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Kinetic Theory

The ideal gas equation of state

  • 3 things to know
  • Component 1

Overview

Value and unit of the molar gas constant, value and unit of the Boltzmann constant and boyle's law and the condition under which it holds.

What you need to know

Answer each one before you reveal it.

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Key term

State the equation of state for an ideal gas in its molar form, defining every symbol and its unit.

Key term

State the equation of state for an ideal gas in terms of the number of molecules, defining every symbol and its unit.

Key term

State the value and unit of the molar gas constant.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the equation of state for an ideal gas in its molar form, defining every symbol and its unit.

    Model answer

    The equation is pV = nRT, where p is the pressure in Pa, V is the volume in m³, n is the number of moles, R is the molar gas constant in J mol⁻¹ K⁻¹ and T is the thermodynamic temperature in K.

  2. 2

    State the equation of state for an ideal gas in terms of the number of molecules, defining every symbol and its unit.

    Model answer

    The equation is pV = NkT, where p is the pressure in Pa, V is the volume in m³, N is the number of molecules, k is the Boltzmann constant in J K⁻¹ and T is the thermodynamic temperature in K.

  3. 3

    State the value and unit of the molar gas constant.

    Model answer

    The molar gas constant R is 8.31 J mol⁻¹ K⁻¹.

  4. 4

    State the value and unit of the Boltzmann constant.

    Model answer

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

  5. 5

    Why must the temperature in pV = nRT be in kelvin rather than degrees Celsius?

    Model answer

    The equation states that pV is directly proportional to temperature, and that proportionality only holds on a scale whose zero is absolute zero.

  6. 6

    State Boyle's law and the condition under which it holds.

    Model answer

    Boyle's law states that the pressure of a fixed mass of gas is inversely proportional to its volume, provided the temperature stays constant.

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AThe equation is pV = NkT.
BThe pressure, p, is in Pa.
CThe volume V is in m³.

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