- #1

JohnnyGui

- 784

- 51

I know that from the piston experiment a certain constant value can be found for the amount of Joule per Kelvin for a gas and that from the derivation of the Maxwell Boltzmann distribution for gases that each particle has on average an energy of ##\frac{3}{2} k_B T##. But I don't see how it is concluded that the number ##3## in that equation must be related to the number of degrees of freedom of a gas particle.

For example, was this deduced by somehow derivig a one-dimensional Maxwell-Boltzmann Distribution for energy which would yield an average energy of ##\frac{1}{2}k_B T##? Or was it some kind of empirical conclusion?