1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Physical Chemistry- Maxwell Boltzmann Distribution

  1. Sep 26, 2010 #1
    1. The problem statement, all variables and given/known data

    Use the maxwell boltzmann distribution to derive an expression for <v^3>

    2. Relevant equations
    <v>=(8RT/piM)^1/2


    3. The attempt at a solution
    I know that you have to integrate from 0 to infinity v^3p(v)dv.. but I don't really know how to integrate this. I just need to find a general integral then I can look it up in the handbook for chemistry and physics...
     
  2. jcsd
  3. Sep 26, 2010 #2

    vela

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Education Advisor

    Use the substitution u=v2 (maybe throw in the constants while you're at it), and you'll have an integral in the form of the gamma function.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook