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In an ideal gas of monatomic particles, the average kinetic energy is

<K>=(3/2)*k*T

In a more general ideal gas, the average energy of each particle is

<K>=(d/2)*k*T

where d is the number of degrees of freedom. There isn't a clear distinction between kinetic and potential energy for general degrees of freedom.

For normal (non-negative) temperatures, as temperature increases, so does energy. The exact relation depends on the entropy of the system.

T=dU/dS, where d is the partial derivative.

http://en.wikipedia.org/wiki/Equipartition_theorem

http://en.wikipedia.org/wiki/Ideal_gas

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Zackery Schumm

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