The generalized scaling laws based on some deductions from the van der Waals equation

Some thermodynamic relations that follow from the van der Waals equation are considered. It is shown that they are applicable to real substances and model systems described by absolutely different equations of state. These relations are associated with definite geometric lines on the density–temperature plane. The data for the model systems that substantiate the derived regularities were calculated by numerical simulation methods. For real substances, the relevant databases constructed according to experiments were used. It has also been established by numerical simulation that the limitations of the regularities under investigation are related to the nature of attraction in the interparticle interaction potential.