9873

Velocity Averages for Gas Particles

This Demonstration shows four measures of the distribution of the velocities of particles with variable molar masses at different temperatures. The four parameters are the most probable velocity , in blue, the average velocity , in red, the root-mean-square velocity in yellow, and the standard deviation of the velocity , in green.

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DETAILS

The Maxwell-Boltzmann distribution is given by:
, where is the particle mass, is the Boltzman constant, is the temperature of the system, and is the molecular velocity.
The formulas for computing the four velocities are:
, where is the ideal gas constant (), is the temperature in kelvin, and is the molar mass in kilograms,
,
,
.
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