It has long been understood that phase changes are one way to accomplish separations of mixtures, and for liquid mixtures, the process of freezing followed by a thaw results in a high degree of purification for the final component in the mixture to melt. This thaw, into a liquid mixture, occurs at a lower temperature than the freeze/melting point of the highest-freeze-point component. As such, the freeze point is dependent on the mixture, and therefore, it is generally unknown for arbitrary mixtures along with associated phase change properties such as the enthalpy and entropy of fusion. In this work, forty-one freeze points of mixtures containing either bicyclohexyl or n-tridecane are measured and discussed. These molecules, neat have freeze points of 6.4 and −3.6 °C, respectively, which are well above the allowable maximum freeze point of jet-a fuel, but in lower concentration, these molecules may help to achieve compliance with all the requirements of ASTM D7566 fuel specification for sustainable aviation fuel. A predictive freeze point model for hydrocarbon mixtures is developed here using a Hess cycle, 1st law, and 2nd law analysis to determine the enthalpy and entropy of fusion, and thus, the freeze point of the mixture through the Gibbs free energy equilibrium condition for the solid−liquid phase changes. The first-principle-developed model is validated against the experimental freeze point measurements. It captures the nonlinearity with the mole fraction of the highest-freeze-point component (bicyclohexyl or ntridecane) and provides a conservative estimate for the freeze point at mole fractions between 0.065 and 0.25�where the freeze point varies considerably with changes in mole fraction.
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