Modification of a statistical mechanically-based equation of state: Application to ionic liquids

Abstract

It is the purpose of this paper to determine the volumetric properties of some ionic liquids (ILs) using the modified version of Tao–Mason (TM) equation of state (EOS). The studied ILs include the cations: imidazolium, phosphonium, pyridinium, pyrrolidium and anions: tetrafluoroborate, bis(trifluoromethylsulfonyl) imide, and hexafluorophosphate. The densities of these compounds were calculated by the usage of the modified TM EOS at several temperatures and pressures. The most important parameter in this EOS is the second virial coefficient which is calculated from a two-parameter corresponding states correlation along with two constants enthalpy of vaporization and molar density both at 298K. The other remaining parameters (i.e., α(T) and b(T)) that appeared in the EOS were calculated from simple equations. Novelty of this work is the modification of the original TM EOS and usage of enthalpy of vaporization and molar density instead of critical and Boyle parameters in the original TM EOS. The good harmony between the calculated and literature density values of ILs confirms the ability of the modified TM EOS in predicting volumetric properties of this class of fluids. Overall average absolute deviation (AAD) of the calculated densities from 3394 experimental data points is 1.48%.