Correlation for the third virial coefficient usingT_c,P_cand ω as parameters

Abstract

An empirical correlation for the third virial coefficient of nonpolar gases is developed. The correlation requires a knowledge of the critical temperature, critical pressure and acentric factor of the compounds for the prediction of third virial coefficients in the absence of experimental data. The use of the correlation for mixtures of nonpolar gases, including quantum gases, requires one binary parameter for each binary interaction. Predictions are in good agreement with reported experimental data and with the values obtained with existing correlations. HASAN ORBEY and J. H. VERA Department of Chemical EngineeringMcGill University Montreal, Quebec, Canada H3A 2A7 SCOPEThe pressure explicit virial equation of state, truncated after the second virial coefficient, is a useful expression for the calculation of thermodynamic properties of gases a t conditions such that the reduced volume is greater than 2. According to recent studies (De Santis and Grande, 1979), the addition of the third virial coefficient extends the applicability of the virial equation to conditions of temperature and pressure for which the reduced volume is greater than 1.3.Empirical correlations for the third virial coefficient (Chueh and Prausnitz, 1967a; Pope et a]., 1973; De Santis and Grande, 1979) are either of limited applicability or require extensive information to characterize the compound. This work presents a generalized correlation for the third virial coefficient of pure and mixed nonpolar compounds, including quantum gases, using critical temperature, critical pressure and acentric factor, similar to the successful empirical correlations for second virial coefficient (Pitzer and Curl, 1957;Tsonopoulos, 1974Tsonopoulos, ,1979. CONCLUSIONS AND SIGNIFICANCEThird virial coefficients for nonpolar gases, including quantum gases, have been correlated using three characteristic parameters for each compound. These three parameters are the same required by successful correlations for the second virial coefficient, i.e., the critical temperature, the critical pressure and the acentric factor. This fact allows the use of the virial equation up to densities of the order of 0.75 the critical density using the same information that previously did not allow one to go beyond 0.5 the critical density. Third virial coefficients of mixtures of nonpolar gases, including quantum gases, may be predicted using one binary interaction parameter. Within the accuracy of the experimental information on the third virial coefficients, the new correlation performs as well as the more complex expressions existing in the literature.The pressure explicit virial equation of state may be written as where B is the second virial coefficient, C is the third virial coefficient, etc. The virial coefficients are only a function of temperature for a given compound. In principle, they may be obtained from potential functions for intermolecular interactions.In macroscopic terms, following the three parameter corresponding states theorem, nonpolar fluids may be characterized b...

Thermodynamic properties of pyridine—I. Vapor pressures, high-temperature heat capacities, densities, critical properties, derived thermodynamic functions, vibrational assignment, and derivation of recommended values

“…Second virial coefficients were estimated with the corresponding-states equation of Pitzer and Curl, (28) and third virial coefficients were estimated with the corresponding-states method of Orbey and Vera. (29) This formulation for third virial coefficients was applied successfully in analyses of the thermodynamic properties of benzene and methylbenzene, (13) and 2-methylaniline. (30) Uncertainties in the virial coefficients were assumed to be 10 per cent.…”

Ammonia–benzene association. Second virial cross coefficients for ammonia–benzene and ammonia–cyclohexane derived from gas phase excess enthalpy measurements

“…Third virial coefficients can be estimated from either the corresponding states correlation of Chueh and = 0.101325 MPa, the contribution H E m (C) arising from third virial coefficients calculated from the correlation of Orbey and Vera, (7) and H E m (B) which is the contribution to the excess enthalpy arising from second virial coefficients only and is…”

Analysis on Influence Factors of Air Ejection's Interior Ballistic Characteristics Based on Real Gas Effects

“…According to the mass and energy equations of high pressure and low pressure chambers, flow equations and the Virial equation of corresponding state [4][5][6][7] , the mathematical model is achieved as below with referring to the documentation 3rd: …”