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Redlich-Kwong equation

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Journal Article

A modified Redlich-Kwong equation of state for H 2 -H 2 O fluid mixtures at high pressures and at temperatures above 400 degrees C

Klaus D. Grevel, Niranjan D. Chatterjee
Published: 01 December 1992
European Journal of Mineralogy (1992) 4 (6): 1303–1310.
View PDF for article title, A modified <span class="search-highlight">Redlich</span>-<span class="search-highlight">Kwong</span> <span class="search-highlight">equation</span> of state for H 2 -H 2 O fluid mixtures at high pressures and at temperatures above 400 degrees C
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Journal Article

Calculation of the thermodynamic and geochemical consequences of nonideal mixing in the system H 2 O-CO 2 -NaCl on phase relations in geologic systems; metamorphic equilibria at high pressures and temperatures

Teresa Suter Bowers, Harold C. Helgeson
Published: 01 December 1983
American Mineralogist (1983) 68 (11-12): 1059–1075.
... Redlich-Kwong equation of state (Bowers and Helgeson, 1983). Diagrams of this kind indicate that increasing NaCl concentration results in higher temperatures and/or lower predicted values of X CO 2 , for equilibrium mineral assemblages than would be true for the binary system H 2 O-CO 2 . Transection...
View PDF for article title, Calculation of the thermodynamic and geochemical consequences of nonideal mixing in the system H 2 O-CO 2 -NaCl on phase relations in geologic systems; metamorphic equilibria at high pressures and temperatures
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Journal Article

Xe and Ar in high-pressure silicate liquids

Art Montana, Qiti Guo, Scott Boettcher, Bradford S. White, Mark Brearley
Published: 01 December 1993
American Mineralogist (1993) 78 (11-12): 1135–1142.
... is 28.0–29.4 cm 3 /mol, which is similar to that of solid Xe, 32–29 cm 3 /mol at 89 °C between 10 and 20 kbat (Lahr and Eversole, 1962). Calculations using the Redlich-Kwong equation and corresponding states theory yield values for the volume of the vapor of 32.5 cm 3 /mol for Ar and 39.4 cm 3 /mol for Xe...
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Journal Article

Natural versus experimental control of oxidation state; effects on the composition and speciation of C-O-H fluids

Robert W. Luth
Published: 01 February 1989
American Mineralogist (1989) 74 (1-2): 50–57.
... or an imposed f O . The requisite fugacity coefficients were calculated with the modified Redlich-Kwong equation of state (MRK EOS) of Holloway (1977, l98l). Comparison of the composition and speciation of the fluid calculated with the two sets of constraints illustrates the differences between the imposed- f O...
View PDF for article title, Natural versus experimental control of oxidation state; effects on the composition and speciation of C-O-H fluids
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Journal Article

Hydration of cordierite and hypersthene and a description of the retrograde orthoamphibole isograd in the Limpopo Belt, South Africa

Dirk D. van Reenen
Published: 01 August 1986
American Mineralogist (1986) 71 (7-8): 900–915.
.... A modified Redlich-Kwong equation of state for nonideal mixing of H 2 O and CO 2 was used to calculate the mole fraction of CO 2 (about 0.8) in the fluid phase necessary to displace the equilibrium curve anthophyllite = 7 enstatite + quartz + water to the estimated P-T conditions on the isograd. The presence...
View PDF for article title, Hydration of cordierite and hypersthene and a description of the retrograde orthoamphibole isograd in the Limpopo Belt, South Africa
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Journal Article

The system albite–H 2 O–CO 2 : a model for melting and activities of water at high pressures

Steven R. Bohlen, A. L. Boettcher, V. J. Wall
Published: 01 June 1982
American Mineralogist (1982) 67 (5-6): 451–462.
... greater than those predicted by the modified Redlich-Kwong equation. Copyright © 1982 by the Mineralogical Society of America 1982 ...
View PDF for article title, The system albite–H 2 O–CO 2 : a model for melting and activities of water at high pressures
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(a) Vapor pressure curve of carbon dioxide (CO2) calculated using Soave-Redlich-Kwong equation (Soave 1972). (b) Density of carbon dioxide (CO2) as a function of pressure at temperatures between 0 °C and 150 °C calculated using Soave-Redlich-Kwong (Soave 1972) equation of state with volume correction (Peneloux et al. 1982). (c) Solubility of CO2 in water at temperature of 25 °C and 50 °C (Burd 1968). (d) Gas hydrate formation curve for carbon dioxide (CO2) calculated using the model of Munck et al. (1988).

