Cambridge (CIE) IGCSE Chemistry

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(Formulae)

Formulae

Chemical Formulae

A chemical formula is like a recipe written with symbols. It shows which atoms are present and how many of each are joined to make a substance. For example, H2O means two hydrogen atoms and one oxygen atom in each water molecule.

Reading Formulae

  • Element symbols use one capital letter, sometimes followed by a lowercase letter (Na, Cl, Fe).
  • Subscripts (small numbers) show “how many”: CO2 has 1 carbon and 2 oxygens.
  • Coefficients (big numbers in front) count molecules: 2H2O means two water molecules. Coefficients change the number of molecules; subscripts change the number of atoms in one molecule.
  • State symbols: (s) solid, (l) liquid, (g) gas, (aq) dissolved in water.

Ionic Formulae (from charges)

Ionic compounds form when positive and negative ions combine so the total charge is zero:

[ \text{Total positive charge} + \text{Total negative charge} = 0 ]

  • Use ion charges (e.g. Na+, Mg2+, Cl, O2−).
  • Balance charges by choosing the smallest whole-number ratio.

Worked Example

Worked example 1: Formula of magnesium chloride

Empirical vs Molecular Formula

  • Empirical formula: the simplest whole-number ratio of atoms (e.g. CH2).
  • Molecular formula: the actual number of atoms in a molecule (e.g. C2H4). It can be a multiple of the empirical formula.

To find an empirical formula from masses or percentages:

[ \text{moles} = \frac{\text{mass}}{A_r} ]

Then divide by the smallest value to get a whole-number ratio.

Worked Example

Worked example 2: 75% carbon and 25% hydrogen

General Formulae in Organic Chemistry

  • Alkanes: CnH2n+2\mathrm{C}_n\mathrm{H}_{2n+2}
  • Alkenes: CnH2n\mathrm{C}_n\mathrm{H}_{2n}
  • Alcohols: CnH2n+1OH\mathrm{C}_n\mathrm{H}_{2n+1}\mathrm{OH}
  • Carboxylic acids: CnH2n+1COOH\mathrm{C}_n\mathrm{H}_{2n+1}\mathrm{COOH}

Common Mistakes

  • Changing subscripts to balance equations. Use coefficients instead.
  • Wrong capital/lowercase letters (co is not Co).
  • Forgetting to balance ion charges to zero in ionic formulae.

Tuity Tip

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  • Think of a formula as a “Lego list” of parts for one unit.
  • For ionic compounds, “charges cross” to suggest numbers: Mg2+ and O2− → MgO; Al3+ and O2− → Al2O3.
  • Displayed formulae show all atoms and bonds; structural formulae show the arrangement clearly in text form.

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