Liquid–Liquid Equilibria of the Ternary System Water + Acrylic Acid + 4-Methyl-2-pentanone at 298.15 K

Abstract

In this work, experimental liquid-liquid equilibrium data for the ternary system water + acrylic acid + 4-methyl-2-pentanone were determined at 298.15 K and atmospheric pressure. The experimental data were also compared with the values correlated by the NRTL and UNIQUAC models. Good quantitative agreement was obtained with these models. In general, the average deviations from the NRTL model are slightly greater than those from the UNIQUAC model. The reliability of the experimental tie-line data was confirmed by using the Othmer-Tobias correlation. Distribution coefficients and selectivity were evaluated for the immiscibility region.

Liquid–Liquid Equilibrium in Ternary Systems Present in Biodiesel Purification from Soybean Oil and Castor Oil at (298.2 and 333.2) K

“…The reliability of experimentally measured tie-line data can be ascertained by applying Othmer-Tobias and Hand equations, 14,20,21 given by eqs 3 and 4, respectively: The linearity of the plot indicates the degree of consistency of the data. The parameter of the Othmer Tobias and Hand correlations, the correlation factor (R 2 ) and standard deviation (σ OT ,σ H ) are given in Table 3 and Figures 6 and 7.…”

“…The regression method used in the simulator was the generalized least-squares method based on the maximum likelihood principle. 20,21,24 The new Britt-Luecke algorithm was employed to obtain the model parameters with the Deming initialization method. The objective function used is…”

“…The reliability of experimentally measured tie-line data can be ascertained by applying Othmer-Tobias and Hand equations, ,, given by eqs and , respectively: ln ( 1 − w 3 II w 3 II ) = italica 1 + italicb 1 .25em ln ( 1 − w 1 I w 1 I ) ln true( w 2 w 3 true) II = italica 2 + italicb 2 .25em ln true( w 2 w 1 true) normalI where a 1 , b 1 and a 2 , b 2 are the fitting parameters of the Othmer-Tobias and Hand correlations, respectively.…”

“…In these models, the adjustable parameters were defined as follows: τ i j = A i j + B i j T τ i j = exp ( A i j + false( B i j / T false) ) In the NRTL and UNIQUAC models, the binary interaction parameters ( A ij , A ij , B ij / T , B ij / T ) were calculated using Aspen Plus V7.3 simulator. The regression method used in the simulator was the generalized least-squares method based on the maximum likelihood principle. ,, The new Britt-Luecke algorithm was employed to obtain the model parameters with the Deming initialization method. The objective function used is OF = prefix∑ k = 1 M ∑ j = 1 2 ∑ i = 1 2 true[ ( T k expt − T k calc ) 2 σ T 2 + ( w i j k expt − w i j...…”

Liquid−Liquid Equilibria for the Quaternary System Water (1) + Acrylic Acid (2) + Acetic Acid (3) + Cyclohexane (4) at (293.15, 303.15, and 313.15) K

“…Therefore, the separation of the mixed acid and water by simple distillation is ruled out. The integration of liquid−liquid extraction and heterogeneous azeotropic distillation is considered to be a comparatively effective method because of a low energy cost. − The key to this method is to find a kind of appropriate solvent which is used as the extractant.…”