When the density of gas is high, it is well known that the simple equation of states for a perfect gas can no longer be expected to be valid. The most crude approximation to the equation of states for a dense gas is that of Van der Waal. If *P* is the pressure, *υ* the volume per molecule, *T* the temperature, and *k* the Boltzmann constant, then the Van der Waal equation is

(1)

where *a* and *b* are two constants, small in magnitude. The constant *b* is usually simply identified ...

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