Excess Molar Enthalpies for the Binary and Ternary Mixtures of Cyclohexane, Tetrahydropyran, and Piperidine at 308.15 K and Atmospheric Pressure: Experimental Measurements and Correlations

Abstract

International audienceExcess molar enthalpies for the binary and ternary mixtures of cyclohexane, tetrahydropyran, and piperidine have been measured using a Calvet microcalorimeter at 308.15 K and atmospheric pressure. All of the binary and ternary systems show endothermic behavior. The experimental binary results are correlated using the Redlich−Kister equation. The excess molar enthalpies for the ternary mixture are correlated using the Cibulka equation. The capability of an artificial neural network algorithm to model these data is finally studied

Experimental Measurements and Correlations of Excess Molar Enthalpies for the Binary and Ternary Mixtures of (Cyclohexane, 1,4-Dioxane and Piperidine) or (Cyclohexane, Morpholine and Piperidine) at 308.15 K and Atmospheric Pressure

“…Continuing our previous study on mixtures containing the above cited cyclic compounds, − we report here experimental excess molar enthalpies, at 308.15 K and atmospheric pressure, for cyclohexane + 1,4-dioxane + piperidine and cyclohexane + morpholine + piperidine ternary mixtures and 1,4-dioxane or morpholine + piperidine constituent binaries. The data, for the other constituent binaries, were previously reported. − The binary and ternary experimental data were measured using a Calvet microcalorimeter and were correlated using the empirical equations of Redlich–Kister and Cibulka, respectively. The capability of an artificial neural network (ANN) algorithm as an alternative method to model these (binary and ternary) data was also investigated.…”

“…The experimental excess molar enthalpy data, for piperidine + 1,4-dioxane or morpholine binary mixtures are presently reported in Table , whereas those for cyclohexane containing binary mixtures were previously reported. − The data for all these binary mixtures are plotted in Figure . The experimental results for cyclohexane + 1,4-dioxane + piperidine and cyclohexane + morpholine + piperidine ternary mixtures are reported in Tables and and also plotted in Figures and , respectively.…”

“…Excess molar enthalpies, H m, jk E /(J·mol –1 ), for binary systems, at T = 308.15 K. Solid symbols, experimental data; hollow sysmbols, results using ANN: (∗,☆), { x cyclohexane + (1 – x ) morpholine}; (◆,◇), { x cyclohexane + (1 – x ) 1,4-dioxane 1 }; (●,○), { x cyclohexane + (1 – x ) piperidine}; (■,□) { x 1,4-dioxane + (1 – x ) piperidine}; (▲,△), { x morpholine + (1 – x ) piperidine}. Solid lines: fit experimental results with the Redlich–Kister equation …”

“… a s = [∑ i = 1 N ( H i ,exp E – H i ,calc E )/( N – p )] 1/2 where N is the number of experimental data and p is the number of parameters of eq . b From ref . c From ref . d From ref . …”

“…The uncertainty in the excess molar enthalpy is less than 3 %, regarding the performances of the used flow calorimeter. As in our previous studies, − the excess molar enthalpy H m,12+3 E was determined for several pseudobinary mixtures in which component 3 (piperidine) was added to binary mixtures of components 1 (cyclohexane) and 2 (1,4-dioxane or morpholine). For this purpose, binaries with fixed mole ratios, x 1 / x 2 , were prepared by mass.…”