1 / 6

Maxwell-Boltzmann velocity distribution

Maxwell-Boltzmann velocity distribution. Maxwell-Boltzmann speed distribution. Maxwell-Boltzmann speed distribution. v m. Gas pressure and the ideal gas law.

whitneyosborne
Download Presentation

Maxwell-Boltzmann velocity distribution

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Maxwell-Boltzmann velocity distribution

  2. Maxwell-Boltzmann speed distribution

  3. Maxwell-Boltzmann speed distribution vm

  4. 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.

  5. The probability density function • Let f(v)dv be the fractional number of molecules in the speed range from v to v + dv. • A probability distribution function has to satisfy the condition • We can then use the distribution function to compute the average behavior of the molecules: • The random motions of the molecules can be characterized by a probability distribution function. • Since the velocity directions are uniformly distributed, we can reduce the problem to a speed distribution function which is isotropic.

More Related