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CHEM / A2 level

Quantitative equilibria and buffers

Acid dissociation, ionic product of water and solubility products quantify equilibria. Approximations require checking against the starting concentration and competing effects.

Learning objectives

The big idea

Acid dissociation, ionic product of water and solubility products quantify equilibria. Approximations require checking against the starting concentration and competing effects.

Buffers resist small additions of acid or base because they contain a conjugate pair in substantial amounts. A titration curve depends on acid/base strengths and shows where an indicator must change colour.

Equations and relationships

pH=−log⁡10[H+]\mathrm{pH}=-\log_{10}[\mathrm H^+]

Ideal dilute-solution concentration form, with concentration in mol/dm³.

Worked example

Find pH when [H⁺]=1.0×10⁻³ mol/dm³.

Follow the solution

Substitute the hydrogen-ion concentration: −log₁₀(10⁻³)=3.

Investigate and explain

Predict the worked result before calculating. Change one input, record the new result, and explain which assumptions still hold.

Related interactive model. Compare its assumptions with the explanation; it is not a complete syllabus lesson.

Open the interactive investigation

Check your understanding

1. What does a buffer do?

  1. Resists small pH changes
  2. Keeps pH exactly fixed under any addition
  3. Always has pH 7
Check the answer and reasoning

Resists small pH changes

A finite reservoir of conjugate species consumes added acid or base.

2. Find pH when [H⁺]=1.0×10⁻³ mol/dm³.

  1. −3
  2. 3
  3. 11
Check the answer and reasoning

3

Substitute the hydrogen-ion concentration: −log₁₀(10⁻³)=3.

3. Does a buffer have unlimited capacity?

  1. Yes
  2. Only if dilute
  3. No
Check the answer and reasoning

No

Large additions exhaust one component, so its resistance to pH change is limited.