← ⚗️ Chemistry

Cambridge IGCSE 0620 · Topic 3 of 10

Stoichiometry and the mole

Formulae, equations and the mole: calculating masses, gas volumes, concentrations, yields and formulae.

📌 Key points

  1. Relative formula mass (Mr) is the sum of the relative atomic masses of all the atoms in the formula.
  2. One mole of a substance contains 6.02 × 1023 particles (the Avogadro constant).
  3. Number of moles = mass (g) ÷ molar mass (g/mol), where molar mass is Mr in grams.
  4. One mole of any gas occupies 24 dm3 at room temperature and pressure (r.t.p.), so moles of gas = volume (dm3) ÷ 24.
  5. Concentration (mol/dm3) = moles ÷ volume (dm3). To change cm3 to dm3, divide by 1000.
  6. A balanced equation gives the mole ratio of reactants and products, which is used to calculate reacting masses and volumes.
  7. The empirical formula is the simplest whole-number ratio of atoms; the molecular formula is the actual number of each type of atom in a molecule.
  8. Percentage yield = actual yield ÷ theoretical yield × 100; percentage purity = mass of pure product ÷ mass of impure sample × 100.
  9. State symbols: (s) solid, (l) liquid, (g) gas, (aq) aqueous (dissolved in water).

📖 Key terms

Mole
The amount of substance containing 6.02 × 1023 particles.
Relative formula mass (Mr)
Sum of the relative atomic masses of the atoms in a formula.
Empirical formula
The simplest whole-number ratio of the atoms of each element in a compound.
Molecular formula
The number and type of each atom in one molecule.
Limiting reactant
The reactant that is completely used up and so limits the amount of product.
Concentration
The amount of solute in a given volume of solution, in mol/dm3 or g/dm3.

✏️ Worked example

Calcium carbonate decomposes: CaCO3 → CaO + CO2. Calculate the mass of calcium oxide made from 25 g of calcium carbonate. (Ar: Ca = 40, C = 12, O = 16)

  1. Mr of CaCO3 = 40 + 12 + (3 × 16) = 100.
  2. Moles of CaCO3 = 25 ÷ 100 = 0.25 mol.
  3. Mole ratio CaCO3 : CaO is 1 : 1, so 0.25 mol of CaO forms.
  4. Mr of CaO = 40 + 16 = 56.
  5. Mass of CaO = 0.25 × 56 = 14 g.
💡 Exam tip

Always show your working and units. Many lost marks come from forgetting to divide cm3 by 1000 to get dm3.

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