Gas pressure and the ideal gas law

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Presentation transcript:

Gas pressure and the ideal gas law Assume specular collisions* Change in momentum: *Bold assumption – but more general calculation gives same result.

Molecular Flux Element of area on the wall of the container where molecules exert a pressure due to their change in momentum upon bouncing from the wall. In time dt , molecules traveling at angle  will each sweep out a volume vdtcosdA.

Gas pressure and the ideal gas law Kinetic theory provides a natural interpretation of the absolute temperature of a dilute gas. Namely, the temperature is proportional to the mean kinetic energy (e ) of the gas molecules. The mean kinetic energy is independent of pressure, volume, and the molecular species, i.e. it is the same for all molecules.