Phase Equilibria in Hydrocarbon Systems. n-Butane–Water System in Three-Phase Region

1944 ◽  
Vol 36 (4) ◽  
pp. 381-383 ◽  
Author(s):  
H. H. Reamer ◽  
R. H. Olds ◽  
B. H. Sage ◽  
W. N. Lacey
Keyword(s):  
Phase Equilibria ◽  
Water System ◽  
Phase Region ◽  
Three Phase

Phase Equilibria in Hydrocarbon Systems. n-Butane-Water System in the Two-Phase Region.

1952 ◽  
Vol 44 (3) ◽  
pp. 609-615 ◽  
Author(s):  
H. H. Reamer ◽  
B. H. Sage ◽  
W. N. Lacey
Keyword(s):  
Phase Equilibria ◽  
Water System ◽  
Phase Region ◽  
Two Phase

Phase Equilibria among γ-Fe, γ-Fe and Fe2Mo Phases and Stability of the Laves Phase in Fe-Mo-Ni Ternary System at Elevated Temperatures

2006 ◽  
Vol 980 ◽  
Author(s):  
Shigehiro Ishikawa ◽  
Takashi Matsuo ◽  
Masao Takeyama
Keyword(s):  
Ternary System ◽  
Phase Equilibria ◽  
Elevated Temperatures ◽  
Phase Region ◽  
Homogeneity Region ◽  
Nickel Concentration ◽  
Peritectoid Reaction ◽  
Two Phase ◽  
Three Phase ◽  
Binary Edge

AbstractPhase equilibria among the bcc Fe(α), fcc Fe(γ) and Fe2Mo(λ)_phases in Fe-Mo-Ni ternary system, particularly paying attention to the existence of the γ+λ two-phase region, have been examined at elevated temperatures below Tc (1200 K), the peritectoid reaction temperature in Fe-Mo binary system: λ?α+Fe7Mo6 (μ). At 1173 K the α+γ+μ three-phase coexisting region exists near the Fe-Mo binary edge and no λ phase region was identified. At 1073 K the λ phase in equilibrium with α and γ phases exists, although the composition homogeneity region of the ternary λ phase was limited to its binary edge toward the equi-nickel concentration direction up to about 3at % Ni. Instead, large two-phase region of γ+μ was extended along the same direction up to 20 at% Ni. The γ+λ two-phase region appears below Tc through a transition peritectoid reaction: α+μ¨γ+λ. The γ phase in equilibrium with λ phase is stable only at elevated temperatures, and it transforms martensitically to α phase during cooling. The addition of Ni stabilizes γ and μ phases against α and λ phases, thereby decreasing the relative stability of the λ phase.

Phase equilibria I

2005 ◽  
Author(s):  
Boris S. Bokstein ◽  
Mikhail I. Mendelev ◽  
David J. Srolovitz
Keyword(s):  
Phase Equilibrium ◽  
Phase Equilibria ◽  
Single Phase ◽  
Interesting Case ◽  
Phase Region ◽  
Multicomponent Systems ◽  
Single Phase Region ◽  
Three Phase ◽  
Component Systems ◽  
Temperature And Pressure

This chapter addresses the general features of phase equilibria and applies them to single component systems. Before extending our study of phase equilibria to the interesting case of multiphase, multicomponent systems, we examine the special case of single phase, two-component systems (Chapter 3). Phase equilibria in multiphase, multicomponent systems is deferred until Chapter 4. A single substance may exist in different states. For example, H2O can exist as water vapor, liquid water, or any one of several solid phases (ices). Different states can co-exist indefinitely under certain sets of conditions. Under such conditions, the co-existence of these states suggests that they are in equilibrium with respect to one another, that is, phase equilibrium has been established. It is convenient to graphically represent phase equilibria in the form of phase diagrams. An example of such a diagram for a one-component system (with no solid state allotropes) is shown in Fig. 2.1. The AO, OB, and OC lines represent conditions for which two phases are in equilibrium. Since each set of two-phase equilibrium is represented by a one-dimensional surface (i.e. a line), we see that we can vary one parameter (either T or p) without entering a one-phase region of the diagram. For example, if we set the temperature to T1 we can find a saturated vapour pressure p1 such that the liquid and gas co-exist. Three phases simultaneously co-exist at point O, which is called the triple point. Since the three-phase co-existence surface is zero dimensional (i.e. a point), three-phase equilibrium only exists at a specific temperature and pressure, that is, no conditions can be varied. On the other hand, every single-phase region of the diagram is a two-dimensional area and, hence, we can simultaneously, vary two parameters (i.e. both the temperature and pressure) and still remain in the same single-phase region of the diagram. Equations describing the lines of phase equilibria will be derived in Section 2.2, below. Unlike the lines describing the solid–liquid or solid–vapor co-existence, the liquid–vapor co-existence line terminates in a single-phase region of the diagram.

