(225a) Discovery of the Universal Van Der Waals Generic Cubic Equation of State for the Continuity of Gaseous and Liquid States of Fluids and Mixtures

A reformulation of the Van der Waals (VDW) 1873 equation as a universal cubic equation of state is presented for predicting thermodynamic, thermophysical and transport properties of pure substances and mixtures over the entire range of the PVT states including the gas-liquid critical point. The reformulated equation which has been respectfully named the Lawal-Lake-Silberberg (LLS) equation is established as a substance-based equation with four molecular-inspired parameters that replicate molecular attraction, size, structure and shape of pure substances. The LLS equation incorporates two-continuously differentiable temperature functions for accurate prediction of fluid properties at low- and high-pressures and temperatures and three sets of binary interaction constants are used to relate pure substance parameters to composition of the mixtures and that guaranteed prediction of accurate phase equilibria and volumetric properties. The use of judiciously design VDW gas-constant provides a non-kinetic theory approach of an ideal-gas limiting behavior into the LLS equation as a unifying framework of the universal equation of state for thermodynamic and transport properties. The extensively perceived critical anomaly of the VDW theory is not due to the VDW empiricisms but rather the culprits are the structure and shape parameters lacking in the cubic polynomial equations of state selected by Van der Waals and the subsequent improvements. This article is a triumph for the Nobel Laureates Johannes Diderik van der Waals of Leiden, The Netherlands on his 144^th birthday of the 1873 theory of the cubic equations-of-state that bears his name.