scholarly journals Convex hull method for the determination of vapour-liquid equilibria (VLE) phase diagrams for binary and ternary systems

2017 ◽  
Vol 431 ◽  
pp. 34-47 ◽  
Author(s):  
Amieibibama Joseph ◽  
Christine M. Sands ◽  
Peter D. Hicks ◽  
Howard W. Chandler
Keyword(s):  
Convex Hull ◽  
Phase Diagrams ◽  
Ternary Systems ◽  
Binary And Ternary Systems ◽  
Convex Hull Method

scholarly journals Thermodynamic calculations in alloys Ti-Al, Ti-Fe, Al-Fe and Ti-Al-Fe

2008 ◽  
Vol 44 (1) ◽  
pp. 49-61 ◽  
Author(s):  
Ana Kostov ◽  
B. Friedrich ◽  
D. Zivkovic
Keyword(s):  
Phase Diagrams ◽  
Ternary Alloy ◽  
Ternary Systems ◽  
Thermodynamic Calculations ◽  
Calculated Phase ◽  
Gibbs Energies ◽  
Different Temperatures ◽  
Binary And Ternary Systems ◽  
Thermodynamic Determination

Thermodynamic calculations of three binary Ti-based alloys: Ti-Al, Ti-Fe, and Al-Fe, as well as ternary alloy Ti-Al-Fe, is shown in this paper. Thermodynamic calculations involved thermodynamic determination of activities, coefficient of activities, partial and integral values for enthalpies and Gibbs energies of mixing and excess energies at different temperatures: 1873K, 2000K and 2073K, as well as calculated phase diagrams for the investigated binary and ternary systems. The FactSage is used for all thermodynamic calculations.

Infrared Quantitative Analysis of Mixtures Containing Isopropenyl Stearate, Stearic Acid, Stearic Anhydride, and Mixed Stearic—Acetic Anhydride

1972 ◽  
Vol 26 (1) ◽  
pp. 96-99 ◽  
Author(s):  
Mary Jo Calhoun ◽  
Edward S. DellaMonica
Keyword(s):  
Acetic Anhydride ◽  
Stearic Acid ◽  
Relative Concentration ◽  
Ternary Systems ◽  
Spectral Interference ◽  
Complex Mixtures ◽  
Ratio Method ◽  
Baseline Method ◽  
Binary And Ternary Systems

A method for the determination of individual components of complex mixtures is presented. The technique used is based on ir-absorbance measurements for stearic acid at 1700 and at 935 cm−1 when the concentration range exceeds 0.50% wt/vol; for isopropenyl stearate at 1145 and at 865 cm−1; for stearic anhydride at 1030 cm−1 and mixed stearic-acetic anhydride at 1000 cm−1. The baseline method was used in all absorbance measurements. Absorbance-concentration relationships obeyed Beer's law from 0 to 2.0% wt/vol for most compounds; the exception being stearic acid (at 1700 cm−1), where linearity was limited to a maximum 0.50% wt/vol. Due to spectral interference between the two anhydrides at low concentration ratios, an empirical percent transmission ratio method was used to estimate the relative concentration of each. Binary and ternary systems were studied and the standard deviations of the differences between theoretical and calculated values indicate that this method is reliable.

scholarly journals The multivariate calculation of material balances of flowsheets for separating ternary mixtures of different physical-chemical nature

2016 ◽  
Vol 11 (3) ◽  
pp. 47-57 ◽  
Author(s):  
A. V. Frolkova ◽  
M. A. Ablizin ◽  
M. A. Mayevskiy ◽  
A. K. Frolkova
Keyword(s):  
Phase Diagrams ◽  
Chemical Nature ◽  
Material Balance ◽  
Ternary Systems ◽  
Butyl Alcohol ◽  
Ternary Mixtures ◽  
Two Phase ◽  
Physical Chemical ◽  
Alcohol Water

An approach to the determination of free variables required for calculating the material balance of the flowsheet of ternary mixtures separation is presented. Phase diagrams of the considered ternary systems are characterized by the presence of a two-phase splitting area and by the presence of different amounts of azeotropes (classes 3.1.0, 3.1.1, 3.2.1 and 3.3.1). For all the systems flowsheets containing three rectification columns and a florentine vessel for separation were suggested. The multivariance of the solution of the balance problem was shown. The approach was illustrated by the example of real ternary systems characterized by different phase diagrams (methanol - chloroform - water, butyl alcohol - water - toluene, nitromethane - hexane - water). The parameters of the rectification columns were presented.

Experimental determination of the phase diagrams of the Co-Ni-X (X = W, Mo, Nb, Ta) ternary systems using diffusion multiples

2018 ◽  
Vol 93 ◽  
pp. 20-29 ◽  
Author(s):  
Lilong Zhu ◽  
Changdong Wei ◽  
Liang Jiang ◽  
Zhanpeng Jin ◽  
Ji-Cheng Zhao
Keyword(s):  
Experimental Determination ◽  
Phase Diagrams ◽  
Ternary Systems ◽  
Diffusion Multiples

scholarly journals Some Observations on Phase Diagrams and Structure in Binary and Ternary Systems of Didodecyldimethylammonium Bromide.

1986 ◽  
Vol 40a ◽  
pp. 247-256 ◽  
Author(s):  
Krister Fontell ◽  
Andrea Ceglie ◽  
Björn Lindman ◽  
Barry Ninham ◽  
C. J. Nielsen ◽  
...  
Keyword(s):  
Phase Diagrams ◽  
Ternary Systems ◽  
Didodecyldimethylammonium Bromide ◽  
Binary And Ternary Systems

Spectrophotometric study of reaction of sodium 6-hydroxy-5-dibenzo(a,j)phenoxazone-11,13-disulfonate with aluminium ions in the presence of cationoid tensides

1980 ◽  
Vol 45 (4) ◽  
pp. 1227-1235
Author(s):  
Nguyen Truong Son ◽  
Jan Lasovský ◽  
Eduard Ružička
Keyword(s):  
Acidic Medium ◽  
Equilibrium Constants ◽  
Ternary Systems ◽  
Photometric Determination ◽  
Spectrophotometric Study ◽  
Ternary Complexes ◽  
Medium Ph ◽  
Binary And Ternary Systems

In weakly acidic medium, pH 3.5-6.5, the title dye forms with aluminium ions a complex with the Al : L ratio 1 : 1. In the presence of cetylpyridinium or carbethoxypentadecyltrimethylammonium, ternary complexes AlL3Sr (r = 6 or 9, respectively) are formed. The equilibrium constants of the complexing equilibria in the binary and ternary systems concerned were calculated, and a method of photometric determination of aluminium has been suggested.

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