## The Maxwell Distribution (1)

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 \[\Delta v= \Delta v_x \Delta v_y \Delta v_z? \]

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The Maxwell Distribution