Thermodynamic properties of aqueous MgSO4 to 800MPa at temperatures from -20 to 100°C and concentrations to 2.5molkg-1 from sound speeds, with applications to icy world oceans

Geochimica et Cosmochimica Acta

Volumn 110, Issue , 2013, Pages 176-189

  Vance, Steve ^a,b   Brown, J Michael ^a,b  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AQUEOUS SOLUTION; CONCENTRATION (COMPOSITION); EQUILIBRIUM; MAGNESIUM; PRESSURE EFFECT; SOLVENT; SULFATE; TEMPERATURE EFFECT; THERMODYNAMIC PROPERTY;

EID: 84875636264     PISSN: 00167037     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.gca.2013.01.040     Document Type: Article

References (63)

1. 4 solutions at high temperatures and high pressures. Phys. Chem. Liq. 2007, 45(2):127-148.
2. Abramson E.H., Brown J.M. Equation of state of water based on speeds of sound measured in the diamond-anvil cell. Geochim. Cosmochim. Acta 2004, 68(8):1827-1835.
3. Abramson E.H., Brown J.M., Slutsky L.J. Applications of impulsive stimulated scattering in the earth and planetary sciences. Annu. Rev. Phys. Chem. 1999, 50:279-313.
4. Abramson E.H., Brown J.M., Slutsky L.J., Wiryana S. Measuring speed of sound and thermal diffusivity in the diamond-anvil cell. Int. J. Thermophys. 2001, 22:405-414.
5. Anderson J.D., Lau E.L., Sjogren W.L., Schubert G., Moore W.B. Gravitational constraints on the internal structure of Ganymede. Nature 1996, 384(6609):541-543.
6. Aster R. C., Borchers B. and Thurber C. H. (2012) Parameter Estimation and Inverse Problems. Academic Press.
7. Béghin C., Canu P., Karkoschka E., Sotin C., Bertucci C., Kurth W.S., Berthelier J.J., Grard R., Hamelin M., Schwingenschuh K., Simões F. New insights on Titan's plasma-driven Schumann resonance inferred from Huygens and Cassini data. Planet. Space Sci. 2009, 57(14-15):1872-1888.
8. Béghin C., Sotin C., Hamelin M. Titan's native ocean revealed beneath some 45km of ice by a Schumann-like resonance. C.R. Geosci. 2010, 342(6):425-433.
9. -1 and at 298.15K. Fluid Phase Equilib. 2000, 171(1-2):197-206.
10. Barr A. C., Pappalardo R. T. and Stevenson, D. J. (2001) Rise of deep melt into Ganymede's ocean and implications for astrobiology. In Lunar and Planetary Institute Science Conference Abstracts. pp. 1781.
11. Bethke C. Geochemical and biogeochemical reaction modeling 2008, Cambridge Univ Press.
12. Bradley D.J., Pitzer K.S. Thermodynamics of electrolytes. 12. Dielectric properties of water and Debye-Hueckel parameters to 350. degree. C and 1kbar. J. Phys. Chem. 1979, 83:1599-1603.
13. 4 from 0 to 1000bars at 0, 25, and 50°C. J. Chem. Eng. Data 1977, 22(2):201.
14. Choukroun M., Grasset O. Thermodynamic data and modeling of the water and ammonia-water phase diagrams up to 2.2GPa for planetary geophysics. J. Chem. Phys. 2010, 133:144502.
15. de Boor C. A Practical Guide to Splines 2001, Springer, Berlin.
16. Denisov D.A. Calculation of the speed of sound in reciprocal systems from the known ion concentrations. Acoust. Phys. 2007, 53(5):589-593.
17. Denisov D.A., Abramov A.V., Abramova E.P. A method for calculating the speed of sound in seawater. Acoust. Phys. 2003, 49(4):413-419.
18. Denisov D.A., Abramova E.P., Abramov A.V. Calculation of the speed of sound in seawater from the known ion concentrations. Acoust. Phys. 2004, 50:609-613.
19. Dougherty M., Grasset O., Erd C., Titov D., Bunce E., Coustenis A., Blanc M., Coates A., Drossart P., Fletcher L. and others (2012) JUpiter ICy moons Explorer (JUICE): An ESA L-Class mission candidate to the Jupiter system. In EGU General Assembly Conference Abstracts. pp. 2260.
20. Fernandez D.P., Goodwin A.R.H., Lemmon E.W., Sengers J.M.H.L., Williams R.C. A formulation for the static permittivity of water and steam at temperatures from 238 to 873K at pressures up to 1200MPa, including derivatives and Debye-Hückel coefficients. J. Phys. Chem. Ref. Data 1997, 26:1125.
