Investigation of Thermodynamic Properties of Heavy Metals from Melting and Critical Point Properties

Document Type : Research Article

Author

Department of Chemistry, College of Sciences, Persian Gulf University, Bushehr, I.R. IRAN

Abstract

A statistical mechanical based equation of state has been employed to calculate the liquid density of lead, mercury, bismuth and lead-bismuth and lead-lithium eutectic alloys.The equation is basically that of Song, Mason and Ihm [Ihm G, Song Y, Mason EA. J. Chem. Phys.1991; 94: 3839] which is modified by Ghatee and Boushehri. Three temperature dependent parameters are required to use this equation of state. The second virial coefficient B2, an effective van der Waals co- volume, b and a correction factor a. B2 is predicted from a corresponding states correlation with two scaling parameters, melting point temperature, Tm and liquid density at melting point, rm. Liquid densities are predicted from melting point up to several hundred degrees above the melting point. The results are fairly consistent with experiment. In order to evaluate the correlation equation, Tao and Mason equation of state is applied to the above cited liquid metals and liquid density results are compared to the present equation. Obviously, the first equation acts better.

Keywords

Main Subjects


[2] Stankus S. V., Khairulin R. A., Mozgovoy A.G., Roshchupkin V.V., Pokrasin M.A., The Density and Thermal Expansion of Eutectic Alloys of Lead with Bismuth and Lithium in Condensed State, J. Phys.: Conference Series, 98: 062017 (2008).
[3] Song Y., Mason E. A., Statistical-Mechanical Theory of a New Analytical Equation of State, J. Chem. Phys., 91: 7840-7854 (1989).
[4] Ihm G., Song Y., Mason  E.A., A New Strong Principle of Corresponding States for Nonpolar Fluids , J. Chem. Phys., 94: 3839-3849 (1991).
[5] Tao F.M., Mason E.A., Statistical-Mechanical Equation of State for Nonpolar Fluids: Prediction of Phase Boundaries, Int. J. Thermophys., 13: 1053-1060 (1992).
[6] Boushehri A., Mason E.A., Equation of State for Compressed Liquids and Their Mixtures from the Cohesive Energy Density, Int. J. Thermophys., 14: 685-697 (1993).
[7] Sheikh S., Papari M.M., Boushehri A., Equation of State and Pressure-Volume-Temperature Properties of Refrigerants Based on Speed of Sound Data, Ind. Eng. Chem. Res., 41: 3247-3281 (2002).
[8] Ghatee M.H. and Boushehri A., Corresponding States Correlation for the Surface Tension of Molten Alkali Metals, Int. J. Thermophys.,16:1429-1438 (1995).
[9] Mehdipour N., Boushehri A., Equation of States for Molten Alkali Metals from Surface Tension.  Part II, Int. J. Thermophys., 19: 331-340 (1998).
[10] Eslami H., Equation of State for Nonpolar Fluids: Prediction from Boiling Point Constants, Int. J. Thermophys., 21: 1123-1137 (2000).
[11] McQuarrie D.A., "Statistical Mechanics", Harper and Row, NewYork (1976).
[12] Weeks J. D., Chandler D. and Andersen H. C., Role of Repulsive Forces in Forming the Equilibrium Structure of Simple Liquids, J. Chem. Phys., 54: 5237-5247 (1971).
[13] Carnahan N.F., Starling K.E., Equation of State for Non-attracting Rigid Spheres, J. Chem. Phys., 51: 635-637 (1969).
[14] Sobolev V., Thermo-physical Properties of  Lead and Lead-Bismuth Eutectic, J. Nucl. Mat., 362:235-347 (2007).
[15] JauchV., Haase G. and Schulz B., "Thermophysical Properties in the System Li-Pb, Part II: Thermophysical Properties of Li (17) Pb(83) Eutectic Alloy", Kernforschungszentrum Karlsruhe, Karlsruhe (1986).
[16] Vargaftik B., "Handbook of Physical Properties of Liquids and Gases", 2nd ed., Hemisphere, Washington, DC (1983).
[17] Alchagirov B.B., Shamparov T.M., Mozgovoi A.G., Experimental Investigation of the Density of Molten Lead–Bismuth Eutectic, High Temp, 41, "8th International Conference of Nuclear Microprobe Technology and Applications", 210-215 (2003).
[18] Cailletet L., Matthias E., "Recherchessur les Densités de GazLiquéfieset de LeursVapeursSaturées", Comp. Rend. Acad. Sc. (Paris),102: 1202-1207 (1886).
[19] Martynyuk M. M., Critical Constants of Metals, Russ. J. Phys. Chem., 57: 494-501 (1983).
[20] Hensel, F., Chem. Brit., 24: 457-458 (1988).
[21] Azad A.M., Critical Temperature of the Lead-Bismuth Eutectic (LBE) Alloy, J. Nucl. Mater., 341: 45-52 (2005).
[22] Morita K., Maschek W., Flad M., Tobita Y., Yamano H., Critical Parameters and Equation of State for Heavy Liquid Metals, J. Nucl. Sci. Tech., 43: 526-536 (2006).
[24] Ghatee M. H. and BoushehriA., Equation of State for Compressed Liquids from Surface Tension, Int. J. Thermophys., 17: 945-957 (1996).
[25] Moghadasi J., Boushehri A., Maftoon L., Eslami H., An Analytical Equation of State for Alkaline Earth Metals, Int. J. Thermophys., 25: 893-908 (2004).
[26] Maftoon-Azad L., Boushehri A., Equation of State for Aluminum, J. Chem. Eng. Jpn., 39: 111-113 (2006).
[27] Yousefi F. and Kaveh M., Tao-Mason, Equation of State for Refractory Metals, Ind. J. Sci. & Tech., 5: 2364-2368 (2012).