Prediction of high pressure properties of complex mixtures without knowledge of their composition as a problem of thermodynamic linear analysis

Abstract We propose a mathematical framework, which argues the possibility to predict thermodynamic properties of molecular liquids and their mixtures at elevated pressures using their properties measured at ambient conditions only by considering such procedure as a modified analogue to the linear analysis procedure known from the theory of dynamical system when time is replaced by one of PVT quantities. This approach reveals reasons, why so-called isothermal Fluctuation Theory-based Equation of State has universal effectiveness for different classes of liquid. Further, we generalize this line of reasoning on the case of the speed of sound and other thermodynamic quantities, which can be derived from such data via the acoustic route. This approach is illustrated among others by example of SRS diesel calibrating liquid, for which new original set of experimental data for a wide range of temperatures and pressures is reported.