Decompression function

  1. Hi,
    I'm trying to assemble a function describing the decompression of an ideal gas in a infinitely long box of side L. The gas is initially confined in a volume [tex]L^3[/tex] at one end.

    So far I got the following formula which gives the time the i-th particle takes to reach the barrier at x=L:

    [tex]
    t_i = \frac{2 L - x_i}{\overline{v} \cos(a_i)}
    [/tex]

    where

    [tex]x_i[/tex] is a random variable between 0 and L
    [tex]a_i[/tex] is a random variable between 0 and [tex]\pi /2[/tex]
    [tex]\overline{v}[/tex] is the average speed of a gas particle

    What I need is [tex]n(t) = f(N, L, \overline{v},t)[/tex]

    where

    N is the total number of particles
    n(t) is the the number of particles in the original volume [tex]L^3[/tex] after time t

    Please, help. I'm stuck a long time in this.

    Thanks
     
    Last edited: Nov 19, 2008
  2. jcsd
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