input examples
A weak acid HA (or weak base B) in the flask, titrated with a strong base (or strong acid) at 25 °C. Pick a substance to fill in its Ka or Kb. The pH is solved exactly from the charge balance and the acid equilibrium — no buffer approximations.
Weak acid

Why a Weak Acid Curve Looks Different

A weak acid is only partly dissociated, so it starts at a higher pH than a strong acid of the same concentration. As base is added, the acid HA turns into its conjugate base A−. With both present the solution is a buffer: the pH changes only slowly, the flat middle part of the curve.

Half-way to equivalence there is exactly as much A− as HA, so the pH equals the pKa — a classic way to measure it. At the equivalence point only A− is left, which is a weak base, so the pH is above 7. For a weak base titrated with acid everything is mirrored and the equivalence point is below 7.

half-waypH = pKa
bufferpKa ± 1
weak acidequivalence pH > 7
weak baseequivalence pH < 7

Titration Curve

pH
this titration
a strong acid of the same concentration
buffer region (pKa ± 1)
your point
Result
Enter the values above

Weak Acids and Bases

25 °C
SubstanceKpK
Acetic acid (vinegar)Ka = 1.8×10−54.74
Formic acidKa = 1.8×10−43.74
Hydrofluoric acidKa = 6.8×10−43.17
Ammonium ionKa = 5.6×10−109.25
AmmoniaKb = 1.8×10−54.74

Worked Techniques

Buffer Region

Between about 10% and 90% of the way, the Henderson–Hasselbalch equation gives a good estimate.

Example: acetic acid at 75% of the way: pH ≈ 4.74 + 0.48 = 5.22.
Half-Equivalence

Read the pH half-way to the equivalence point and you have measured the pKa of the acid.

Example: vinegar titration: pH 4.74 half-way.
At Equivalence

Only the conjugate base is left, which reacts with water and makes the solution basic.

Example: 0.1 M acetic acid with 0.1 M NaOH: pH 8.72.

Sources & Verification

References
  1. S. S. Zumdahl & S. A. Zumdahl, Chemistry, 10th ed., Cengage, 2018 — Ch. 14 (Acids and Bases) and Ch. 15 (Acid–Base Equilibria).