Maxwell boltzman distribution

  1. 1. The problem statement, all variables and given/known data
    A sealed bottle at 1 atm of pressure holds 1 mole of neon and 1 mole of argon gas at a temperature of 295 K.

    Find the number of molecules of neon which have velocities between 100 and 200 (m/s).


    2. Relevant equations

    boltzman distribution

    3. The attempt at a solution

    "%Maxwell-Boltzmann velocity distribution
    syms v
    m= 0.0201797;
    T=295;
    R=8.31
    btm=2*pi*R*T;
    exponet=((-m*v^2)/(2*R*T))
    F=[(4*pi*((m/btm)^1.5))*v^2*exp(exponet)]*1E24
    ezplot(F,[0 1500])
    integral_all=vpa(int(F, v, 0, inf))
    %integral_all = 1 so it checks out
    integral_range=vpa(int(F, v, 100, 200))


    so I plotted the speed distribution and integrated it from 0
    to infinity and it equals 1, so I think I'm on the right
    track. However you'll notice the y axis units don't really
    make sense. Even when I fudge it by E24 it's still doesn't
    come out right. (I know what you're thinking about a 24
    order of magnitude fudge) I get about 4E20 particles which
    apparently isn't the right answer. After all this, I'm not
    sure if I can bring myself to count up the little hash marks
    on the screen to get the area, at least not tonight anyway. "

    I copied this from my class's forum btw. i didnt write this but i did exactly the same thing (and no i didnt copy him, its just the obvious choice). can someoene help us tellin us what in gods name we are doing wrong?
     
  2. jcsd
  3. nvm i solved it
     
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