Furthermore, we find for the mean kinetic energy
of a molecule
We also have
With the help of the specific heats and the characteristic equation of the gas, the whole thermodynamic behavior of the gas is disclosed. All this has resulted from the identification of the mechanical and thermodynamic expressions for entropy and is an indication of the fruitfulness of the method pursued. PLANCK also shows that this method leads to the finding of results heretofore unknown.
[22]This differential equation is valid only for changes of temperature and volume of the body but not for its changes of mass and of chemical composition, for in defining entropy nothing was said of these latter changes.
Step e
Conversion of the General Expressions in (b) and (c) into more Precise ones by Finding and Inserting the Numerical Value of the Universal Constant k; Some of the Results
From the consideration of certain phenomena of radiation PLANCK found