Abstract
Equations for the isobaric coefficient of thermal expansion α p , thermal pressure coefficient γ v , and isothermal compressibility β T of a hard sphere fluid are obtained in terms of the respective liquid density, effective hard sphere diameter σ and its temperature dependencel=(d σ/dT)/σ with the aid of the equation of state for a hard sphere fluid due toCarnahan andStarling. In addition, the temperature dependence of the thermal pressure coefficient is calculated, the results being in good qualitative accord with experiment. Differences between calculated and observed values are discussed and several derived quantities (starting with γ v ) are calculated. Specifically, the volume dependence of the molar heat capacity at constant volumeC V , a property which is not easily accessible experimentally, is determined; agreement with published values is quite satisfactory.
Similar content being viewed by others
Literatur
M. S. Wertheim, Phys. Rev. Lett.10, 321 (1963);E. Thiele, J. Chem. Phys.39, 474 (1963);C. J. Throop undR. H. Bearman, J. Chem. Phys.42, 2408 (1965).
J. D. Bernal undS. V. King, in: Physics of Simple Liquids (H. N. V. Temperly, J. S. Rowlinson undG. S. Rushbrook, Hrsg.). Amsterdam: North-Holland. 1968;G. D. Scott, Nature194, 956 (1962).
M. N. Rosenbluth undA. W. Rosenbluth, J. Chem. Phys.22, 881 (1954).
H. C. Longuet-Higgins undB. Widom, Mol. Phys.8, 549 (1964).
E. A. Guggenheim, Mol. Phys.9, 43, 199 (1965).
B. Widom, in: Study week on molecular forces, Pontif. Accad. Sci. Scr. Varia. Amsterdam: North-Holland. 1967.
F. Kohler, The Liquid State. Weinheim: Verlag Chemie. 1972.
F. Kohler, Adv. Mol. Relaxation Processes3, 297 (1972).
S. E. Wood, O. Sandus undS. Weissman, J. Amer. Chem. Soc.79, 1777 (1957).
N. F. Carnahan undK. E. Starling, J. Chem. Phys.51, 635 (1969).
N. F. Carnahan undK. E. Starling, J. Chem. Phys.53, 600 (1970).
E. Wilhelm, J. Chem. Phys., im Druck.
H. Reiss, Adv. Chem. Phys.9, 1 (1965).
E. Wilhelm, J. Chem. Phys.58, 3558 (1973).
E. Wilhelm undR. Battino, J. Chem. Phys.58, 3561 (1973).
J. P. O'Connell undJ. M. Prausnitz, in: Applied Thermodynamics (D. E. Gushee, Hrsg.). Washington, D.C.: American Chemical Society. 1968.
E. Wilhelm undF. Kohler, Van der Waals Centennial Conference on Statistical Mechanics, Amsterdam, 27. bis 31. August 1973.
E. Wilhelm undF. Kohler, in Vorbereitung.
J. S. Rowlinson. Liquids and Liquid Mixtures. London: Butterworths. 1969.
E. Wilhelm undR. Battino, J. Chem. Phys.55, 4012 (1971).
E. Wilhelm undR. Battino, J. Chem. Thermodynamics3, 379 (1971).
R. Battino, F. D. Evans, W. F. Danforth undE. Wilhelm, J. Chem. Thermodynamics3, 743 (1971).
E. Wilhelm undR. Battino, J. Chem. Thermodynamics3, 761 (1971).
E. W. Wilhelm undR. Battino, J. Chem. Thermodynamics5, 117 (1973).
L. R. Field, E. Wilhelm undR. Battino, J. Chem. Thermodynamics, im Druck; teilweise vorgetragen bei 3rd Internat. Conference on Chemical Thermodynamics, Baden bei Wien, 3. bis 7. September 1973.
J. O. Hirschfelder, C. F. Curtiss undR. B. Bird, Molecular Theory of Gases and Liquids. New York: Wiley. 1966.
E. Wilhelm undR. Battino, J. Chem. Phys.56, 563 (1972).
Th. Dorfmüller, Ber. Bunsenges. physikalische Chemie77, 317 (1973).
R. E. Gibson undJ. F. Kincaid, J. Amer. Chem. Soc.60, 511 (1938);R. E. Gibson undO. H. Loeffler, J. Amer. Chem. Soc.61, 2515 und 2877 (1939);63, 898 (1941); J. Phys. Chem.43, 207 (1939).
U. Bianchi, G. Agabio undA. Torturro, J. Phys. Chem.69, 4392 (1965).
E. Wilhelm, R. Schano, G. Becker, G. H. Findenegg undF. Kohler, Trans. Faraday Soc.65, 1443 (1969).
E. Wilhelm, E. Rott undF. Kohler, Proc. 1st Internat. Conf. Calorimetry and Thermodynamics, Warschau, 31. 8. bis 4. 9. 1969.
M. Zettler, H. Sackmann undE. Wilhelm, in Vorbereitung.
R. J. Ritchie, Jr., J. Chem. Phys.46, 618 (1967).
E. B. Smith undJ. H. Hildebrand, J. Chem. Phys.31, 145 (1959).
J. H. Hildebrand undR. L. Scott, The Solubility of Nonelectrolytes. New York: Reinhold. 1950.
H. Benninga undR. L. Scott, J. Chem. Phys.23, 1911 (1955).
A. F. M. Barton, J. Chem. Educ.48, 156 (1971).
M. O. Bryant undG. O. Jones, Proc. Phys. Soc. Lond.B 66, 421 (1953).
J. A. Barker undD. Henderson, J. Chem. Phys.47, 4714 (1967).
E. Wilhelm, unveröffentlichte Ergebnisse.
Author information
Authors and Affiliations
Additional information
Mit 4 Abbildungen
Rights and permissions
About this article
Cite this article
Wilhelm, E. Thermomechanische Eigenschaften eines Systems harter Kugeln mit temperaturabhängigem, effektivem Durchmesser. Monatshefte für Chemie 105, 291–301 (1974). https://doi.org/10.1007/BF00907375
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00907375