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CCEA GCSE Chemistry · Formulae & Equations
Mini-Lesson

Formulae & Equations

This mini-lesson covers the whole of CCEA's Symbols, Formulae & Equations work: writing the formulae of elements and compounds, using the charges of common ions to balance charges in an ionic formula, then writing word equations and balanced symbol equations with state symbols, plus ionic equations (Higher) and conservation of mass.

reactants 2H₂ + O₂ products 2H₂O rearrange no atoms lost — mass is conserved

Work through each screen, answer the questions as you go (some choose a formula, some give a balancing number) and collect ⭐ stars. Press Start when you're ready.

Symbols & formulae

From symbols to formulae

Each element has a chemical symbol — one or two letters, e.g. H for hydrogen, O for oxygen, Na for sodium. A chemical formula uses those symbols to show which atoms a substance contains and how many of each.

  • A subscript (small lower number) gives the count of the atom before it: H₂O is 2 H and 1 O.
  • No subscript means one atom of that element.
  • Several common gases go round in pairs — the diatomic molecules: H₂, O₂, N₂, Cl₂, plus Br₂ and I₂.
H2O 2 hydrogen atoms 1 oxygen atom (no subscript)
The formula H₂O: the subscript 2 belongs to the H in front of it, never to the whole formula.

Common molecules to know: water H₂O, carbon dioxide CO₂, ammonia NH₃, methane CH₄, hydrogen chloride HCl. The subscripts come from how many bonds each atom forms — they are fixed, so never change them to balance an equation.

Quick check

Reading a formula

?How many atoms in total are in one formula unit of calcium nitrate, Ca(NO₃)₂?
Charges of common ions

Ions carry a charge

When metals and non-metals form compounds they make ions — atoms (or groups of atoms) with a charge. To write the formula of an ionic compound you first need the charges. Learn these:

Positive ions (cations) +1Na⁺ K⁺ Li⁺ H⁺ NH₄⁺ +1Ag⁺ +2Mg²⁺ Ca²⁺ Zn²⁺ +2Cu²⁺ Fe²⁺ Pb²⁺ +3Al³⁺ Fe³⁺ metals & ammonium → lose electrons → + Negative ions (anions) −1Cl⁻ Br⁻ I⁻ OH⁻ −1NO₃⁻ HCO₃⁻ −2O²⁻ S²⁻ −2SO₄²⁻ CO₃²⁻ −3PO₄³⁻ non-metals → gain electrons → −
Common ions. Groups of atoms with one overall charge — like NO₃⁻, SO₄²⁻, OH⁻, NH₄⁺ — are polyatomic ions; keep them together.

Spot the pattern: for the simple ions, Group 1 → +1, Group 2 → +2, Group 3 → +3, Group 6 → −2 and Group 7 → −1. The charge (valency) is what you balance.

Match it

Ion pair → formula

Pick the correct formula for each pair of ions — balance the charges so the compound is neutral.

Building an ionic formula

Balance the charges

An ionic compound is overall neutral: the total + charge must cancel the total charge. Take the charge on each ion and swap it to become the number of the other ion — the criss-cross rule:

Al³⁺ O²⁻ 3 goes under O 2 goes under Al Al₂O₃
Al³⁺ and O²⁻ → swap the 3 and 2 → Al₂O₃. Check: 2×(+3) = +6 and 3×(−2) = −6 → neutral.

Watch out: if the charges are equal they just cancel 1:1 — Na⁺ + Cl⁻ → NaCl (not Na₁Cl₁), and Mg²⁺ + O²⁻ → MgO. If a polyatomic ion needs more than one, wrap it in brackets: Ca²⁺ + NO₃⁻ → Ca(NO₃)₂.

Quick check

Build the formula

?What is the formula of the ionic compound made from magnesium ions Mg²⁺ and chloride ions Cl⁻?
Word equations

Word equations first

A word equation names the reactants (starting substances) on the left and the products (what is made) on the right, joined by an arrow meaning "react to form":

methane + oxygen → carbon dioxide + waterreactants → products

The arrow is one way for most reactions. A + separates two reactants or two products. Word equations show what reacts; symbol equations (next) show how much.

Tip: "burns in" or "combustion in air" means reacting with oxygen; a metal + acid makes a salt + hydrogen; an acid + alkali makes a salt + water.

