The Mole & the Avogadro Constant (AQA A Level Chemistry): Revision Note

Exam code: 7405

Stewart Hird

Written by: Stewart Hird

Reviewed by: Caroline Carroll

Updated on

Mole & Avogadro Constant

  • The Avogadro constant (L) is the number of particles in one mole of a substance

  • It applies to atoms, molecules, ions, and electrons

  • The value of L is 6.02 × 1023 mol-1

  • A mole (mol) is the amount of substance that contains the same number of elementary entities as there are atoms in exactly 12.00 g of carbon-12

  • One mole of an element has a mass equal to its relative atomic mass (Aᵣ) expressed in grams

  • One mole of a compound has a mass equal to its relative formula mass (Mᵣ) expressed in grams

  • For example:

    • One mole of carbon has a mass of 12 g and contains 6.02 × 1023 carbon atoms.

    • One mole of water (H2O) has a mass of (2 × 1.0 + 16.0) = 18.0 g and contains 6.02 × 1023 water molecules

  • The number of moles can be calculated using the equation:

moles = mass ÷ molar mass

  • The number of particles can then be calculated using:

number of particles = moles × L

Formula triangle diagram linking moles, particles, and the Avogadro constant 

Triangle showing relationship between particles, moles, and Avogadro's constant. Particles atop, moles bottom left, L bottom right. Dividing and multiplying indicators.
The moles and particles formula triangle – cover the one you want to find and follow the directions in the triangle

Worked Example

Determine the number of atoms, molecules, and the relative mass of 1 mole of:

  1. Na

  2. H2 

  3. NaCl

Answer 1

  • The relative atomic mass of Na is 23.0

  • Therefore, 1 mol of Na has a mass of 23.0 g mol-1

  • 1 mol of Na will contain 6.02 x 1023 atoms of Na (Avogadro’s constant)

Answer 2

  • The relative atomic mass of H is 1.0

  • Since there are 2 H atoms in H2, the mass of 1 mol of H2 is (2 x 1.0) = 2.0 g mol-1

  • 1 mol of H2 will contain 6.02 x 1023 molecules of H2

  • Since there are 2 H atoms in H2, 1 mol of H2 will contain 2 x 6.02 x 1023  = 1.204 x 1024 H atoms

Answer 3

  • The relative atomic mass of Na and Cl is 23.0 and 35.5, respectively

  • Therefore, 1 mol of NaCl has a mass of (23.0 + 35.5) = 58.5 g mol-1

  • 1 mol of NaCl will contain 6.02 x 1023 molecules of NaCl

  • Since there is one Na and one Cl atom in NaCl, 1 mol of NaCl will contain 2 x 6.02 x 1023  = 1.204 x 1024 atoms in total

1 mole of 

Number of atoms

Number of molecules

Relative mass (g mol-1)

Na

6.02 x 1023

-

23.0

H2

1.204 x 1024

6.02 x 1023

2.0

NaCl

1.204 x 1024

6.02 x 1023

58.5

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Stewart Hird

Author: Stewart Hird

Expertise: Chemistry Content Creator

Stewart has been an enthusiastic GCSE, IGCSE, A Level and IB teacher for more than 30 years in the UK as well as overseas, and has also been an examiner for IB and A Level. As a long-standing Head of Science, Stewart brings a wealth of experience to creating Topic Questions and revision materials for Save My Exams. Stewart specialises in Chemistry, but has also taught Physics and Environmental Systems and Societies.

Caroline Carroll

Reviewer: Caroline Carroll

Expertise: Physics & Chemistry Subject Lead

Caroline graduated from the University of Nottingham with a degree in Chemistry and Molecular Physics. She spent several years working as an Industrial Chemist in the automotive industry before retraining to teach. Caroline has over 12 years of experience teaching GCSE and A-level chemistry and physics. She is passionate about creating high-quality resources to help students achieve their full potential.