maxwell boltzman distribution


by marmot
Tags: boltzman, distribution, maxwell
marmot
marmot is offline
#1
Feb8-09, 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

"%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?
Phys.Org News Partner Science news on Phys.org
Simplicity is key to co-operative robots
Chemical vapor deposition used to grow atomic layer materials on top of each other
Earliest ancestor of land herbivores discovered
marmot
marmot is offline
#2
Feb8-09, 11:41 PM
P: 53
nvm i solved it


Register to reply

Related Discussions
maxwell-boltzman distribution under gallilean transformation Atomic, Solid State, Comp. Physics 1
Complicated Maxwell Boltzman Distribution Integration Introductory Physics Homework 9
Partition function & Boltzman, Maxwell distri Classical Physics 4
How is the maxwell-boltzman distribution comparable to canonical distribution? Advanced Physics Homework 0