Page:Zur Thermodynamik bewegter Systeme (Fortsetzung).djvu/3

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We obtain

from which it is given under consideration of the first equation (14):

(17)

Finally, the momentum is according to (10):

(18)

If we summarize everything, we come to the result:

If a body whose state at rest is given by the variables , is adiabatically brought to velocity , then the state variables assume the value:

(14)
(14)
(17)
(16)
(18)

These equations are in agreement with the results of the paper of Planck[1]. Besides thermodynamics, Planck used the relativity principle, while stating equation (10) for momentum is essential in our work.

  1. Berliner Berichte, 1907, p. 542.