The Cricondentherm and Cricondenbar Temperatures of Multicomponent Hydrocarbon Mixtures

1963 ◽  
Vol 3 (04) ◽  
pp. 287-292 ◽  
Author(s):  
R.B. Grieves ◽  
George Thodos
Keyword(s):  
Phase Diagram ◽  
Critical Temperature ◽  
Critical Region ◽  
Boiling Point ◽  
Binary Systems ◽  
Optimum Operating ◽  
Hydrocarbon Mixture ◽  
Multicomponent Mixtures ◽  
Average Deviation ◽  
Hydrocarbon Mixtures

Abstract A method has been developed for the accurate calculation of the cricondentherm and cricondenbar temperatures of multicomponent hydrocarbon mixtures of known composition. The mixtures may contain any number of components including paraffins and isoparaffins, olefins, acetylenes, naphthenes and aromatics. This approach is based upon the mole fraction of the low-boiling component in the mixture and graphically presents the ratios of the cricondentherm and cricondenbar temperatures to the pseudocritical temperature as functions of a boiling-point parameter. The only requirements are the critical temperature, normal boiling point and the approximate vapor pressure behavior of each component. For mixtures of more than two constituents a stepwise calculation procedure is necessary where the pseudocritical temperature is based upon the critical temperature of the pure low-boiling component and upon the actual cricondentherm or cricondenbar temperature of the mixture of all the remaining higher-boiling components. From an analysis of 22 binary systems (123 compositions), the average deviation of calculated cricondentherm temperatures from reported values is 0.87 per cent, based on degrees Rankine; and for 10 multicomponent mixtures containing from three to six components, the average deviation is 0.98 per cent. From an analysis of 18 binary systems (104 compositions) the average deviation of calculated cricondenbar temperatures from reported values is 0.79 per cent; and for 15 multicomponent mixtures, 1.47 per cent. Equations, derived from the graphical relationships, are presented which enable rapid calculations for both binary and multicomponent systems. Introduction With the increasing tendency towards the use of high pressure processes, the need for an accurate method of calculation of the properties of a multicomponent hydrocarbon mixture in the critical region is becoming more essential. Critical region phase relations are also significant in gas condensate reservoirs, for which a knowledge of the fluid phase boundaries and regions of retrograde condensation make it possible to evaluate optimum operating conditions. The possibility of liquefaction in the underground structure may be established, and information on the feasibility of the use of repressurizing may be determined. A typical phase diagram for a multicomponent hydrocarbon mixture is presented as Fig. 1. This figure also shows the regions of retrograde behavior encountered by following lines AB and AC. If accurate methods of calculating the temperatures and pressures at the critical cricondentherm (maximum temperature) and cricondenbar (maximum pressure) points of multicomponent hydrocarbon mixtures of known composition were available, it would be possible to estimate closely the entire phase diagram of any mixture. Several methods have been presented in the literature for the estimation of the critical temperatures and pressures of multicomponent mixtures containing all types of hydrocarbons and including the fixed gases. Considering the cricondentherm and cricondenbar points, the work is more limited. SPEJ P. 287^

The Cricondentherm and Cricondenbar Pressures of Multicomponent Hydrocarbon Mixtures

1964 ◽  
Vol 4 (03) ◽  
pp. 240-246 ◽  
Author(s):  
Robert B. Grieves ◽  
George Thodos
Keyword(s):  
Boiling Point ◽  
Binary Data ◽  
Binary Systems ◽  
Calculation Procedure ◽  
Hydrocarbon Mixture ◽  
Multicomponent Mixtures ◽  
Critical Temperatures ◽  
Average Deviation ◽  
Hydrocarbon Mixtures ◽  
Industrial Processing

