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Thermal Physics

The Avogadro constant, the mole and pV = NkT

  • 3 things to know
  • Unit A2 1

Overview

Value and unit of the Avogadro constant and value and unit of the Boltzmann constant.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Key term

State the ideal gas equation in the form using the number of molecules, and define every symbol.

Key term

State the value and unit of the Avogadro constant.

Key term

State the value and unit of the Boltzmann constant.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the ideal gas equation in the form using the number of molecules, and define every symbol.

    Model answer

    pV = NkT, where p is the pressure in Pa, V the volume in m³, N the number of molecules, k the Boltzmann constant of 1.38 × 10⁻²³ J K⁻¹ and T the absolute temperature in K.

  2. 2

    State the value and unit of the Avogadro constant.

    Model answer

    The Avogadro constant is Nₐ = 6.02 × 10²³ mol⁻¹.

  3. 3

    State the value and unit of the Boltzmann constant.

    Model answer

    The Boltzmann constant is k = 1.38 × 10⁻²³ J K⁻¹.

  4. 4

    How is the Boltzmann constant related to the molar gas constant and the Avogadro constant?

    Model answer

    The Boltzmann constant is the molar gas constant shared out between the molecules in one mole, k = R/Nₐ.

  5. 5

    Show that R/Nₐ gives the accepted value of the Boltzmann constant.

    Model answer

    R/Nₐ = 8.31/(6.02 × 10²³) = 1.38 × 10⁻²³ J K⁻¹, which is the quoted value of k.

  6. 6

    How is the number of molecules in a sample found from the number of moles?

    Model answer

    The number of molecules is the number of moles multiplied by the Avogadro constant, N = nNₐ.

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