The P-V-T Behavior of Nitrogen, Argon, and Their Mixtures

Crain, Richard W.; Sonntag, R. E.

doi:10.1007/978-1-4757-0522-5_42

Cited by 62 publications

(22 citation statements)

References 21 publications

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“…In conclusion, it can be said that for subcritical temperatures the new accurate (p, r, T ) measurements on nitrogen were required in order to establish a new equation of state of reference quality. Figure 4 shows comparisons with selected experimental results of other workers (23)(24)(25)(26)(27)(28) on three supercritical isotherms in the temperature range between 140 K and 223 K. With the exception of the (p, r, T ) values of Zozulya and Blagoi (24) all sets of measurements agree with each other to within =1·10 −3 ·r =. The measuring runs of Crain and Sonntag (28) and Canfield et al (26) mostly deviate by not more than their uncertainty of =8·10 −4 ·r =.…”

Section: Discussionsupporting

confidence: 61%

“…Figure 4 shows comparisons with selected experimental results of other workers (23)(24)(25)(26)(27)(28) on three supercritical isotherms in the temperature range between 140 K and 223 K. With the exception of the (p, r, T ) values of Zozulya and Blagoi (24) all sets of measurements agree with each other to within =1·10 −3 ·r =. The measuring runs of Crain and Sonntag (28) and Canfield et al (26) mostly deviate by not more than their uncertainty of =8·10 −4 ·r =. For temperatures above 156 K, extraordinarily good agreement between the new values and the measurements of Roe (27) can be ascertained; the deviations are mostly inside the uncertainty of our work.…”

Section: Discussionsupporting

confidence: 61%

“…Figure 5 shows comparisons with selected experimental results of other workers (14,(25)(26)(27)(28)(29)(30)(31)(32)(33)(34) on three supercritical isotherms in the temperature range between 260 K and 325 K. The diagrams have an extremely large resolution of 23·10 −4 ·r due to the outstanding data situation in this special temperature range close to the ambient temperature. With the exception of the measuring runs of Friedman, (25) Canfield et al, (26) and Crain and Sonntag (28) nearly all data points confirm each other within the experimental uncertainty of this work. In particular, the (p, r, T ) values of Pieperbeck et al, (34) Guo et al, (31) and Duschek et al (7) are in excellent agreement with the new values, mostly to within =5·10 −5 ·r =.…”

Section: Discussionmentioning

confidence: 93%

“…(35) The grey area corresponds to the experimental uncertainty of the measurements in this work. (26) , Crain and Sonntag; (28) , Friedman; (25) , Roe; (27) w, Straty and Diller; (23) , Zozulya and Blagoi; (24) -·-·-, values calculated from the equation of state of Jacobsen et al; (36) -··-·· -, values calculated from the IUPAC equation of state. (35) The grey area corresponds to the experimental uncertainty of the measurements in this work.…”

Section: Discussionmentioning

confidence: 99%

“…, Canfield et al; (26) , Crain and Sonntag; (28) q, Duschek et al; (14) , Friedman; (25) $, Guo et al; (31) r, Jaeschke et al (32) (Burnett measurements); t, Jaeschke et al (32) (refractive-index measurements); , Michels et al; (33) , Pieperbeck et al; (34) , Roe; (27) -·-·-, values calculated from the equation of state of Jacobsen et al; (36) -··-··-, values calculated from the IUPAC equation of state. (35) The grey area corresponds to the experimental uncertainty of the measurements in this work.…”

mentioning

confidence: 98%

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Measurement and correlation of the (p,ρ,T) relation of nitrogen. I. The homogeneous gas and liquid regions in the temperature range from 66 K to 340 K at pressures up to 12 MPa

Nowak

Kleinrahm

Wagner

1997

The Journal of Chemical Thermodynamics

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Section: Discussionsupporting

confidence: 61%

Section: Discussionsupporting

confidence: 61%

Section: Discussionmentioning

confidence: 93%

Section: Discussionmentioning

confidence: 99%

mentioning

confidence: 98%

See 3 more Smart Citations

Measurement and correlation of the (p,ρ,T) relation of nitrogen. I. The homogeneous gas and liquid regions in the temperature range from 66 K to 340 K at pressures up to 12 MPa

Nowak

Kleinrahm

Wagner

1997

The Journal of Chemical Thermodynamics

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Properties of supercritical N₂, O₂, CO₂, and NH₃ mixtures from the virial equation of state