(a) Vapor pressure curve of carbon dioxide (CO 2 ) calculated using Soave-R...

Published: 01 July 2007
Figure 10. (a) Vapor pressure curve of carbon dioxide (CO 2 ) calculated using Soave-Redlich-Kwong equation ( Soave 1972 ). (b) Density of carbon dioxide (CO 2 ) as a function of pressure at temperatures between 0 °C and 150 °C calculated using Soave-Redlich-Kwong ( Soave 1972 ) equation
Image
Graphite saturation surface as function of logfO2 and XH2O at 1000°C and pressures of 22, 27 and 32 kbar calculated using a modified Redlich-Kwong equation of state for a C-O-H fluid in equilibrium with graphite (Connolly &amp; Cesare, 1993). The XH20 symbolizes the molar proportion of water relative to total C-O-H components dissolved in the fluid and the melt. The stars indicate the fluid composition in equilibrium with the mineral assemblage in the Finero rocks for the different pressures. The cross indicates a possible fluid composition at the start of the phlogopite precipitation.

Graphite saturation surface as function of logfO 2 and X H2O at 1000°C an...

Published: 01 November 2004
Fig. 8. Graphite saturation surface as function of logfO 2 and X H2O at 1000°C and pressures of 22, 27 and 32 kbar calculated using a modified Redlich-Kwong equation of state for a C-O-H fluid in equilibrium with graphite ( Connolly & Cesare, 1993 ). The X H20 symbolizes the molar
Image
Isobaric T–X(CO2) diagram calculated using measured mineral compositions, thermodynamic data from Holland and Powell (1998), mineral activity models from Engi and Wersin (1987), Fuhrman and Lindsley (1988), and Fitzsimons and Harley (1994), and the modified Redlich–Kwong equation of state of Kerrick and Jacobs (1981). Reactions [R1] and [R2] (1 and 2 in solid circles) are calculated using mineral compositions from garnet rims on calcite (see text; Fig. 5B) and relict plagioclase. Reaction [R2′] (2′ in solid circle) represents the maximum temperature from garnet –quartz symplectites (Fig. 5A).

Isobaric T – X (CO 2 ) diagram calculated using measured mineral compositi...

Published: 01 May 2001
Fig. 6. Isobaric T – X (CO 2 ) diagram calculated using measured mineral compositions, thermodynamic data from Holland and Powell ( 1998 ), mineral activity models from Engi and Wersin ( 1987 ), Fuhrman and Lindsley ( 1988 ), and Fitzsimons and Harley ( 1994 ), and the modified Redlich–Kwong
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Pressure dependence of S vapor-melt partitioning calculated using the empirical model of Scaillet and Pichavant (2005) and the Redlich-Kwong equation of state for fugacity coefficients for pure SO2. Calculations were made for a primitive basaltic melt from Jorullo volcano (Johnson et al. 2010) at log fO2 of NNO to NNO +1.5 at 1140 °C. Increases in fO2 (at a constant pressure) result in higher values of DSvapor-melt. The curve for Irazù is based on data from Benjamin et al. (2007) and is calculated at 1050°C for melt with higher initial S than Jorullo. The higher initial S and lower temperature for Irazù result in higher DSvapor-melt values at a given pressure.

Pressure dependence of S vapor-melt partitioning calculated using the empir...

