A-level chemistry · Chapter 3

Stoichiometry

Moles, gases, titrations, yield — AQA's “Amount of substance”

Avogadro constant NA = 6.022 × 10²³ mol⁻¹ — the number of particles in one mole.
n = m / M   ·   n = c × V(dm³)   ·   pV = nRT (R = 8.314 J K⁻¹ mol⁻¹)

For the ideal gas equation, p must be in Pa, V in m³ (cm³ × 10⁻⁶) and T in K (°C + 273). Most exam errors here are unit conversions, not chemistry.

Every titration follows the same route: find n(known) from c×V, apply the mole ratio from the equation, then c(unknown) = n/V. Concordant titres agree within 0.10 cm³ — use their mean.

% atom economy = (M of desired product ÷ Σ M of all products) × 100 % yield = (actual moles ÷ theoretical moles) × 100

Atom economy is about the reaction type (addition = 100%); yield is about practical losses. Examiners ask you to distinguish them.

3.1.2.4Full titration calculation — the 5-step routine

Worked example. 25.0 cm³ of NaOH is neutralised by 21.40 cm³ of 0.0850 mol dm⁻³ HCl. Find [NaOH].
  1. Start with the moles of the known: n(HCl) = c × V = 0.0850 × 0.02140 = 1.819 × 10⁻³ mol.
  2. Write the equation: HCl + NaOH → NaCl + H₂O, giving a 1 : 1 ratio.
  3. The ratio means n(NaOH) = 1.819 × 10⁻³ mol.
  4. Convert back: c = n ÷ V = 1.819 × 10⁻³ ÷ 0.0250 = 0.0728 mol dm⁻³.
  5. Quote 3 significant figures to match the data given.

3.1.2.3Using pV = nRT without unit disasters

Convert first, every time: kPa → Pa (×1000) · cm³ → m³ (×10⁻⁶) · dm³ → m³ (×10⁻³) · °C → K (+273). Do the conversions before touching the equation and the marks look after themselves.

Worked example. What volume does 0.100 mol of gas occupy at 298 K and 100 kPa?
  1. Rearrange for volume: V = nRT ÷ p = (0.100 × 8.31 × 298) ÷ 100 000 = 2.48 × 10⁻³ m³ = 2.48 dm³.

3.1.2.5Percentage uncertainty

% uncertainty = (uncertainty ÷ measured value) × 100. It doubles whenever a quantity is the difference of two readings — a burette titre, a ΔT, a mass by difference — because each reading brings its own uncertainty.

To reduce it, make the measured quantity bigger: a larger titre or a larger ΔT. More repeats will not do it — repeats reduce random error, not the % uncertainty of the instrument.

Exam tip. Empirical formula questions: divide each element's mass (or %) by its Ar, then divide all by the smallest. Only round at the very end — 1.33 is a ratio of 4:3, not "1".

Deep dive📚 The rest of the chapter, in full

The ideal gas equation, without unit disasters

pV = nRT with R = 8.31 J K⁻¹ mol⁻¹ demands SI: pressure in Pa (kPa × 10³), volume in m³ (cm³ × 10⁻⁶, dm³ × 10⁻³), temperature in K (°C + 273). Most lost marks are unit conversions, not chemistry.

Worked example. What volume does 0.250 mol of gas occupy at 100 kPa and 25 °C? V = nRT/p = (0.250 × 8.31 × 298) ÷ 100 000 = 6.19 × 10⁻³ m³ = 6.19 dm³. Cross-check: near room conditions one mole occupies ≈ 24 dm³, so a quarter mole ≈ 6 dm³. ✓
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