The Mole and Avogadro’s Constant
Specification Reference S1.4.1
Quick Notes:
- The mole (mol) is the SI unit for the amount of substance.
- One mole contains 6.02 × 1023 elementary entities – this is the Avogadro constant (NA).
- Avogadro’s constant (NA) = 6.02 × 1023 mol⁻¹
- An elementary entity can be:
- An atom, molecule, ion, electron, or any specified particle.
- To calculate number of particles: Number of particles = n × NA
- To calculate moles from particles: n = Number of particles ÷ NA
Full Notes:
What Is a Mole?
The mole (mol) is a counting unit in chemistry – like a "dozen", but much larger.
One mole is defined as exactly 6.02 × 1023 elementary entities.
This huge number is called the Avogadro constant (NA).
This allows chemists to count incredibly tiny particles – like atoms and molecules – in a practical way.
What Are Elementary Entities?
An elementary entity is any particle you’re counting in a chemical scenario. It could be:
- Atoms (e.g., one mole of He = 6.02 × 1023 helium atoms)
- Molecules (e.g., one mole of H2O = 6.02 × 1023 water molecules)
- Ions (e.g., Na+, Cl−)
- Electrons
- Specified groups of atoms or particles
Always pay attention to what kind of entity the question is asking for!
Converting Between Moles and Particles
We can convert between the amount in moles and number of particles using:

Number of particles = n × NA
n = Number of particles ÷ NA
Where:
- n = number of moles
- NA = 6.02 × 1023 mol⁻¹
- Number of particles = atoms, molecules, ions, etc.
Worked Example
How many molecules are in 0.25 mol of CO2?
- Number of molecules = 0.25 mol × 6.02 × 1023
- = 1.51 × 1023 molecules
Worked Example
How many moles of sodium ions are in 1.204 × 1024 ions?
- Number of moles = 1.204 × 1024 ÷ 6.02 × 1023
- = 2.00 mol
Summary
- The mole is the SI unit for the amount of substance.
- Avogadro’s constant is 6.02 × 1023 mol⁻¹.
- A mole can represent atoms, molecules, ions, or electrons.
- Use NA to convert between moles and number of particles.