New Derived Perturbation‒Theory‒Based Regularity Using Yukawa Potential

Understanding of the molecular behavior of fluids is of the certain complexity at themolecular scale. So, the attention to the thermodynamics models and also describing equations ofstate the fluids is indispensible. In the present work, newly‒derived adjustable isothermregularity [1-2] has been introduced for the variety of dense fluids, both compressed liquids anddense supercritical fluids, in the framework of average hard‒core Yukawa potential energy byrecourse to liquid’s perturbation theory (TPT) [3]. The regularity predicts that the isotherm Z‒Zrefis a linear function of reciprocal cube-power of density, where Z is the compression factor [4], Zrefis the compression factor of reference system [5] defined in liquid’s TPT‒theory. The linearparameters are identified as interaction coefficients (the intercept A and the slope B) related toattraction only and both depend on temperature and also are used to evaluate the molecularparameters such as effective molecular diameter and Yukawa screening length. The p‒v‒Tcorrelations of regularity were compared to the experimental data at the different range oftemperature for the various ranges of dense fluids and the reasonable results were obtained. Theresults mirror the fact that the perturbation‒theory‒based regularity is valid merely for densitiesgreater than Boyle density.

کلیدواژه ها:

Liquid’s perturbation theory ، Compression factor ، Equation of state (EoS) ، Yukawa potential