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How to deduce $E=(3/2)kT$?
It says in my course notes for undergraduate environmental physics that a particle has so-called "kinetic energy"
$$E=\frac{3}{2}kT=\frac{1}{2}mv^{2}$$
Where does this formula come from? What is $k$?...
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$E=kT$ or $\frac32kT$?
Basically, which is the correct formula for thermal energy, and is this the same as kinetic energy? My notes are pretty conflicting on this topic, and I'm getting pretty confused.