Stoichiometry
Practise H2 Chemistry mole and formula calculations, limiting reagents, concentrations, titrations and gas quantities through ordered lessons.
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Before you begin
Every calculation in this topic follows one method: convert what you know to moles, use the mole ratio from the balanced equation, then convert to what the question asks for. The lessons start with the mole and formulae, then apply the method to reacting masses, solutions, titrations and gases.
Be comfortable with: writing and balancing equations, the mole at O-Level, rearranging equations, and significant figures.
Learning goals
- Mole and Avogadro Constant
- Empirical and Molecular Formula
- Reacting Masses and Limiting Reagent
- Solution Concentration and Dilution
- Titration Calculations
- Gas Calculations (pV = nRT)
Syllabus statements covered
- define the terms relative atomic, isotopic, molecular and formula mass
- define the term mole in terms of the Avogadro constant
- calculate the relative atomic mass of an element given the relative abundances of its isotopes
- define the terms empirical and molecular formula
- calculate empirical and molecular formulae using combustion data or composition by mass
- write and/or construct balanced equations
- perform calculations, including use of the mole concept, involving: — reacting masses (from formulae and equations)
- deduce stoichiometric relationships from calculations such as those in (g)
- perform calculations, including use of the mole concept, involving: — volumes and concentrations of solutions [when performing calculations, candidates’ answers should reflect the number of significant figures given or asked for in the question]
- perform calculations, including use of the mole concept, involving: — volumes of gases (e.g. in the burning of hydrocarbons)
Lessons
Work through them in order.
- Mole and Avogadro constantConvert between particles, moles and mass using the Avogadro constant and molar mass.
- Empirical and molecular formulaCalculate empirical and molecular formulae from composition data.
- Reacting masses and limiting reagentFind the limiting reagent and calculate the product yield and the reactant left over.
- Solution concentration and dilutionUse n = cV and the dilution rule, converting volume units correctly.
- Titration calculationsCalculate amounts and concentrations from titration data using the equation's mole ratio.
- Gas calculations (pV = nRT)Combine pV = nRT with reacting ratios to calculate gas quantities.
Practise and check
Or choose
Topic reference
Quick reference
| What you need | Use | Unit check |
|---|---|---|
| universal workflow | balance → convert to moles → ratio → convert to asked quantity | units and sig figs stay consistent |
| particles ↔ moles | N = nNA | NA = 6.02 × 10²³ mol⁻¹ (Data Booklet) |
| mass ↔ moles | n = m/M | M in g mol⁻¹ |
| solution moles | n = cV | V in dm³ |
| dilution | c₁V₁ = c₂V₂ | same solute only (no reaction) |
| gas moles | pV = nRT | T in K; match units to R |
| common R values | 8.31 J mol⁻¹K⁻¹ with Pa and m³; 8.31 kPa dm³ mol⁻¹K⁻¹ with kPa and dm³ | pick R to match your units |
| titration data | mean of concordant titres; ignore rough; record burette to 2 d.p. | check question’s concordance tolerance |
Core knowledge to remember
- A mole contains 6.02 × 10²³ particles; N = nNA. Always state the particle: atoms, molecules, ions or formula units.
- n = m/M, with the molar mass M in g mol⁻¹; relative masses have no unit.
- The empirical formula is the simplest whole-number ratio of atoms; the molecular formula is a whole-number multiple of it.
- The limiting reagent is used up first and decides the amount of product.
- n = cV with V in dm³; c₁V₁ = c₂V₂ for a dilution only.
- pV = nRT with T in kelvin; gases at the same temperature and pressure react in the same ratio by volume as by moles.
Common mistakes
- Using a volume in cm³ in n = cV or pV = nRT without converting.
- Giving Mᵣ the unit of molar mass.
- Skipping the balanced equation, and so using the wrong mole ratio.
- Using c₁V₁ = c₂V₂ when the solutions react.
- Using the Celsius temperature in pV = nRT.
- Including the rough titre in the mean titre.
- Rounding in the middle of a calculation.