[The New Physics and Its Evolution by Lucien Poincare]@TWC D-Link bookThe New Physics and Its Evolution CHAPTER III 46/48
Tait and Dewar have calculated that, in a good modern vacuum, the length of the free path of the remaining molecules not taken away by the air-pump easily reaches a few centimetres. By developing this theory, we come to consider that, for a given temperature, every molecule (and even every individual particle, atom, or ion) which takes part in the movement has, on the average, the same kinetic energy in every body, and that this energy is proportional to the absolute temperature; so that it is represented by this temperature multiplied by a constant quantity which is a universal constant. This result is not an hypothesis but a very great probability.
This probability increases when it is noted that the same value for the constant is met with in the study of very varied phenomena; for example, in certain theories on radiation.
Knowing the mass and energy of a molecule, it is easy to calculate its speed; and we find that the average speed is about 400 metres per second for carbonic anhydride, 500 for nitrogen, and 1850 for hydrogen at 0 deg.
C.and at ordinary pressure.
I shall have occasion, later on, to speak of much more considerable speeds than these as animating other particles. The kinetic theory has permitted the diffusion of gases to be explained, and the divers circumstances of the phenomenon to be calculated.
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