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Maxwell boltzman distribution 
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#1
Feb809, 10:38 PM

P: 53

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 "%MaxwellBoltzmann 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
Feb809, 11:41 PM

P: 53

nvm i solved it



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