A novel modification of ionic liquid mixture density based on semi-empirical equations using laplacian whale optimization algorithm

The main motivation of this study is development of density prediction of mixture including ionic liquid (IL) using semi-empirical and cubic equations of state (CEoS). The considered systems are contained of 51 ILs, 41 solvents and 4626 data point in the wide temperature range (278.15–348.15 K), ionic liquid mole fraction (0.0040–0.9977) and atmospheric pressure. Six simple semi-empirical equations with different mixing rules and two CEoSs (Soave-Redlich-Kwong EoS and Patel-Teja EoS) is investigated to predict the IL-mixture density. For each semi-empirical equation, the coefficients are optimized using laplacian whale optimization algorithm based on cation-family. These generalized modifications have not been used to ILs beforehand consequently, the accuracy and appropriateness of these equations to predict IL-mixture density are unsknown until now. The obtained results based on semi-empirical equations indicate that the performed modification provides low deviation of experimental data and can be applied by confidence in engineering and thermodynamic calculations. However, the results based on two CEoS show inacceptable accuracy.