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Relation between kinetic energy and temperature 
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#1
Apr112, 07:11 AM

P: 40

Where does the 3/2 come from?
[tex]\frac{1}{2} mv^2 = \frac{3}{2} kT [/tex] 


#2
Apr112, 07:26 AM

Sci Advisor
Thanks
PF Gold
P: 12,268

A particle can move in any of three directions (that's where the 3 comes from), with kt/2 being the kinetic energy carried by motion on each the x,y or z dimensions.
This link gives a short and sweet bit of book work. That Hyperphysics site is good for many things, actually. 


#3
Apr112, 07:28 AM

Mentor
P: 41,579




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