Abstract A method is presented for the accurate calculation of the cricondentherm and cricondenbar pressures of multicomponent hydrocarbon mixtures of known composition. The mixtures may contain six and quite possibly any number of components including paraffins, isoparaffins, olefins, acetylenes, naphthenes and aromatics. The approach is similar to that used for calculating critical pressures and cricondentherm and cricondenbar temperatures. The critical pressure, the normal boiling point and the approximate vapor pressure behavior of each component are all that are required. A stepwise calculation procedure is necessary for mixtures containing more than two components. From an analysis of 22 binary systems and 118 mixtures, the average deviation of calculated cricondentherm pressures from reported values is 2.4 per cent. For nine multicomponent mixtures the average deviation is 1 per cent. Considering 19 binary systems and 108 mixtures, the average deviation of calculated cricondenbar pressures from reported values is 1.7 per cent. For 15 multicomponent mixtures, the average deviation is 2.2 per cent. Introduction A knowledge of the phase behavior in the critical region of multicomponent hydrocarbon mixtures is of value both in industrial processing operations and for the optimum operations of gas condensate reservoirs. Accurate methods of calculating the critical temperatures and critical pressures and cricondentherm and cricondenbar temperatures of multicomponent hydrocarbon mixtures are available in the literature. If the cricondentherm and cricondenbar pressures could be calculated with equal accuracy, the entire phase diagram of a multicomponent hydrocarbon mixture could be well approximated. The work of Etter and Kay is limited to systems containing the normal paraffins and has not been tested on systems containing a heavier component than heptane. In addition, the development of their multicomponent equations is based upon a limited number of mixtures containing from three to six components. Silverman and Thodos have considered systems containing both paraffinic and non-paraffinic hydrocarbons, but their correlation is limited to binary systems and is highly inaccurate for methane systems. Eilerts has done extensive work on the cricondenbar pressure; he has produced an excellent correlation for binary systems. However, his procedure for multicomponent mixtures is chiefly useful for highly complex mixtures requiring a knowledge of the vapor-liquid equilibrium behavior of the mixtures; he has not considered the cricondentherm pressure. The objective of this study was the development of an accurate and rapid method for the calculation of the cricondentherm and cricondenbar pressures of multicomponent mixtures containing all types of hydrocarbons and having a wide volatility range. The approach that was adopted is similar to that used by Grieves and Thodos for cricondentherm and cricondenbar temperatures and for critical pressures. However, methane systems had to be considered separately and a modified stepwise calculation procedure was utilized for the cricondentherm pressure. The correlations were developed in a manner similar to those for critical pressures and cricondentherm and cricondenbar temperatures. Based upon binary data reported in the literature it was observed that the ratios of cricondentherm and cricondenbar pressure to the pseudocritical pressure (molar average), pt/ppc and pp/ppc respectively, in two-component systems depended upon the mole fraction of this low-boiling component and upon the diversity in properties of the two components. A dimensionless boiling-point parameter T'b/Tb was chosen to represent the diversity in properties of the components. For a binary system, T't, is the molar average of the normal boiling points of the two components involved. SPEJ P. 240ˆ

Calculation of phase diagrams and thermodynamic properties of 14 additive and reciprocal ternary systems containing Li2CO3, Na2CO3, K2CO3, Li2SO4, Na2SO4, K2SO4, LiOH, NaOH, and KOH

1984 ◽  
Vol 62 (3) ◽  
pp. 457-474 ◽  
Author(s):  
A. D. Pelton ◽  
C. W. Bale ◽  
P. L. Lin
Keyword(s):  
Phase Diagram ◽  
Thermodynamic Properties ◽  
Molten Salt ◽  
Phase Diagrams ◽  
Binary Systems ◽  
Ternary Phase ◽  
Ternary Phase Diagram ◽  
Ternary Systems ◽  
Maximum Error ◽  
Critical Assessment

Phase diagrams and thermodynamic properties of five additive molten salt ternary systems and nine reciprocal molten salt ternary systems containing the ions Li+, Na+, [Formula: see text], OH− are calculated from the thermodynamic properties of their binary subsystems which were obtained previously by a critical assessment of the thermodynamic data and the phase diagrams in these binary systems. Thermodynamic properties of ternary liquid phases are estimated from the binary properties by means of the Conformal Ionic Solution Theory. The ternary phase diagrams are then calculated from these thermodynamic properties by means of computer programs designed for the purpose. It is found that a ternary phase diagram can generally be calculated in this way with a maximum error about twice that of the maximum error in the binary phase diagrams upon which the calculations are based. If, in addition, some reliable ternary phase diagram measurements are available, these can be used to obtain small ternary correction terms. In this way, ternary phase diagram measurements can be smoothed and the isotherms drawn in a thermodynamically correct way. The thermodynamic approach permits experimental data to be critically assessed in the light of thermodynamic principles and accepted solution models. A critical assessment of error limits on all the calculated ternary diagrams is made, and suggestions as to which composition regions merit further experimental study are given.

