On the linearization of Antoine’s law

Abstract

A multivariate linearized Antoine’s equation (MLAE) is presented in this short note. To our knowledge, it is the first time this multi-linear equation is proposed in the literature. Compared with initial null parameters or « Clapeyron » type initial parameters, that do not take into account the highly non-linear correlation between the parameters B and C, our procedure gives a very good initial guess for the non-linear regression of vapor pressure versus temperature. Fortunately, the multi-linear expression of linearized Antoine’s law is obtained in a simple, non iterative manner. Examples relevant from thermo-dynamical literature are used to show the quality of our MLAE parameters in order to converge to non-linear regression solution of Antoine’s model and to compare our approach with the classical ones.