Explain why, at very high temperatures and low pressures, the behaviour of a real gas approaches that of an ideal gas.

IB DP Chemistry Higher Level (2023 syllabus) — S1.5 Ideal gases · Explain · 4 marks · View as Markdown

Written & reviewed by James Millett — Biology (Imperial College London), PGCE Science (University of Cambridge).

Model answer (4 marks)

At very high temperatures the average kinetic energy of the gas molecules is large, so the kinetic energy of the molecules far exceeds the energy of any intermolecular attractions. Consequently the attractive forces become negligible and the molecules behave as if they do not attract each other. At very low pressures the molecules are far apart, so the volume occupied by the molecules themselves is very small compared with the total volume of the container. Thus the assumption of negligible molecular volume is satisfied. Because both key assumptions of the ideal gas model – negligible molecular volume and negligible intermolecular forces – are met, the real gas follows the ideal gas law pV=nRT.

Examiner tips

  • Use the two key assumptions of the ideal gas law – negligible volume and no forces – and explain how high T and low P satisfy each.
  • Show the logical link: high T → kinetic energy ≫ forces; low P → molecules far apart → volume negligible.
  • Keep the answer concise and use the exact terminology from the mark scheme.

Mark scheme (4 marks)

  1. At high temperatures, molecules have much greater (average) kinetic energy
  2. Intermolecular forces become negligible compared to the kinetic energy of the molecules, so molecules behave as if no attractions exist between them
  3. At low pressures, molecules are far apart / the volume of the molecules themselves is negligible compared to the total volume of the container
  4. Both assumptions of the ideal gas model (negligible molecular volume and no intermolecular forces) are therefore satisfied, so the real gas obeys pV = nRT

Key terms in this question

ideal gas

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