treatise on thermodynamics
by max planck
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...constant may be established. 69. Joule performed such an experiment as described, and found that for perfect gases 2 = #1- He put the two communicating vessels, one filled with air at high pressure, the other exhausted, into a common water-bath at the same temperature, and found that, after the air had ex- panded and equilibrium had been established, the change of temperature of the water-bath was inappreciable. It immediately follows that, if the walls of the vessels were 48 THERMO D YNA MICS. non-conducting, the final temperature of the total mass of the gas would be equal to the initial temperature ; for other- wise the change in temperature would have communicated itself to the water-bath in the above experiment. Hence, if the internal energy of a nearly perfect gas remains unchanged after a considerable change of volume, then its temperature also remains almost constant. In other words, the internal energy of a perfect gas depends only on the temperature, and not on the volume....
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