This mini-lesson walks you through the whole of AQA Topic 4.3 — Quantitative chemistry: conservation of mass and balanced equations, relative formula mass, the mole, reacting masses, concentration, percentage yield, atom economy, titrations and gas volumes.
Work through each screen, answer the questions as you go (lots of calculations) and collect ⭐ stars. HT marks Higher-tier-only content; CO marks Chemistry-only (separate science) content. Press Start when you're ready.
The law of conservation of mass states that during a chemical reaction no atoms are created or destroyed. The atoms are just rearranged, so the total mass of the products equals the total mass of the reactants.
That is why a symbol equation must be balanced — the same number of atoms of each element on both sides:
Watch out: multipliers work two ways — a big number in front (the 2 in 2MgO) multiplies the whole formula, while a small subscript (the 2 in O₂) multiplies only the atom before it.
In an open (non-enclosed) container, mass can appear to rise or fall — but this is only because a gas entered or escaped and was not weighed:
Misconception buster: mass is always conserved. In a sealed flask the reading never changes. Seal the same reaction and weigh everything — including the gas — and reactant mass = product mass exactly.
In each open dish, tap what happens to the reading on the balance.
The relative formula mass (Mr) of a compound is the sum of the relative atomic masses (Ar) of all the atoms in its formula.
Misconception buster: Mr is a ratio of masses — it has no units. (Only when you talk about "the mass of one mole" do grams appear.)
Chemical amounts are measured in moles (symbol mol). One mole of any substance contains the same number of particles — the Avogadro constant:
The clever part: the mass of one mole of a substance in grams is numerically equal to its relative formula mass. So one mole of carbon (Mr = 12) is 12 g, and one mole of CO₂ (Mr = 44) is 44 g.
How many moles are in 88 g of carbon dioxide, CO₂? (Mr = 12 + 16 + 16 = 44)
moles = 88 ÷ 44 = 2 mol
A balanced equation is a recipe in moles. The big numbers give the mole ratio, which lets you work out the mass of product from the mass of a reactant:
What mass of MgO forms from 48 g of Mg? (Ar: Mg = 24, Mr MgO = 40)
moles Mg = 48 ÷ 24 = 2 mol → ratio 1:1 → 2 mol MgO
mass MgO = 2 × 40 = 80 g
When two reactants are mixed, one often runs out first. The reactant that is completely used up is the limiting reactant — it limits how much product can form. The other is in excess (some is left over).
Misconception buster: the limiting reactant is the one fully used up — not simply the one with the smaller mass. You must compare moles against the equation's ratio to decide which runs out.
The concentration of a solution is how much solute is dissolved in a given volume of solution. The first way to measure it is mass per volume:
25 g of salt is dissolved to make 0.5 dm³ of solution.
concentration = 25 ÷ 0.5 = 50 g/dm³
Concentration can also be measured in moles per volume. This links straight to the mole equations:
To go from a g/dm³ concentration to mol/dm³, just divide by the Mr (it is the same "grams → moles" step, per dm³).
A sodium chloride solution contains 117 g/dm³ of NaCl. (Mr NaCl = 23 + 35.5 = 58.5)
concentration = 117 ÷ 58.5 = 2 mol/dm³
Misconception buster: g/dm³ and mol/dm³ are different units. They describe the same solution but are not the same number — convert with the Mr, never assume they are equal.
You rarely collect all the product you'd predict — some is lost on filtering, the reaction may be reversible, or side-reactions occur. The percentage yield compares what you actually got with the theoretical maximum:
A reaction could in theory make 8 g of product, but only 6 g is collected.
% yield = (6 ÷ 8) × 100 = 75%
No atoms are ever lost in the reaction itself — a low yield means product was lost during the process or the reaction didn't go to completion. (Calculating the theoretical mass from a reactant mass is HT.)
The atom economy measures how much of the starting mass ends up as the useful product. High atom economy means less waste — important for sustainability and cost:
CaCO₃ → CaO + CO₂, where CaO is the desired product.
Mr CaO = 56; reactant Mr = CaCO₃ = 100
atom economy = (56 ÷ 100) × 100 = 56%
Note the difference: % yield is about how much you actually got; atom economy is a fixed property of the equation — it doesn't depend on the lab at all.
A titration finds an unknown concentration by reacting two solutions completely. If you know the concentration and volume of one, you can find the other. The key step is moles = concentration × volume:
How many moles of HCl are in 20.0 cm³ of 0.10 mol/dm³ hydrochloric acid?
volume = 20.0 ÷ 1000 = 0.020 dm³
moles = 0.10 × 0.020 = 0.002 mol
Equal moles of any gas take up equal volumes under the same conditions. At room temperature and pressure (rtp: 20 °C, 1 atm), one mole of any gas occupies 24 dm³:
What volume does 0.5 mol of CO₂ occupy at rtp?
volume = 0.5 × 24 = 12 dm³
This works for any gas — 1 mol of hydrogen and 1 mol of carbon dioxide both fill 24 dm³ at rtp, even though they have very different masses.
Tap a quantity, then tap the box it belongs in.
Conservation of mass: mass of reactants = mass of products
Relative formula mass: Mr = sum of all Ar (no units)
Moles (HT): moles = mass ÷ Mr (1 mol = 6.02 × 10²³)
Concentration: g/dm³ = mass ÷ volume; mol/dm³ = moles ÷ volume
Percentage yield (CO): (actual ÷ theoretical) × 100
Atom economy (CO): (Mr desired ÷ Σ Mr reactants) × 100
Gas volume (HT, CO): volume (dm³) = moles × 24 at rtp
You've covered the whole of AQA 4.3 — from conservation of mass and Mr through moles, reacting masses, concentration, yield, atom economy, titrations and gas volumes. Press Finish to see your score.
You've worked through Quantitative Chemistry for AQA GCSE Chemistry. 🎉
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