MandysNotes

The Maxwell Distribution (1)

Saturday, 17 May 2014 00:00

The Maxwell Distribution

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Suppose we are given a certain quantity of an ideal gas at some fixed temperature, and we want to know what sort of distribution of velocities to associate with this gas.
That is, given a range of velocities, $\Delta v = v_\beta - v_\alpha,$
what is the number of molecules, $\Delta n,$with velocities in the region of phase space $\Delta v= \Delta v_x \Delta v_y \Delta v_z?$