Lecture 10 : The Constants of Van der Waals Equation and Compressibility Chart
Virial Equations of State
For any gas, we can write
(10.7)
or,
(10.8)
An alternate expression is
(10.9)
Both expressions are known as virial expansions introduced by Kamerlingh Onnes. etc are called virial coefficients. and are called second virial coefficients, and are called third virial coefficients and so on. For a given gas, these coefficients are functions of temperature only.
etc are called virial coefficients. 
and 
are called second virial coefficients, 
and 
are called third virial coefficients and so on. For a given gas, these coefficients are functions of temperature only. 
