Physical Chemistry- Maxwell Boltzmann Distribution

AI Thread Summary
The discussion focuses on deriving an expression for <v^3> using the Maxwell-Boltzmann distribution. The user acknowledges the need to integrate v^3p(v) from 0 to infinity but is unsure how to proceed with the integration. A suggested approach involves using the substitution u = v^2, which could simplify the integral to a form related to the gamma function. The user plans to reference a chemistry and physics handbook for the general integral once the substitution is made. This highlights the importance of understanding integration techniques in physical chemistry.
sdoyle1
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Homework Statement



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

Homework Equations


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


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...
 
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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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