21. 4 solutions along an isochore to 500°C and 11kbar using Raman spectroscopy in conjunction with the diamond-anvil cell. Chem. Geol. 1994, 116(3-4):181-188.
22. Gagnon R.E., Kiefte H., Clouter M.J., Whalley E. Acoustic velocities and densities of polycrystalline ice Ih, II, III, V, and VI by Brillouin spectroscopy. J. Chem. Phys. 1990, 92:1909.
23. 2O: implications for the deep liquid layer of icy satellites. Lunar Planet. Inst. Sci. Conf. Abstr. 2001, 32:1524.
24. Goodman J.C., Lenferink E. Numerical simulations of marine hydrothermal plumes for Europa and other icy worlds. Icarus 2012, 221(2):970-983.
25. Hogenboom D.L., Kargel J.S., Ganasan J.P., Lee L. Magnesium sulfate-water to 400MPa using a novel piezometer: densities, phase equilibria, and planetological implications. Icarus 1995, 115(2):258-277.
26. Hu Y.-F. New predictive equations for the specific and apparent molar heat capacities of multicomponent aqueous solutions conforming to the linear isopiestic relation. Bull. Chem. Soc. Jpn. 2001, 74:47-52.
27. Hu Y.-F., Fan S.-S. Estimating the speed of sound, compressibility, and thermal expansion for multicomponent solutions conforming to the linear isopiestic relation. Fluid Phase Equilib. 2001, 187:403-413.
28. Hussmann H., Sohl F., Spohn T. Subsurface oceans and deep interiors of medium-sized outer planet satellites and large trans-neptunian objects. Icarus 2006, 185:258-273.
29. Iess L., Jacobson R.A., Ducci M., Stevenson D.J., Lunine J.I., Armstrong J.W., Asmar S.W., Racioppa P., Rappaport N.J., Tortora P. The tides of Titan. Science 2012, 337(6093):457-459.
30. Johnson J.W., Oelkers E.H., Helgeson H.C. SUPCRT92: a software package for calculating the standard molal thermodynamic properties of minerals, gases, aqueous species, and reactions from 1 to 5000bar and 0 to 1000. Comput. Geosci. 1992, 18(7):899-947.
31. Khurana K.K., Kivelson M.G., Stevenson D.J., Schubert G., Russell C.T., Walker R.J., Polanskey C. Induced magnetic fields as evidence for subsurface oceans in Europa and Callisto. Nature 1998, 395(6704):777-780.
32. Kivelson M. G., Khurana K. K. and Volwerk M. (2009) Europa's interaction with the jovian magnetosphere. In Europa (eds. R. T. Pappalardo, W. M. McKinnon, K. K. Khurana, with the assistance of René Dotson with 85 collaborating authors). University of Arizona Press, Tucson. The University of Arizona space science series ISBN: 9780816528448, p. 545 1, 545.
33. Krumgalz B., Pogorelskii R., Sokolov A., Pitzer K. Volumetric ion interaction parameters for single-solute aqueous electrolyte solutions at various temperatures. J. Phys. Chem. Ref. Data 2000, 29(5):1123-1140.
34. Krumgalz B.S., Starinsky A., Pitzer K.S. Ion-interaction approach: pressure effect on the solubility of some minerals in submarine brines and seawater. J. Solution Chem. 1999, 28(6):667-692.
35. Lee S.W., Zanolin M., Thode A.M., Pappalardo R.T., Makris N.C. Probing Europa's interior with natural sound sources. Icarus 2003, 165(1):144-167.
36. Lin C.-W., Trusler J.P.M. The speed of sound and derived thermodynamic properties of pure water at temperatures between (253 and 473)K and at pressures up to 400MPa. J. Chem. Phys. 2012, 136:094511.
37. Lo Surdo A., Alzola E. M. and Millero F. J. (1982) The (p, V, T) properties of concentrated aqueous-electrolytes. 4. Changes in the compressibilities of mixing the major sea salts at 25-degrees-C aqueous electrolytes I. Densities and apparent molar volumes of NaCl, Na2SO4, MgCl2, and MgSO4 solutions from 0.1molkg-1 to saturation and from 273.15-323.15K. J. Chem. Thermodyn. 14(7), 649-662.
38. Madekufamba M., Tremaine P.R. Ion association in dilute aqueous magnesium sulfate and nickel sulfate solutions under hydrothermal conditions by flow conductivity measurements. J. Chem. Eng. Data 2011, 56(4):889-898.
39. Marion G.M. and Grant S.A. (1994) FREZCHEM: A chemical-thermodynamic model for aqueous solutions at subzero temperatures. Technical report, DTIC Document.
