Stoichiometry
Moles, gases, titrations, yield — AQA's “Amount of substance”
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) × 100Atom 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
- Start with the moles of the known: n(HCl) = c × V = 0.0850 × 0.02140 = 1.819 × 10⁻³ mol.
- Write the equation: HCl + NaOH → NaCl + H₂O, giving a 1 : 1 ratio.
- The ratio means n(NaOH) = 1.819 × 10⁻³ mol.
- Convert back: c = n ÷ V = 1.819 × 10⁻³ ÷ 0.0250 = 0.0728 mol dm⁻³.
- 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.
- 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.
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.
The full Stoichiometry chapter — every remaining section, the Mastery Vault, chapter quizzes and AI-marked exams — is in ChemLab.
Continue in the app