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S1.1 - Introduction to the particulate nature of matter S1.2 - The nuclear atom S1.3 - Electron configurations S1.4 - Counting particles by mass - The mole S1.5 - Ideal gases S2.1 - The ionic model S2.2 - The covalent model S2.3 - The metallic model S2.4 - From models to materials S3.1 - The periodic table - Classification of elements S3.2 - Functional groups - Classification of organic compounds R1.1 - Measuring enthalpy changes R1.2 - Energy cycles in reactions R1.3 - Energy from fuels R1.4 - Entropy and spontaneity AHL R2.1 - How much? The amount of chemical change R2.2 - How fast? The rate of chemical change R2.3 - How far? The extent of chemical change R3.1 - Proton transfer reactions R3.2 - Electron transfer reactions R3.3 - Electron sharing reactions R3.4 - Electron-pair sharing reactions

S1.4 - Counting particles by mass - The Mole

1.4.1 The Mole and Avagadro's Constant 1.4.2 Relative Atomic Mass (Ar) and Relative Formula Mass (Mr) 1.4.3 Molar Mass, Mass and the Mole 1.4.4 Empirical and Intermolecular Formulae 1.4.5 Molar Concentration and Solution Calculations 1.4.6 Avagadro's Law and Gas Volumes

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:

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:

IB Chemistry diagram showing relationship between moles, Avogadro’s constant, and number of particles.

Number of particles = n × NA
n = Number of particles ÷ NA

Where:

Worked Example

How many molecules are in 0.25 mol of CO2?

  1. Number of molecules = 0.25 mol × 6.02 × 1023
  2. = 1.51 × 1023 molecules

Worked Example

How many moles of sodium ions are in 1.204 × 1024 ions?

  1. Number of moles = 1.204 × 1024 ÷ 6.02 × 1023
  2. = 2.00 mol

Summary