Two-phase filtration of multicomponent mixtures with a retrograde region of the phase diagram

2017 ◽  
Vol 62 (2) ◽  
pp. 60-62 ◽  
Author(s):  
V. M. Batenin ◽  
V. M. Zaichenko ◽  
D. A. Molchanov ◽  
V. M. Torchinskiy
Keyword(s):  
Phase Diagram ◽  
Multicomponent Mixtures ◽  
Two Phase

scholarly journals Using the Linear Sigma Model with quarks to describe the QCD phase diagram and to locate the critical end point

2018 ◽  
Vol 172 ◽  
pp. 08002
Author(s):  
Alejandro Ayala ◽  
Jorge David Castaño-Yepes ◽  
José Antonio Flores ◽  
Saúl Hernández ◽  
Luis Hernández
Keyword(s):  
Phase Diagram ◽  
Critical Temperature ◽  
Sigma Model ◽  
Chemical Potential ◽  
Linear Sigma Model ◽  
Transition Line ◽  
Baryon Chemical Potential ◽  
First Order ◽  
Qcd Phase Diagram ◽  
Crossover Transition

We study the QCD phase diagram using the linear sigma model coupled to quarks. We compute the effective potential at finite temperature and quark chemical potential up to ring diagrams contribution. We show that, provided the values for the pseudo-critical temperature Tc = 155 MeV and critical baryon chemical potential μBc ≃ 1 GeV, together with the vacuum sigma and pion masses. The model couplings can be fixed and that these in turn help to locate the region where the crossover transition line becomes first order.

Critical Temperature and Boiling Point of Normal Paraffins

1954 ◽  
Vol 22 (1) ◽  
pp. 156-156 ◽  
Author(s):  
Shashanka Shekhar Mitra
Keyword(s):  
Critical Temperature ◽  
Boiling Point

Thermodynamic phase diagram analysis of three binary systems shared by five neopentane derivatives

Calphad ◽  
1994 ◽  
Vol 18 (4) ◽  
pp. 387-396 ◽  
Author(s):  
D.O. López ◽  
J. Van Braak ◽  
J.L.L. Tamarit ◽  
H.A.J. Oonk
Keyword(s):  
Phase Diagram ◽  
Binary Systems ◽  
Thermodynamic Phase Diagram ◽  
Thermodynamic Phase ◽  
Diagram Analysis

scholarly journals T-x-диаграмма системы Ga – Se в диапазоне составов 48.0 – 61.5 мол. % Se по данным термического анализа

2019 ◽  
Vol 21 (4) ◽  
pp. 519-527
Author(s):  
Andrew V. Kosyakov ◽  
Ivan N. Nekrylov ◽  
Nikolai Yu. Brezhnev ◽  
Ekaterina N. Malygina ◽  
Alexander Yu. Zavrazhnov
Keyword(s):  
Phase Diagram ◽  
Phase Equilibria ◽  
Binary Systems ◽  
Nauk Sssr ◽  
Doklady Akademii Nauk Sssr ◽  
Composition Control ◽  
Volatile Solids ◽  
M Phase ◽  
Manometric Method ◽  
And Diffusion