Published: 01 January 2011
Figure 5. Pressure dependence of S vapor-melt partitioning calculated using the empirical model of Scaillet and Pichavant (2005) and the Redlich-Kwong equation of state for fugacity coefficients for pure SO 2 . Calculations were made for a primitive basaltic melt from Jorullo volcano ( Johnson
Journal Article

Experimental determination of CO 2 -H 2 O activity-composition relations at 600-1000 degrees C and 6-14 kbar by reversed decarbonation and dehydration reactions

L. Y. Aranovich, R. C. Newton
Published: 01 September 1999
American Mineralogist (1999) 84 (9): 1319–1332.
DOI: https://doi.org/10.2138/am-1999-0908
... Redlich-Kwong (MRK) reconstruction of Kerrick and Jacobs (1981) to pressures of 6 kbar, but the binary fluids have marginally greater positive non-ideality than the MRK predictions at 10 kbar and significantly greater non-ideality at 14 kbar. The present results can serve as a basis for reliable...
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Journal Article

Experimental determination of the reaction; magnesite + enstatite = forsterite + CO 2 in the ranges 6-25 kbar and 700-1100 degrees C

Andrea M. Koziol, Robert C. Newton
Published: 01 April 1998
American Mineralogist (1998) 83 (3-4): 213–219.
DOI: https://doi.org/10.2138/am-1998-3-403
... equations of state for CO 2 shows that only those of Mader and Berman (1991) and Frost and Wood (1997) meet the constraints imposed by this study near 1000 degrees C and 10-20 kbar. The modified Redlich-Kwong (MRK)-based equations of state overestimate CO 2 fugacity in this pressure range. GeoRef...
View PDF for article title, Experimental determination of the reaction; magnesite + enstatite = forsterite + CO 2 in the ranges 6-25 kbar and 700-1100 degrees C
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Journal Article

Devolatilization equilibria in H 2 O–CO 2 and H 2 O–CO 2 –NaCl fluids: an experimental and thermodynamic evaluation at elevated pressures and temperatures

G. K. Jacobs, D. M. Kerrick
Published: 01 December 1981
American Mineralogist (1981) 66 (11-12): 1135–1153.
...G. K. Jacobs; D. M. Kerrick Abstract Experimental equilibrium brackets have been obtained in H 2 O–CO 2 and H 2 O–CO 2 –NaCl fluids for several decarbonation equilibria. Using available thermodynamic data and activities for H 2 O and CO 2 calculated from the modified hard-sphere Redlich-Kwong...
View PDF for article title, Devolatilization equilibria in H 2 O–CO 2 and H 2 O–CO 2 –NaCl fluids: an experimental and thermodynamic evaluation at elevated pressures and temperatures
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Journal Article

Free energies of decarbonation reactions at mantle pressures; I, Stability of the assemblage forsterite-enstatite-magnesite in the system MgO-SiO 2 -CO 2 -H 2 O to 60 kbar

D. H. Eggler, I. Kushiro, J. R. Holloway
Published: 01 April 1979
American Mineralogist (1979) 64 (3-4): 288–293.
... from experimental data (1.40±0.15 at X CO 2 = 0.5 and 1.62±0.13 at X CO 2 = 0.3) are sufficiently close to values predicted by modified Redlich-Kwong (MRK) functions (Holloway, 1977) to warrant calculation of the divariant decarbonation surface to 60 kbar. The calculations are possible because...
View PDF for article title, Free energies of decarbonation reactions at mantle pressures; I, Stability of the assemblage forsterite-enstatite-magnesite in the system MgO-SiO 2 -CO 2 -H 2 O to 60 kbar
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Journal Article

Regression analysis and C 7+ description for accurate PVT data calculations with equations of state

