Mole Calculator: Mass, Moles, Particles, Gas Volume and Concentration

Type any formula (Ca(OH)₂, CuSO₄·5H₂O…) to get its Mr atom by atom, then give one quantity — mass, moles, number of particles, gas volume or concentration — and see the others worked out through n = m/M, N = n × Nₐ, V = n × Vₘ and c = n/V, with the substitution for every step.

About this simulation

What
An interactive Chemistry simulation of Mole Calculator: Mass, Moles, Particles, Gas Volume and Concentration.
Who
Designed for AP, IB, and A‑Level Chemistry students.
How
Runs in any modern browser — drag, adjust, and explore in real time.

Updated 2026-10-11

Key Concepts

Relative formula mass

Mr is the sum of the relative atomic masses of the atoms in the formula. The molar mass M has the same number, in g mol⁻¹.

The mole

One mole is 6.022 × 10²³ particles (the Avogadro constant, Nₐ). n = m ÷ M and N = n × Nₐ.

Molar gas volume

One mole of any gas occupies 24.0 dm³ at room temperature and pressure (20 °C, 101 kPa) and 22.4 dm³ at 0 °C. It does not apply to liquids or solids.

Concentration

c = n ÷ V, with V the volume of solution in dm³. 5.85 g of NaCl made up to 100 cm³ gives 1.00 mol dm⁻³.

What This Amount of Substance Tool Teaches

Chemists count particles by weighing them. The amount of substance, n, measured in moles, links the mass you can weigh to the number of particles, the volume of a gas and the concentration of a solution. This is AQA A-level 3.1.2 Amount of substance.

Start with the formula: the tool adds up the relative atomic masses atom by atom to give Mr, which is also the molar mass in g mol⁻¹. Then give any one quantity and follow the map: divide by M, by the Avogadro constant or by the molar gas volume to reach n, and multiply out again to reach the rest.

Watch which links switch off. A liquid or solid has no molar gas volume, and only a substance in solution has a concentration — a common source of exam mistakes.

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