Stoichiometry and the mole
Formulae, equations and the mole: calculating masses, gas volumes, concentrations, yields and formulae.
📌 Key points
- Relative formula mass (Mr) is the sum of the relative atomic masses of all the atoms in the formula.
- One mole of a substance contains 6.02 × 1023 particles (the Avogadro constant).
- Number of moles = mass (g) ÷ molar mass (g/mol), where molar mass is Mr in grams.
- One mole of any gas occupies 24 dm3 at room temperature and pressure (r.t.p.), so moles of gas = volume (dm3) ÷ 24.
- Concentration (mol/dm3) = moles ÷ volume (dm3). To change cm3 to dm3, divide by 1000.
- A balanced equation gives the mole ratio of reactants and products, which is used to calculate reacting masses and volumes.
- 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.
- Percentage yield = actual yield ÷ theoretical yield × 100; percentage purity = mass of pure product ÷ mass of impure sample × 100.
- 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)
- Mr of CaCO3 = 40 + 12 + (3 × 16) = 100.
- Moles of CaCO3 = 25 ÷ 100 = 0.25 mol.
- Mole ratio CaCO3 : CaO is 1 : 1, so 0.25 mol of CaO forms.
- Mr of CaO = 40 + 16 = 56.
- Mass of CaO = 0.25 × 56 = 14 g.
Always show your working and units. Many lost marks come from forgetting to divide cm3 by 1000 to get dm3.
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