Chemistry (9701)
Topic 2 of 4Cambridge A Levels

Stoichiometry & The Mole

Mole calculations, empirical formulae, and reacting masses

The mole is the chemist's counting unit. One mole = 6.02 x 10²³ particles (Avogadro's constant).


Molar mass = relative formula mass in grams. H₂O: Mr = 18, so 1 mol = 18g.


Key formulae:

  • Moles = mass / molar mass (n = m/Mr)
  • Moles of gas = volume / 24 (at room temp, 1 mol gas = 24 dm³)
  • Concentration = moles / volume (c = n/V in mol dm⁻³)

  • Empirical formula = simplest whole number ratio of atoms. A compound is 40% C, 6.7% H, 53.3% O: divide by Ar → C:H:O = 3.33:6.7:3.33 = 1:2:1 → CH₂O.


    Percentage yield = (actual yield / theoretical yield) × 100. Yields below 100% due to incomplete reactions, side reactions, or transfer losses.


    Titration calculations: At equivalence point, moles of acid and base are related by the balanced equation. Use c₁V₁/n₁ = c₂V₂/n₂.

    Key Points to Remember

    • 11 mole = 6.02 x 10²³ particles (Avogadro's constant)
    • 2n = m/Mr for mole calculations
    • 3Empirical formula from percentage composition
    • 4Percentage yield = (actual/theoretical) x 100

    Pakistan Example

    Fertiliser Production at Fauji Fertilizer — Mole Calculations at Scale

    Fauji Fertilizer Company in Rahim Yar Khan produces millions of tonnes of urea (NH₂CONH₂, Mr = 60). Converting tonnes to moles: 1 million tonnes = 1.67 x 10¹⁰ mol. Industrial chemists use stoichiometry daily to optimise ammonia-to-urea conversion and minimise waste.

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