Does heat have a infinite temperature.?
Heat does have a temperature although the two quantities are not the same. In any 'ordinary' thermodynamic system the partition of the particles varies with the negative exp of Kelvin temp. ie normally less particles with successively higher energies (Maxwell Boltzmann distribution)
If you could create a system where this population distribution was inverted, you would have by definition a negative absolute temperature (like in a laser system), where as the system gained energy, its temperature would fall.
Now if you could prepare a state with the same populations in each energy level, then thermodynamically that state would have infinite temperature (but finite energy)
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