OCR · A-Level · Physics

    Course version: H556 · Version from Sept 2015

    (a) amount of substance in moles; Avogadro constant N A equals 6.02 × 10…

    Full specification wording

    Ideal gases: (a) amount of substance in moles; Avogadro constant N A equals 6.02 × 10 23 mol –1

    The amount of substance is measured in moles, symbol n.

    Checked against the OCR H556 specification (opens in a new tab) on .

    • Point 1 of 10
    • 3 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    The amount of substance is measured in moles, symbol n. One mole contains the Avogadro constant number of particles, N_A = 6.02 × 10²³ mol⁻¹. The number of particles N in a sample is therefore N = nN_A, and the number of moles is n = N/N_A. For example, 2.00 mol of helium contains 2.00 × 6.02 × 10²³ = 1.204 × 10²⁴ atoms. The unit mol⁻¹ shows that N_A is the number of particles per mole, so multiplying moles by N_A gives a pure number of particles. This links the macroscopic amount of gas to the microscopic particle count used in the ideal gas equation pV = nRT and in kinetic theory.

    What earns the marks

    • States that amount of substance is measured in moles, symbol n.
    • Recalls the Avogadro constant as N_A = 6.02 × 10²³ mol⁻¹.
    • Uses N = nN_A to convert between amount in moles and number of particles.
    • Uses n = N/N_A to convert a particle count into moles.
    • Interprets the unit mol⁻¹ as particles per mole.

    Common mistakes and how to put them right

    • Writing the Avogadro constant without its unit or with the wrong unit.

      Put it right: Write N_A = 6.02 × 10²³ mol⁻¹.

    • Confusing the Avogadro constant with the gas constant R.

      Put it right: N_A counts particles per mole, while R appears in pV = nRT and has units J mol⁻¹ K⁻¹.

    • Multiplying by N_A when converting particles to moles.

      Put it right: Divide the number of particles by N_A to find n.

    Exam tips

    • Check whether the question gives moles or a particle count, then choose N = nN_A or n = N/N_A accordingly.
    • Keep the unit mol⁻¹ attached to N_A so you can see that the conversion cancels correctly.
    • Give answers to a sensible number of significant figures, matching the data given.

    Try the lesson

    The start of the Ideal gases: (a) amount of substance in moles; Avogadro constant N A equals 6.02 × 10 23 mol –1 lesson, made from checked teaching notes for this specification point.

    Listen

    The amount of substance is measured in moles, symbol n. One mole contains the Avogadro constant number of particles, N_A = 6.02 × 10²³ mol⁻¹. The number of particles N in a sample is therefore N = nN_A, and the number of moles is n = N/N_A. For example, 2.00 mol of helium contains 2.00 × 6.02 × 10²³ = 1.204 × 10²⁴ atoms. The unit mol⁻¹ shows that N_A is the number of particles per mole, so multiplying moles by N_A gives a pure number of particles. This links the macroscopic amount of gas to the microscopic particle count used in the ideal gas equation pV = nRT and in kinetic theory. A strong answer earns marks for these points. States that amount of substance is measured in moles, symbol n. Recalls the Avogadro constant as N_A = 6.02 × 10²³ mol⁻¹. Uses N = nN_A to convert between amount in moles and number of particles. Uses n = N/N_A to convert a particle count into moles. A common slip: Writing the Avogadro constant without its unit or with the wrong unit. Instead, write N_A = 6.02 × 10²³ mol⁻¹. Exam tip: Check whether the question gives moles or a particle count, then choose N = nN_A or n = N/N_A accordingly.

    See it

    A top-down flowchart. The first box reads 'Amount of substance n in moles' and points to a box reading 'Avogadro constant N_A = 6.02 × 10²³ mol⁻¹'. That points to 'N = nN_A gives number of particles N', which points to 'n = N/N_A gives amount in moles'. That points to 'Links macroscopic amount to microscopic particle count', which finally points to 'Used in ideal gas equation pV = nRT and kinetic theory'.
    Shows how the amount in moles and the Avogadro constant convert between moles and particle count, linking to the ideal gas equation and kinetic theory.

    Put it in order

    Put these steps in the order they happen.

    1. 1. N = nN_A gives number of particles N
    2. 2. Avogadro constant N_A = 6.02 × 10²³ mol⁻¹
    3. 3. Amount of substance n in moles
    4. 4. Used in ideal gas equation pV = nRT and kinetic theory
    5. 5. Links macroscopic amount to microscopic particle count
    6. 6. n = N/N_A gives amount in moles

    Key words

    Say what each word means before you turn the card.

    Amount of substance

    Try answering aloud or in your head before turning the card.

    Avogadro constant

    Try answering aloud or in your head before turning the card.

    Conversion between moles and number of particles

    Try answering aloud or in your head before turning the card.

    See every definition
    Amount of substance
    A quantity measured in moles, symbol n.
    Avogadro constant
    N_A = 6.02 × 10²³ mol⁻¹, the number of particles per mole.
    Conversion between moles and number of particles
    The number of particles N in a sample is N = nN_A, and the number of moles is n = N/N_A.

    Label the diagram

    Some boxes have lost their names. Pick the right name for each number.

    The diagram again, with 3 boxes numbered instead of named. A top-down flowchart. The first box reads 'Amount of substance n in moles' and points to a box reading 'Avogadro constant N_A = 6.02 × 10²³ mol⁻¹'. That points to 'N = nN_A gives number of particles N', which points to 'n = N/N_A gives amount in moles'. That points to 'Links macroscopic amount to microscopic particle count', which finally points to 'Used in ideal gas equation pV = nRT and kinetic theory'.
    • 1Box 1

    • 2Box 2

    • 3Box 3

    0 of 3 labelled

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