Dan Vladimir Nichita, Florea Minescu, I.o.n. Cretu
Published: 01 June 2001
Petroleum Geoscience (2001) 7 (2): 181–189.
DOI: https://doi.org/10.1144/petgeo.7.2.181
... using extended analyses in the Peng–Robinson equation of state . Canadian Journal of Chemical Engineering , 56 , 610 – 615 . Fussel D.D. Yanosik J.L. 1978 . An iterative sequence for phase equilibria calculations incorporating the Redlich–Kwong equation of state . SPE Journal , 30...
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View PDF for article title, Regression analysis and C 7+ description for accurate PVT data calculations with <span class="search-highlight">equations</span> of state
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Journal Article

GEM-SELEKTOR GEOCHEMICAL MODELING PACKAGE: TSolMod LIBRARY AND DATA INTERFACE FOR MULTICOMPONENT PHASE MODELS

Thomas Wagner, Dmitrii A. Kulik, Ferdinand F. Hingerl, Svitlana V. Dmytrieva
Published: 01 October 2012
The Canadian Mineralogist (2012) 50 (5): 1173–1195.
DOI: https://doi.org/10.3749/canmin.50.5.1173
... 3 OVERVIEW OF ACTIVITY AND EQUATION OF STATE MODELS IMPLEMENTED IN TSOLMOD LIBRARY Derived class name Description Fluids and gases TSRKcalc Multicomponent Soave-Redlich-Kwong cubic equation of state, with Van der Waals mixing rule using constant or T-dependent parameter...
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View PDF for article title, GEM-SELEKTOR GEOCHEMICAL MODELING PACKAGE: TSolMod LIBRARY AND DATA INTERFACE FOR MULTICOMPONENT PHASE MODELS
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Journal Article

Bubbles do matter!

Claudia Cannatelli
Published: 01 July 2015
American Mineralogist (2015) 100 (7): 1335–1336.
DOI: https://doi.org/10.2138/am-2015-5288
... the melt and the mole fractions of CO 2 and H 2 O in the vapor phase were calculated by applying the Redlich-Kwong equation. To calculate the original concentration of CO 2 in the melt at the time of trapping, the authors added the estimated mass CO 2 back into each inclusion. In their paper...
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Journal Article

Pressure dependence of the solubility of Ar and Kr in melts of the system SiO 2 -NaAlSi 2 O 6

Heribert Walter, Knut Roselieb, Heinz Büttner, Matthias Rosenhauer
Published: 01 September 2000
American Mineralogist (2000) 85 (9): 1117–1127.
DOI: https://doi.org/10.2138/am-2000-8-902
...; col. 6 = fugacity calculated using the equation of Redlich and Kwong (1949) , critical constants from Borchers et al. (1971) , col. 7 = Solubility determined by GC (Hewlett-Packard). * Mean value of 14 measurements for both grain sizes, error = 1σ † Determined by Thermogravimetry, in μL STP...
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View PDF for article title, Pressure dependence of the solubility of Ar and Kr in melts of the system SiO 2 -NaAlSi 2 O 6
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Journal Article

Equations of State for Complex Fluids

Matthias Gottschalk
Published: 01 July 2007
Reviews in Mineralogy and Geochemistry (2007) 65 (1): 49–97.
DOI: https://doi.org/10.2138/rmg.2007.65.3
...{n_{T}b})}\] \end{document} Because of the success of the Redlich-Kwong equation, Soave (1972) proposed a more generalized form of the attractive term than used in Equation (33), (34) \batchmode \documentclass[fleqn,10pt,legalpaper]{article} \usepackage{amssymb} \usepackage{amsfonts...
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Journal Article

Fluids in Hydrocarbon Basins

Karen S. Pedersen, Peter L. Christensen
Published: 01 July 2007
Reviews in Mineralogy and Geochemistry (2007) 65 (1): 241–258.
DOI: https://doi.org/10.2138/rmg.2007.65.8
...Figure 10. (a) Vapor pressure curve of carbon dioxide (CO 2 ) calculated using Soave-Redlich-Kwong equation ( Soave 1972 ). (b) Density of carbon dioxide (CO 2 ) as a function of pressure at temperatures between 0 °C and 150 °C calculated using Soave-Redlich-Kwong ( Soave 1972 ) equation...
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