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Topic: Maxwell Distribution Vp  (Read 3685 times)

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Offline TheShehanigan

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Maxwell Distribution Vp
« on: August 22, 2009, 01:45:21 PM »
Hey guys,

I'm working out on my Physical Chemistry problems, and deriving each equation before I use it for knowledge of where they come from, but I can't for the live of me derive the equation for the Most Probable Speed w/ the Maxwell Distribution.

I'm arriving to:

F'(v) = 4*pi  * 2v  *  (M/2RT)3/2  *  e-mv2/2RT  * -mv/RT 

Setting it to 0, and there I get stuck. How am I supposed to solve this if I can't work out multiplication or anything, since I won't be able to solve for 0, or take the ln of 0. Any ideas/something I might be doing wrong deriving?


Offline Yggdrasil

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Re: Maxwell Distribution Vp
« Reply #1 on: August 22, 2009, 03:00:52 PM »
Your expression for dF/dv is wrong.  Remember to use the product rule when taking the derivative.  Also, when you solve for zero, here are two (related) hints.

1)  remember that you can divide by any non-zero terms.
2)  consider whether ex = 0 is possible for any value of x

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