2020

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We report virial coefficients up to sixth order in density for N 2 , O 2 , NH 3 , and CO 2 , covering temperatures from 50 to 1,000 K. The reported values include coefficients and their first three temperature derivatives, for the pure species as well as all of those needed to evaluate full composition dependence of mixtures formed from any or all of these compounds. The values are obtained by calculation of appropriate cluster integrals using Mayer sampling Monte Carlo, with intermolecular interactions described by the Transferable Potential for Phase Equilibria (TraPPE) force field. All coefficients are fit as a function of temperature, yielding a thermodynamic model with analytic dependence on temperature, density, and composition. The coefficients and properties computed from them are compared to experimental data where available.

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Third virial coefficients of nonpolar gases and their mixtures

1967

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While much attention has been given to second virial coefficients of nonpolar gases, experimental and theoretical studies on third virial coefficients are scarce. This work presents a correlation of third virial coefficients within the framework of the corresponding states principle. The correlation is useful for estimating third virial coefficients of pure and mixed nonpolar gases, including the quantum gases helium, hydrogen, and neon. The importance of third virial cross coefficients in phase equilibrium predictions is illustrated with calculations for the solid-gas, methane-hydrogen system a t 76°K.Brief attention is given to the pressure series form of the virial equation. Because of fortuitous cancellations, it is shown that for reduced temperatures above 1.4, the pressure series, truncated after the second term, is applicable to a wider range of density than the density series truncated after the second term. However, when both series are truncated after the third term, the density series appears to be superior regardless of reduced temperature.To describe the volumetric properties of gases, many For practical work, the advantages and disadvantages of the virial e uation have often been discussed (16, 46, 47, 48) ; briefy, th e advantages follow from the direct relationship between virial coefficients and intermolecular forces and the disadvantages follow from our inadequate quantitative knowled e of virial coefficients higher than at moderate densities, below the critical, but has little practical utility at high densities beyond the critical.The technical literature abounds with studies of the second virial coefficient and, as a result of much theoretical and experimental work, it is now possible to make good estimates of the second virial coefficient of a large number of gases from a minimum of experimental data (29, 30, 58). For typical applied calculations, the correlation of Pitzer and Curl (27, 45) is probably the most useful. However, much less attention has been given to the third virial coefficient, primarily for two reasons: first, because of experimental difficulties, good data for the third virial coefficient are scarce, and second, theoretical calculations with potential energy functions used are tedious and, for accurate results, require corrections to the assumption of pairwise additivity which are at best known only approximately (55 to 57). In this work we have collected and examined the limited amount of experimental third virial coefficients now available and we have correlated them as best as we can. Our correlation is limited to nonpolar gases but holds also for the quantum fluids helium, hydrogen, and neon. Since the purpose of our correlation is application oriented, we have given the second. As a resu 7 t, the virial equation is most useful brief attention to the third virial coefficient of the pressure series virial equation which, while theoretically less significant, is sometimes more convenient. More important, we have considered how our correlation may be used to estimate th...

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The P-V-T Behavior of Nitrogen, Argon, and Their Mixtures

Cited by 62 publications

References 21 publications

Measurement and correlation of the (p,ρ,T) relation of nitrogen. I. The homogeneous gas and liquid regions in the temperature range from 66 K to 340 K at pressures up to 12 MPa

Measurement and correlation of the (p,ρ,T) relation of nitrogen. I. The homogeneous gas and liquid regions in the temperature range from 66 K to 340 K at pressures up to 12 MPa

Properties of supercritical N₂, O₂, CO₂, and NH₃ mixtures from the virial equation of state

Third virial coefficients of nonpolar gases and their mixtures

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The P-V-T Behavior of Nitrogen, Argon, and Their Mixtures

Cited by 62 publications

References 21 publications

Measurement and correlation of the (p,ρ,T) relation of nitrogen. I. The homogeneous gas and liquid regions in the temperature range from 66 K to 340 K at pressures up to 12 MPa

Measurement and correlation of the (p,ρ,T) relation of nitrogen. I. The homogeneous gas and liquid regions in the temperature range from 66 K to 340 K at pressures up to 12 MPa

Properties of supercritical N2, O2, CO2, and NH3 mixtures from the virial equation of state

Third virial coefficients of nonpolar gases and their mixtures

Contact Info

Product

Resources

About

Properties of supercritical N₂, O₂, CO₂, and NH₃ mixtures from the virial equation of state