Lesson Plan: Root-Mean-Square Speed of Ideal Gas Particles Physics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to determine the relationship between the absolute temperature of an ideal gas and the root-mean-square speed of its particles.


Students will be able to

  • use a model of single colliding gas particles that each transfers negligible kinetic energy in a collision with a container wall and apply the ideal gas law to show that the root-mean-square kinetic energy of a gas particle is directly proportional to the absolute temperature of an ideal gas,
  • use the equation 𝐾𝐸=3𝑘𝑇2 in all combinations,
  • use the equation 𝑃=13𝜌𝑣 in all combinations.


Students should already be familiar with

  • the ideal gas law,
  • the Boltzmann constant,
  • root-mean-square speed.


Students will not cover

  • most probable particle speed,
  • gas particle energies other than translational kinetic energy.

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