Quick check

Name the product

?Magnesium reacts with hydrochloric acid. Complete the word equation:
magnesium + hydrochloric acid → ______ + ______
Balancing symbol equations

Balancing: count every atom

A symbol equation swaps the names for formulae. Because no atoms are made or lost, each element must have the same number of atoms on both sides. You balance by putting a big number (a coefficient) in front of a formula — never by changing a subscript.

2H₂ + O₂ → 2H₂O left (reactants) H: 2×2 = 4 O: 1×2 = 2 = right (products) H: 2×2 = 4 O: 2×1 = 2
Both sides: 4 H and 2 O. The big 2s are coefficients — the subscripts in H₂ and O₂ never changed.
How to balance, step by step

1. Write the correct formulae (never alter them).

2. Count atoms of each element on both sides.

3. Add coefficients to even them up — leave H and O till last.

4. Re-count to check, then add state symbols.

Balance it

Your turn — the coefficient

1Balance the equation for burning methane. What number goes in the blank?
CH₄ + ___ O₂ → CO₂ + 2H₂O
in front of O₂
Hint: the right side has CO₂ (2 O) + 2H₂O (2 O) = 4 oxygen atoms. How many O₂ make 4 O?
State symbols

State symbols (s) (l) (g) (aq)

A finished symbol equation should show the physical state of each substance with a small bracket after its formula:

(s) solid (l) liquid (pure) (g) gas (aq) dissolved in water Zn(s) + 2HCl(aq) → ZnCl₂(aq) + H₂(g)
(s) solid · (l) pure liquid · (g) gas · (aq) aqueous (dissolved in water). Note (l) is for a pure liquid like water; a dissolved substance is (aq).

Common slip: water made in a reaction is usually (l), but a substance dissolved in water (like an acid or a salt solution) is (aq), not (l).

Quick check

Pick the right state

?Solid calcium carbonate is dropped into hydrochloric acid solution, giving a salt solution, water and carbon dioxide gas. Which line has the correct state symbols?
Conservation of mass

Mass is conserved

In a chemical reaction no atoms are created or destroyed — they are only rearranged. So the total mass of the products equals the total mass of the reactants. This is the conservation of mass, and it is exactly why a symbol equation must balance.

reactants products ⚖ equal mass
Same atoms before and after → the scales balance. 48 g of Mg + 32 g of O₂ make exactly 80 g of MgO.

"But it got lighter!" When magnesium burns it seems to vanish, and when a metal rusts it gets heavier — in both cases a gas (oxygen) joins or leaves. Count all reactants and products, gases included, and the mass always balances.

Sort it

Balanced or not balanced?

Tap an equation, then tap the box. Is it balanced (same atoms each side) or not?

✅ Balanced

❌ Not balanced

Ionic equations · Higher tier

Ionic equations (Higher)

When ionic substances react in solution, some ions take part and others just float by unchanged — the spectator ions. An ionic equation shows only the ions that actually react, leaving the spectators out.

Ag⁺(aq) + Cl⁻(aq) → AgCl(s)silver ions + chloride ions → silver chloride precipitate

For example, mixing silver nitrate with sodium chloride solution:

  • Full: AgNO₃(aq) + NaCl(aq) → AgCl(s) + NaNO₃(aq)
  • The Na⁺ and NO₃⁻ stay dissolved on both sides — they are spectators, so cross them out.
  • What's left is the ionic equation: Ag⁺(aq) + Cl⁻(aq) → AgCl(s).

Two checks for an ionic equation: the atoms must balance and the total charge must be the same on both sides (here −1+1 = 0 on the left, and 0 on the right).

Higher check

The ionic equation

?Higher tier. Neutralising an acid with an alkali: H⁺(aq) reacts with OH⁻(aq). Which is the correct ionic equation for this neutralisation?
Recap

What you need to be able to do

Formulae: read subscripts & brackets; know common molecules (H₂O, CO₂, NH₃, CH₄, HCl) and the diatomic gases.

Ions: recall the charges of common ions, including OH⁻, NO₃⁻, SO₄²⁻, CO₃²⁻, NH₄⁺.

Ionic formulae: balance charges (criss-cross) so the compound is neutral; bracket polyatomic ions.

Word equations: reactants → products.

Symbol equations: balance with coefficients (not subscripts) and add state symbols (s)(l)(g)(aq).

Ionic equations (Higher): cancel spectator ions; balance atoms and charge.

Conservation of mass: atoms are rearranged, never lost — mass is conserved.

You've covered the whole of CCEA's Symbols, Formulae & Equations. Press Finish to see your score.

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