The coefficients of terms in this equation are polynomials in the coefficients of the configuration integral, which is defined in terms of the Mayer f-function and can be evaluated via (*) cluster expansion.
One term in this equation contains a factor that represents the total density of bound and scattering states in the system. That second term in this equation vanishes when the derivative of the compressibility with respect to pressure is zero; the temperature at which that occurs is named for Boyle. The coefficients of terms in this equation are polynomials in the coefficients of the configuration integral, which is defined in terms of the Mayer f-function and can be evaluated via (*) cluster expansion. Retaining only the first two terms of this equation leads to a derivation of the van der Waals equation. For 10 points, name this generalization of the ideal gas law which expresses the pressure of a system as a power-series in density. which shares its name with a theorem relating the average potential and kinetic energies of a system.
One term in this equation contains a factor that represents the total density of bound and scattering states in the system.
virial expansion [or virial equation]