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Matter: Very Simple

Moles, the Avogadro constant and the Boltzmann constant

  • 3 things to know
  • Components 01, 02 and 03

Overview

Recall questions on the values, units and relation of the three constants, counting molecules and moles, the mass of one molecule, molar volume, and why gas laws count particles.

What you need to know

Answer each one before you reveal it.

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Key term

Define the mole.

Key term

How are the Boltzmann constant, the Avogadro constant and the molar gas constant related?

Key term

Show by calculation that the Boltzmann constant and the Avogadro constant together give the molar gas constant.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define the mole.

    Model answer

    A mole is the amount of substance containing as many particles as the Avogadro constant, 6.02 × 10²³.

  2. 2

    Give the value and unit of the Avogadro constant.

    Model answer

    It is 6.02 × 10²³ mol⁻¹.

  3. 3

    Give the value and unit of the Boltzmann constant.

    Model answer

    It is 1.38 × 10⁻²³ J K⁻¹.

  4. 4

    Give the value and unit of the molar gas constant.

    Model answer

    It is 8.31 J mol⁻¹ K⁻¹.

  5. 5

    How are the Boltzmann constant, the Avogadro constant and the molar gas constant related?

    Model answer

    The molar gas constant is the Boltzmann constant multiplied by the Avogadro constant, R = Nₐ k.

  6. 6

    Show by calculation that the Boltzmann constant and the Avogadro constant together give the molar gas constant.

    Model answer

    1.38 × 10⁻²³ × 6.02 × 10²³ = 8.31 J mol⁻¹ K⁻¹.

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