Glucose standards · practical preparation

Dilutions and solution concentrations

Practise stock volumes, final concentrations and serial dilutions. Use C₁V₁ = C₂V₂ and keep track of the final volume.

Method and worked examples ↓

Start a short session

Check your answer after each question. Use a calculator where needed.

Learn the method

How to approach these questions

  1. Use the same concentration unit for C₁ and C₂, and the same volume unit for V₁ and V₂.
  2. To find stock volume, use V₁ = C₂V₂/C₁.
  3. If volumes are assumed additive, solvent volume = final volume − stock volume.
  4. For serial dilutions, multiply the dilution factors. One part stock plus nine parts solvent gives ten parts in total: a tenfold dilution.

Worked examples

Prepare 20 cm³ of a 2 g dm⁻³ solution from a 10 g dm⁻³ stock. How much stock and solvent are needed?

V₁ = 2 × 20 ÷ 10 = 4 cm³ stock. Add solvent to a final volume of 20 cm³; under the additive-volume assumption this is 16 cm³ solvent.

A 16 g dm⁻³ stock undergoes two fourfold dilutions. Find the final concentration.

Each step leaves one quarter of the previous concentration. 16 ÷ 4² = 1 g dm⁻³.

Keep practising

Topic map and study list · Practical data guides · Active recall decks

Course resources

AQA A-level Biology · OCR A A-level Biology · Textbook answers

Skill coverage follows the common A-level science subject content. Check your board’s current requirements: AQA 7402 and OCR A H420.