Ionic equilibria: pH, buffers and solubility product

Chemistry · Chemical equilibrium. The idea in plain words, the rules to remember, the mistake to avoid and a worked example, written and checked by Mega Lecture.

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The idea

Water ionises slightly. The product [H+][OH−] is constant at a given temperature and is called the ionic product of water, Kw. pH and pOH are a short way to write small concentrations of H+ and OH−.

A weak acid ionises only partly. Its Ka shows how far: the larger Ka (the smaller pKa), the stronger the acid. Adding an ion that is already present pushes an ionic equilibrium back. This is the common ion effect.

A buffer resists a change in pH when a little acid or base is added. It is a weak acid with its salt, or a weak base with its salt. Ksp applies to saturated solutions of sparingly soluble salts.

Rules to remember

Common mistake

In the Henderson equation students put the acid on top. The salt goes on top: pH = pKa + log([salt] ÷ [acid]). More salt than acid gives a pH above pKa, less salt gives a pH below it.

Worked example

A buffer contains 0.10 mol dm−3 ethanoic acid (pKa = 4.74) and 0.010 mol dm−3 sodium ethanoate. What is its pH?

  1. pH = pKa + log([salt] ÷ [acid])
  2. [salt] ÷ [acid] = 0.010 ÷ 0.10 = 0.10, and log 0.10 = −1.00
  3. pH = 4.74 + (−1.00) = 3.74

Answer: pH = 3.74 (below pKa, because there is less salt than acid).

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