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IGCSE · Cambridge (CIE) · 0654

Reading formulas and building a formula notebook

Count the atoms in a molecule or formula unit and connect familiar chemical names with their formulas.

Formulae · Cambridge IGCSE 0654 · C3.1

Mapped to the named 0654 section using teaching from the corresponding single-science course. A 0654-specific review of every Core and Supplement objective is still in progress. Written practice is self-checked; it does not demonstrate supervised laboratory competence or award an official Cambridge grade.

Before you begin

  • Recognise element symbols and distinguish an atom from a molecule.
  • Know that an ionic formula describes a ratio of ions rather than a separate molecule.

Work on paper. Try each question before revealing help, and explain why your method works.

Quick readiness check

How many oxygen atoms are in one CO₂ molecule?

What you will learn

  • Read molecular formulas and formulas with brackets.
  • Deduce a formula from a particle model and retrieve common named substances.

A subscript counts atoms; a coefficient counts particles

A molecular formula gives the actual number of each kind of atom in one molecule. CH₄ means one carbon and four hydrogen atoms; H₂O₂ means two hydrogens and two oxygens. An omitted subscript means one. A coefficient belongs to the entire formula: 3CO₂ represents three molecules, containing three carbon atoms and six oxygen atoms in total.

A bracket multiplier applies to everything inside its bracket. Ca(OH)₂ counts one calcium, two oxygens and two hydrogens. For an ionic solid this is a formula-unit ratio, rather than a claim that separate Ca(OH)₂ molecules exist. When a model shows an actual molecule, count all its atoms before writing the formula; do not simplify its molecular formula into a ratio.

Retrieve names in families

Start a formula notebook that you extend as each later topic names more substances. Common elemental gases are H₂, N₂, O₂ and Cl₂; helium and other noble gases are monatomic. Familiar compounds include water H₂O, ammonia NH₃, carbon monoxide CO, carbon dioxide CO₂, sulfur dioxide SO₂ and sulfur trioxide SO₃. Compare similar names carefully: monoxide and dioxide describe different oxygen counts.

Common acids are hydrochloric HCl, nitric HNO₃ and sulfuric H₂SO₄. Common alkalis include NaOH, KOH and Ca(OH)₂. Examples met in later reactions include NaCl, MgO, Al₂O₃, Fe₂O₃, CaO, CaCO₃, CuSO₄, PbBr₂, AgNO₃, Ba(NO₃)₂, NH₄NO₃ and KNO₃. Learn each formula alongside its name, use and reaction; this starter notebook is not the complete list for all later topics. Organic formulas and hydrated salts are introduced in their own sequences.

Sources for this lesson

Pause and explain

Which formula matches a molecule with two hydrogen and two oxygen atoms?

Put the idea to work

Worked example

A model of one molecule contains two carbon atoms, six hydrogen atoms and one oxygen atom. Write its molecular formula and count atoms in four molecules.

Show the worked solution
  1. Keep the model's actual atom counts: C₂H₆O.
  2. Multiply every count by the coefficient four.
  3. The total is eight carbons, twenty-four hydrogens and four oxygens.

Answer C₂H₆O; four molecules contain 8 C, 24 H and 4 O atoms.

Try a topic test

Choose Easy, Normal or Difficult. Save your answers and open worked review after finishing.

Test this topic →

From guided practice to a new situation

Write your answer and reasoning first. Use a hint only if you are stuck. The model solution is for self-checking; your written work is not automatically marked.

1 · Guided

Count each element in Al₂(SO₄)₃ and then in 2Al₂(SO₄)₃.

Give me a hint

Apply the bracket multiplier before the coefficient.

Compare my reasoning
  1. One formula unit contains two aluminium and three sulfur atoms.
  2. Its oxygen count is 4×3=12.
  3. The coefficient two gives 4 Al, 6 S and 24 O overall.

One unit: 2 Al, 3 S, 12 O. Two units: 4 Al, 6 S, 24 O.

Look for these in your work

  • The bracket affects sulfur and oxygen.
  • The coefficient multiplies every atom count.
2 · Independent

A molecular model has one nitrogen atom and three hydrogen atoms. Give the formula, name the familiar compound and count atoms in five molecules.

Give me a hint

Use the exact counts from the model.

Compare my reasoning
  1. One nitrogen and three hydrogens give NH₃.
  2. The familiar compound is ammonia.
  3. Five molecules contain five nitrogen and fifteen hydrogen atoms.

NH₃, ammonia; 5 N and 15 H atoms in five molecules.

Look for these in your work

  • The molecule's formula and name agree.
  • The coefficient changes number of molecules rather than their identity.
3 · Transfer

A label says sulfur dioxide but prints SO₃. Explain the mismatch and say why changing a coefficient cannot repair it.

Give me a hint

A name describes the formula within each particle.

Compare my reasoning
  1. Sulfur dioxide requires two oxygens per sulfur, giving SO₂.
  2. SO₃ is sulfur trioxide, a different compound.
  3. A coefficient multiplies whole particles and does not change the oxygen count within each one.

Use SO₂; changing a coefficient cannot turn sulfur trioxide into sulfur dioxide.

Look for these in your work

  • The names and subscripts are distinguished.
  • Coefficients and molecular identity are kept separate.

Common mistakes

  • Simplifying a molecular formula when the task asks for actual atoms in one molecule.
  • Applying a bracket multiplier only to the last element.
Recall without your notes

What can you explain now?

How many oxygen atoms are represented by 2Ca(OH)₂?

Compare with the explanation

4

Each formula unit includes two oxygens; the coefficient two multiplies that count, giving four.

After trying it yourself, choose your next review. This is your self-assessment.

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Make it stick

Close your notebook and write the formulas of six named substances from different families. Draw one molecular model and count its atoms before checking.

If you needed the solution, close it and solve the problem again from a blank page. A correct answer is stronger when you can explain the reason for each step.

Keep learning Sciences — Co-ordinated (Double)

Course scope and assessment

This 2028–2029 pathway maps all 152 detailed subject-content sections in the published 0654 syllabus to original teaching and staged practice. It adapts teaching from the related single-science pathways and excludes clear 0610-only topics such as classification systems, human excretion, tropic responses, food supply, population dynamics, detailed pollution and biotechnology. Some explanations may include wider single-science context. A 0654-specific objective-by-objective review, Core/Supplement audit, human subject-teacher review, supervised laboratory experience and cumulative assessment remain in progress. Written practice is self-checked and does not predict an official grade. The 2025–2027 syllabus has not been reconciled here; choose the 2028–2029 syllabus only.

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