Association and the Equation of State

A form of the generalized gas law considering explicitly association into all possible species is derived. This law has the additional variables βi, [open phi], and ΣNx. When βi which is a function of the ratio of the surface of the container to the volume is neglected, as it can be at larger volumes, then the equation can be solved. Using the results derived from association theory, this gas law is developed into the form of the virial equation. The virial coefficients are functions of the equilibrium constants of association and the excluded volumes. A method of solution is indicated whereby the equilibrium constants and the excluded volumes of the individual j-mers can be obtained serially.