High pressure three-phase equilibria for the carbon dioxide-ethanol-water system

1994 ◽  
Vol 102 (2) ◽  
pp. 287-292 ◽  
Author(s):  
Ji-Ho Yoon ◽  
Huen Lee ◽  
Bong Hyun Chung
Keyword(s):  
Carbon Dioxide ◽  
High Pressure ◽  
Phase Equilibria ◽  
Water System ◽  
Three Phase

scholarly journals Thermodynamics and Machine Learning Based Approaches for Vapor–Liquid–Liquid Phase Equilibria in n-Octane/Water, as a Naphtha–Water Surrogate in Water Blends

Processes ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 413
Author(s):  
Sandra Lopez-Zamora ◽  
Jeonghoon Kong ◽  
Salvador Escobedo ◽  
Hugo de Lasa
Keyword(s):  
Machine Learning ◽  
Liquid Phase ◽  
Phase Equilibria ◽  
Aspen Plus ◽  
Phase Region ◽  
Two Phase ◽  
Technical Literature ◽  
Phase Liquid ◽  
Liquid Vapor ◽  
Vapor Liquid

The prediction of phase equilibria for hydrocarbon/water blends in separators, is a subject of considerable importance for chemical processes. Despite its relevance, there are still pending questions. Among them, is the prediction of the correct number of phases. While a stability analysis using the Gibbs Free Energy of mixing and the NRTL model, provide a good understanding with calculation issues, when using HYSYS V9 and Aspen Plus V9 software, this shows that significant phase equilibrium uncertainties still exist. To clarify these matters, n-octane and water blends, are good surrogates of naphtha/water mixtures. Runs were developed in a CREC vapor–liquid (VL_ Cell operated with octane–water mixtures under dynamic conditions and used to establish the two-phase (liquid–vapor) and three phase (liquid–liquid–vapor) domains. Results obtained demonstrate that the two phase region (full solubility in the liquid phase) of n-octane in water at 100 °C is in the 10-4 mol fraction range, and it is larger than the 10-5 mol fraction predicted by Aspen Plus and the 10-7 mol fraction reported in the technical literature. Furthermore, and to provide an effective and accurate method for predicting the number of phases, a machine learning (ML) technique was implemented and successfully demonstrated, in the present study.

Phase Equilibrium of Mg-Nd-Zn System near Mg-Nd Side at 400°C

2016 ◽  
Vol 873 ◽  
pp. 18-22
Author(s):  
Ming Li Huang ◽  
Xue Shen ◽  
Hong Xiao Li
Keyword(s):  
Solid Solution ◽  
Phase Equilibrium ◽  
Ternary Isothermal Section ◽  
Phase Region ◽  
X Ray Diffraction ◽  
Maximum Solubility ◽  
Two Phase ◽  
Solubility Range ◽  
Three Phase ◽  
Equilibrium Alloys

The equilibrium alloys closed to Mg-Nd side in the Mg-rich corner of the Mg-Zn-Nd system at 400°C have been investigated by scanning electron microscopy, electron probe microanalysis and X-ray diffraction. The binary solid solutions Mg12Nd and Mg3Nd with the solubility of Zn have been identified. The maximum solubility of Zn in Mg12Nd is 4.8at%, and Mg12Nd phase can be in equilibrium with Mg solid solution. However, only when the solubility range of Zn in 26at%~32.2at%, Mg3Nd can be in two-phase equilibrium with Mg solid solution. As the results, two two-phase regions as Mg+Mg12Nd and Mg+Mg3Nd and a three-phase region as Mg+Mg12Nd+Mg3Nd in Mg-Nd-Zn ternary isothermal section at 400°C have been identified.

Hydrate Phase Equilibria of the Carbon Dioxide, Methane, and Water System

2001 ◽  
Vol 46 (2) ◽  
pp. 381-384 ◽  
Author(s):  
Yu-Taek Seo ◽  
Huen Lee ◽  
Ji-Ho Yoon
Keyword(s):  
Carbon Dioxide ◽  
Phase Equilibria ◽  
Water System ◽  
Hydrate Phase
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