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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

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    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.
     
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