T32 Interim Conclusions
According to the previous considerations, the following quantities are invariant in the sense of STR :
- pressure P n( and pressure changes )
- particle number N jand amount of substance n j= N / NA
- thermodynamic efficiency as a quotient of temperatures
The following quantities are transformed by multiplication by the root factor:
- volume V j( and volume changes )
- mean particle velocity u
- average kinetic energy of the particles
- the products k·T nand R·T
- heat quantities Qj
- internal energy U j
- thermodynamic workj P · V
- enthalpy H
The following values are transformed by dividing by the root factor:
- total energy j E j
- particle density
There is no simple transformation in the sense of section 2 for the following process variable:
- performed work jW
The following laws continue to apply mutatis mutandis for all inertial observers:
- the first law of thermodynamics
- the second law of thermodynamics
- the ideal gas law mmmmm P · V j= n · R · T = N · k · T
- the relation mmmmmimmmm dS = dQ / T
For non-relativistic ideal gases we further have the invariant relationships
Up to now we did not use the final result of the first part of this treatise:
T' = T
Combining the invariance of temperature with the results of sections 22 to 30 will yield a quite simple final statement: All important equations of thermodynamics are invariant in the sense of STR !