Целью настоящей работы было термографическое исследование T-x диаграммы системы Ga – Se в диапазоне температур от 500 до 1100 °С и в диапазоне составов от 48.0 до 61.5 mol % Se. Методом исследования являлся дифференциальный термический анализ c компьютерной регистрацией данных. Получены свидетельства о наличии ретроградного солидуса фазы g-GaSe со стороны селена (с областью гомогенности в несколько десятых mol % при температурах выше эвтектической) и о независимом существовании близких по составу фаз e-GaSe и g-GaSe. При этом более богатая галлием фаза e-GaSe испытывает перитектический распад с образованием расплава (L2) и g-GaSe. Для темпера-туры предполагаемой перитектической реакции получено значение 921 ±2 °С. Вместе стем, на данном этапе работ не получено никаких данных в пользу существования ожидавшейся (по аналогии с системой Ga – S) высокотемпературной модификации, близкой по составу к сесквиселениду галлия (Ga2S3). Другие результаты, полученные в настоящей работе (характер и температуры плавления промежуточных фаз, температуры эвтектического и монотектического превращений, а также координата эвтектического состава), хорошо согласуются с литературными данными по исследованной системе         ЛИТЕРАТУРА1. Kainzbauer P., Richter K. W., Ipser H. The binary Bi-Rh phase diagram: stable and metastable phases //J. Phase Equilibria and Diffusion, 2018, v. 39(1), pp. 17– 34. DOI: https://doi.org/10.1007/s11669-017-0600-52. Dolyniuk J.-A., Kaseman D. C., Sen S., Zhao J., Osterloh F. E., Kovnir K. mP-BaP3: A new phase froman old binary system // Chem. Eur. J., 2014, v. 20, pp. 10829–10837, DOI: https://doi.org/10.1002/chem.2013050783. Березин С. С., Завражнов А. Ю., Наумов А. В., Некрылов И. Н., Брежнев Н. Ю. Фазовая диаграммасистемы Ga–S в области 48.0–60.7 мол. % S // Конденсированные среды и межфазные границы, 2017,т. 19(3), с. 321–335. DOI: https://doi.org/10.17308/kcmf.2017.19/2084. Волков В. В., Сидей В. И., Наумов А. В., Некрылов И. Н., Брежнев Н. Ю., Малыгина Е. Н., Завражнов А. Ю. Высокотемпературная кубическая модификация сульфида галлия (Xs = 59 мол. %) и Т, х-диаграмма системы Ga – S // Конденсированные среды и межфазные границы, 2019, т. 21(1), с. 37–50.DOI: https://doi.org/10.17308/kcmf.2019.21/7155. Zavrazhnov A., Berezin S., Kosyakov A., Naumov A., Berezina M., Brezhnev N. J. The phase diagramof the Ga–S system in the concentration range of 48.0–60.7 mol % S // Thermal Analysis and Calorimetry,2018, v. 134(1), pp. 483–492. DOI: https://doi.org/10.1007/s10973-018-7124-z6. Okamoto H. Ga–Se (Gallium-Selenium) // J. Phase Equilibria and Diffusion, 2009, v. 30, p. 658. DOI:https://doi.org/10.1007/s11669-009-9601-37. Dieleman J., Sanders F. H. M. Phase diagram of the Ga-Se system // Phillips J. Res., 1982, v. 37(4),pp. 204 – 229.8. Zavrazhnov A. Yu. Turchen D. N., Goncharov Eu. G., Zlomanov V. P. Manometric method for thestudy of P-T-x diagrams // J. Phase Equilibria and Diffusion, 2001, v. 22(4), pp. 482–490. DOI: https://doi.org/10.1361/1054971017703330639. Shtanov V. I, Komov A. A, Tamm M. E., Atrashenko D. V., Zlomanov V. P. Gallium-selenium systemphase diagram and photoluminescence spectra of GaSe crystals // Doklady Akademii nauk SSSR, 1998, v. 361(3),pp. 357–361. (in Russ.)10. Glazov V. M., Pavlova L. M. Semiconductor and metal binary systems. Phase equilibria and chemicalthermodynamics. Springer, 1989, 327 p. DOI: https://doi.org/10.1007/978-1-4684-1680-011. Ider M. Pankajavalli R., Zhuang W. Thermochemistry of the Ga–Se System. J. Solid State Scienceand Techn., 2015, v. 4(5), Q51–Q60 DOI: https://doi.org/10.1149/2.0011507jss12. Zavrazhnov A., Naumov A., Sidey V., Pervov V. Composition control of low-volatile solids throughchemical vapor transport reactions. III. The example of gallium monoselenide: Control of the polytypicstructure, non-stoichiometry and properties // Thermochimica Acta, 2012, v. 527, pp. 118–124. DOI:https://doi.org/10.1016/j.tca.2011.10.012

Assessing Estrogenic Activities of Selected Endocrine Disrupting Chemicals and their Combination Effects

2013 ◽  
Vol 765-767 ◽  
pp. 2944-2948 ◽  
Author(s):  
Xiao Ling Shao ◽  
Wen Qi Zhong ◽  
Xiao Yan Ma ◽  
Ang Gao ◽  
Xiang Yang Wu ◽  
...  
Keyword(s):  
Binary Systems ◽  
Endocrine Disrupting Chemicals ◽  
Concentration Addition ◽  
Multicomponent Mixtures ◽  
Yeast Two Hybrid ◽  
Yeast Two Hybrid System ◽  
Endocrine Disrupting ◽  
17Β Estradiol ◽  
Ethylhexyl Phthalate ◽  
Two Hybrid

Yeast two-hybrid system was used to investigate the estrogenic activities of 13 kinds of representative endocrine disrupting chemicals (EDCs) and their combinary effects. Results show that the order of estrogenic potencies for these chemicals is: 17α-ethynylestradiol>diethylstilbestrol >17β-estradiol>estrone>estriol>branchedp-nonylphenol>4-t-octylphenol>bisphenol A>diethyl phthalate>4-n-nonylphenol>di-(2-ethylhexyl) phthalate>dibutyl phthalate>dimethyl phthalate. The mixture effects of multiple EDCs were compared to those obtained from individual chemicals, using the model of concentration addition. Results reveal that the estrogenicities of multicomponent mixtures of more than three (including three) of EDCs follow antagonistic effects, while there is no definite conclusion for binary systems. The less than additive effects were also confirmed in the spiked experiments conducted in the extracts of real water samples.

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