
#1
Nov1908, 01:45 PM

P: 134

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 ith 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 


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