1.4.1—Mole (mol)

Syllabus
First assessment 2025
Objective
1.4.1
Level
HL

The Mole and Particle Number

The mole is the SI unit for amount of substance. One mole contains the Avogadro constant number of specified entities, such as atoms, molecules, ions, or electrons.

N=nNawhereNa=6.022×1023mol1N = nNₐ where Nₐ = 6.022 × 10²³ mol⁻¹

Identify which entity the question asks for, then multiply the amount in moles by Avogadro's constant and by the number of those entities in each formula unit or molecule when needed.

Specify the entity before calculating. One mole of H₂O contains one mole of molecules, two moles of H atoms and one mole of O atoms; multiplying by Nₐ without the formula-unit multiplier answers a different particle question.

Converting Moles to Entities

Assessment in practice

1 mark in each selected multiple-choice example marks
How it is assessed

Questions ask for the number of specified atoms or ions in a stated amount of a molecular or ionic substance.

Command terms

determine

What earns marks

Multiply moles by the Avogadro constant and count the requested entity per molecule or formula unit before selecting or reporting the answer.

Watch for

Counting formula units instead of the requested atoms or ions, or omitting the entity multiplicity in the formula.

Representative question

Question 1

[Maximum number: 1]

How many ions are present in 0.20 mol of (NH4)2SO4\left(\mathrm{NH}_{4}\right)_{2} \mathrm{SO}_{4} ?

A

0.20×1×6×10230.20 \times 1 \times 6 \times 10^{23}

B

0.20×2×6×10230.20 \times 2 \times 6 \times 10^{23}

C

0.20×3×6×10230.20 \times 3 \times 6 \times 10^{23}

D

0.20×7×6×10230.20 \times 7 \times 6 \times 10^{23}

The Mole Summary

Retrieve the quantitative chain: count entities with mN_A, sum relative masses from formulae, convert mass with n=m/M, derive formula ratios, use n=VC for solutions, and apply gas-volume ratios at the same temperature and pressure.

Before finalising, check the requested entity, formula subscripts, units, dm³ conversion, balanced-equation coefficients, and any limiting reactant.