AQA · GCSE · Combined Science

    Course version: 8464 · Version from Sept 2018

    The number of atoms, molecules or ions in a mole of a given substance is…

    Full specification wording

    Moles (HT only): The number of atoms, molecules or ions in a mole of a given substance is the Avogadro constant. The value of the Avogadro constant is 6.02 x 10²³ per mole.

    The Avogadro constant is the number of particles in one mole of a substance.

    Checked against the AQA 8464 specification (opens in a new tab) on .

    • Point 4 of 6
    • 3 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    The Avogadro constant is the number of particles in one mole of a substance. Its value is 6.02 × 10²³ per mole, so one mole of any substance contains 6.02 × 10²³ of the stated particles, whether atoms, molecules or ions. To find the number of particles, multiply the number of moles by 6.02 × 10²³. For example, 0.50 mol of water contains 0.50 × 6.02 × 10²³ = 3.01 × 10²³ water molecules. To find the amount in moles from a particle number, divide by 6.02 × 10²³. The particle type must be stated because 1 mol of O₂ contains 6.02 × 10²³ molecules but 1.204 × 10²⁴ oxygen atoms. This is Higher Tier only content, requiring confident use of standard form.

    What earns the marks

    • The Avogadro constant is the number of particles in one mole of a substance.
    • Its value is 6.02 × 10²³ per mole.
    • The particles may be atoms, molecules or ions, and the type must be stated.
    • Number of particles = number of moles × 6.02 × 10²³.
    • Number of moles = number of particles ÷ 6.02 × 10²³.
    • For a molecular substance, the number of atoms is the number of molecules multiplied by the number of atoms in the formula.

    Common mistakes and how to put them right

    • Writing the Avogadro constant as 6.02 × 10²² or 6.02 × 10²⁴.

      Put it right: The value is 6.02 × 10²³ per mole.

    • Multiplying by the Avogadro constant when converting particles to moles.

      Put it right: Divide the particle number by 6.02 × 10²³.

    • Forgetting to multiply by the number of atoms in a molecule.

      Put it right: 1 mol of O₂ contains 2 × 6.02 × 10²³ oxygen atoms.

    Exam tips

    • Write the Avogadro constant in standard form as 6.02 × 10²³ per mole before substituting values.
    • Give answers in standard form to the same number of significant figures as the data, and include the particle unit such as molecules or ions.
    • As this is Higher Tier only content, ensure you are confident using standard form on your calculator for these multi-step problems.

    Try the lesson

    The start of the Moles (HT only): The number of atoms, molecules or ions in a mole of a given substance is the Avogadro constant. The value of the Avogadro constant is 6.02 x 10²³ per mole. lesson, made from checked teaching notes for this specification point.

    Have a go first

    What is the value of the Avogadro constant, which is the number of atoms, molecules or ions in one mole of a substance?

    Listen

    The Avogadro constant is the number of particles in one mole of a substance. Its value is 6.02 × 10²³ per mole, so one mole of any substance contains 6.02 × 10²³ of the stated particles, whether atoms, molecules or ions. To find the number of particles, multiply the number of moles by 6.02 × 10²³. For example, 0.50 mol of water contains 0.50 × 6.02 × 10²³ = 3.01 × 10²³ water molecules. To find the amount in moles from a particle number, divide by 6.02 × 10²³. The particle type must be stated because 1 mol of O₂ contains 6.02 × 10²³ molecules but 1.204 × 10²⁴ oxygen atoms. This is Higher Tier only content, requiring confident use of standard form. A strong answer earns marks for these points. The Avogadro constant is the number of particles in one mole of a substance. Its value is 6.02 × 10²³ per mole. The particles may be atoms, molecules or ions, and the type must be stated. Number of particles = number of moles × 6.02 × 10²³. A common slip: Writing the Avogadro constant as 6.02 × 10²² or 6.02 × 10²⁴. Instead, the value is 6.02 × 10²³ per mole. Exam tip: Write the Avogadro constant in standard form as 6.02 × 10²³ per mole before substituting values.

    See it

    A flowchart with the Avogadro constant, 6.02 × 10²³ per mole, at the top. From it, three branches lead down. The first branch states that particles may be atoms, molecules or ions. The second branch gives the rule: number of particles equals number of moles multiplied by 6.02 × 10²³. The third branch gives the reverse rule: number of moles equals number of particles divided by 6.02 × 10²³. From the second branch, a further step states that for a molecular substance, the number of atoms equals the number of molecules multiplied by the number of atoms in the formula.
    It shows the Avogadro constant and the two conversions between moles and particles, plus the extra step for counting atoms in a molecule.

    Key words

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    Avogadro constant

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    Particle number and amount of substance

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    Atoms, molecules and ions

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    See every definition
    Avogadro constant
    The number of atoms, molecules or ions in a mole of a given substance, with a value of 6.02 x 10²³ per mole.
    Particle number and amount of substance
    The number of particles is the number of moles multiplied by 6.02 × 10²³, and the number of moles is the number of particles divided by 6.02 × 10²³.
    Atoms, molecules and ions
    The particles in a mole may be atoms, molecules or ions, and the particle type must be stated.

    Label the diagram

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    The diagram again, with 2 boxes numbered instead of named. A flowchart with the Avogadro constant, 6.02 × 10²³ per mole, at the top. From it, three branches lead down. The first branch states that particles may be atoms, molecules or ions. The second branch gives the rule: number of particles equals number of moles multiplied by 6.02 × 10²³. The third branch gives the reverse rule: number of moles equals number of particles divided by 6.02 × 10²³. From the second branch, a further step states that for a molecular substance, the number of atoms equals the number of molecules multiplied by the number of atoms in the formula.
    • 1Box 1

    • 2Box 2

    0 of 2 labelled

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    Test your understanding of Moles (HT only): The number of atoms, molecules or ions in a mole of a given substance is the Avogadro constant. The value of the Avogadro constant is 6.02 x 10²³ per mole.

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