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Lesson 3.9 · AQA Combined Science

Higher Tier: moles and particle numbers

Higher Tier only. This is an optional extension after the core lessons. Go to exam practice.

A mole is a counting amount

Higher Tier only. The unit for amount of substance is the mole, mol. One mole contains 6.02 × 10²³ of the stated particles. This is the Avogadro constant per mole. Name the particles: carbon atoms, water molecules, sodium ions, and so on.

Same particle count, different masses

One mole of carbon atoms has a mass of 12 g. One mole of H₂O molecules has a mass of 18 g. Both contain the same number of their stated particles.
The molar mass in g/mol is numerically equal to Ar or Mr. Mr itself still has no unit.

Mass to moles

Amount (mol) = mass (g) ÷ molar mass (g/mol).
Often written n = m/Mr in GCSE working, using the numerically equal molar mass.
9 g water: 9 ÷ 18 = 0.50 mol.

Moles to mass

Mass = amount × molar mass.
0.25 mol CO₂, Mr = 44:
0.25 × 44 = 11 g.
Use grams: 500 mg = 0.500 g; 1 kg = 1000 g.

Count particles

Number of particles = amount in mol × 6.02 × 10²³.
0.50 mol water contains 3.01 × 10²³ water molecules. Each molecule has three atoms, so the total number of atoms is three times its number of molecules.

Remember

n = mass ÷ molar mass. Mass = n × molar mass. One mole contains 6.02 × 10²³ stated particles.