40. Marion G.M., Kargel J.S., Catling D.C., Jakubowski S.D. Effects of pressure on aqueous chemical equilibria at subzero temperatures with applications to Europa. Geochim. Cosmochim. Acta 2005, 69(2):259-274.
41. Marion G.M., Kargel J.S., Catling D.C., Lunine J.I. Modeling ammonia-ammonium aqueous chemistries in the solar system's icy bodies. Icarus 2012, 220:932-946.
42. Melosh H.J., Ekholm A.G., Showman A.P., Lorenz R.D. The temperature of Europa's subsurface water ocean. Icarus 2004, 168(2):498-502.
43. Millero F.J. Influence of Pressure on Chemical Processes in the Sea 1983, Academic Press, London, pp. 1-87, Chapter 43.
44. Millero F.J., Chen C.A. The speed of sound in mixtures of the major sea salts - a test of Young's rule for adiabatic PVT properties. J. Solution Chem. 1985, 14(4):301-310.
45. 4 solutions at 0 and 50°C. J. Chem. Eng. Data 1973, 18(4):407-411.
46. Millero F.J., Lampreia I.M.S. The PVT properties of concentrated aqueous-electrolytes. 4. Changes in the compressibilities of mixing the major sea salts at 25-degrees-C. J. Solution Chem. 1985, 14(12):853-864.
47. 4 solutions from 0 to 100 C. J. Solution Chem. 1987, 16(4):269-284.
48. Monnin C. An ion interaction model for the volumetric properties of natural waters: density of the solution and partial molal volumes of electrolytes to high concentrations at 25°C. Geochim. Cosmochim. Acta 1989, 53(6):1177-1188.
49. 4 in pure water and water+urea mixtures. J. Chem. Eng. Data 2004, 49:94-98.
50. 2O system and its implication for the internal structure of Ganymede. Icarus 2011, 211(1):648-654.
51. Phutela R.C., Pitzer K.S. Densities and apparent molar volumes of aqueous magnesium sulfate and sodium sulfate to 473k and 100bar. J. Chem. Eng. Data 1986, 31(3):320-327.
52. Phutela R.C., Pitzer K.S. Heat capacity and other thermodynamic properties of aqueous magnesium sulfate to 473K. J. Phys. Chem. 1986, 90:895-901.
53. Pitzer K.S. Thermodynamics of electrolytes. I. Theoretical basis and general equation. J. Phys. Chem. 1973, 77:268-277.
54. Span R. Multiparameter equations of state: an accurate source of thermodynamic property data 2000, Springer Verlag.
55. Sotin C., Tobie G. Internal structure and dynamics of the large icy satellites. C.R. Phys. 2004, 5(7):769-780.
56. Vance S., Brown J.M. Layering and double-diffusion style convection in Europa's ocean. Icarus 2005, 177(2):506-514.
57. Vance S. and Brown J. M. (2008). The simulator for icy world interiors, an apparatus for optical measurements in aqueous systems in the range -20 to 100°C and 700MPa. Rev. Sci. Instrum. 79(1), 105105 1-5.
58. Vance S., Brown J.M. Sound velocities and thermodynamic properties of water to 700MPa and -20 to 100°C. J. Acoustic Soc. Am. 2010, 127(1):174-180.
59. Vance, S. and Goodman, J. (2009). Oceanography of an ice-covered moon. In Europa (eds. R. T. Pappalardo, W. M. McKinnon, K. K. Khurana, with the assistance of René Dotson with 85 collaborating authors). University of Arizona Press, Tucson. The University of Arizona space science series ISBN: 9780816528448, pp. 459-482.
60. Vance S., Harnmeijer J., Kimura J., Hussmann H., deMartin B., Brown J.M. Hydrothermal systems in small ocean planets. Astrobiology 2007, 7(6):987-1005.
61. Wagner W., Pruss A. The IAPWS formulation 1995 for the thermodynamic properties of ordinary water substance for general and scientific use. J. Phys. Chem. Ref. Data 2002, 31(2):387-535.
62. Wiryana S., Slutsky L.J., Brown J.M. The equation of state of water to 200°C and 3.5GPa: model potentials and the experimental pressure scale. Earth Planet. Sci. Lett. 1998, 163:123-130.
63. Wolery T. J. Laboratory, L. L. N. and of Energy, U. S. D. (1992), EQ3/6: A software package for geochemical modeling of aqueous systems: package overview and installation guide (version 7.0), Lawrence Livermore National Laboratory.