Knowledge of how weak acids and bases behave in equilibria is key to understanding the pH changes associated with titrating a weak acid or a weak base. The titration curve for a weak acid can be separated into four major points or areas — the initial solution, the buffer region, the equivalence point, and after the equivalence point. The concentration of H3O+ ions is influenced by different factors in each of these points or regions.
The initial solution (before any base is added), only contains weak acid. So the concentration of H3O+ ions can be predicted using
Between the start of the titration and the equivalence point, the weak acid is only partially neutralized, so there is a mixture of both the weak acid and conjugate base. Since both parts of the conjugate pair are present, a buffer is formed (which is where the name “buffer region” comes from), and the concentration of H3O+ ions can be predicted with the Henderson-Hasselbalch equation.
At the equivalence point, the original weak acid has been fully neutralized and converted into its conjugate base. This process creates a slightly basic solution. To calculate the concentration of H3O+ ions, the amount of OH– ions must be calculated first. The auto-ionization constant for water can then be used to determine the concentration of H3O+ ions using an equation similar to the one that describes the relationship between Ka and Kb for a conjugate pair.
After the equivalence point, the concentration of H3O+ ions is determined by the excess amount of OH– ions added from the titrant (for example, sodium hydroxide, NaOH, or potassium hydroxide, KOH). The weak base remaining from the equivalence point does have an effect, but it is usually small enough that it can be ignored in the calculations for this area of the titration curve.
There are some similarities between titration curves of weak acids and those for weak bases. The titration curve of a weak base can also be broken down into four points or regions and calculations similar to the ones used for weak acid titration curves can also be applied.
The initial solution consists of a weak base.
The Henderson-Hasselbalch equation can still be used to calculate the concentration of H3O+ ions, although the pKa of the conjugate acid must be used.
At the equivalence point, all of the weak base is neutralized and converted into the conjugate acid.
After the equivalence point, the concentration of H3O+ ions is determined by the excess H3O+ from the titrant.