Calculation of the Liquid-Solid Phase Diagram and the Thermodynamic Quantities of the Binary System of Tetradecane and Hexadecane Using the Mean Field Theory

Abstract

The T - x phase diagram of a binary system of tetradecane + hexadecane is calculated using the Landau phenomenological model. Expressions derived for the phase lines are fitted to experimental data from the literature and the fitted parameters are determined for the transitions of liquid-solid I, liquid-solid II and solid I-solid II in this binary system. The temperature dependence of the thermodynamic quantities, including the order parameter, susceptibility, enthalpy, entropy, heat capacity, thermal expansion and the isothermal compressibility are predicted for this solid-liquid equilibrium system of tetradecane + hexadecane. It is found that the mean field model developed here describes satisfactorily the observed behavior of the first order transition in the tetradecane + hexadecane system.