Absolute Temperature Relation to Thermodynamics

The absolute temperature scale may be defined in terms of the properties of an ideal gas through its equation of state. Thus from the ideal gas law for 1 mole of gas 

This identification now makes for a completely consistent relation between the statistical properties of the gas and the thermodynamic varia-ables. The total energy of the gas, which is simply its kinetic energy for ideal monatomic gases, becomes [Eq. (VI.2.2)] for 1 mole 

The following shows the appearance of some of our former quantities expressed in terms of T instead of the parameter a. 

A table of values for the fundamental constants fc, Vav, 7 , etc., will be found in Appendix A. 

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