Linear isotherms for dense fluids: a new regularity

Parsafar, Gholamabbas; Mason, Edward A.

doi:10.1021/j100137a035

Cited by 108 publications

(141 citation statements)

References 4 publications

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“…The regularity was tested for 13 fluids, including nonpolar, polar, hydrogen-bonded, and quantum fluids, and found to be valid for all of them [25]. Experimentally, the regularity holds for liquid isotherms from the vaporization line to the freezing line and for supercritical isotherms for densities greater than the Boyle density and for temperatures less than twice the Boyle temperature.…”

Section: Fluids (T > T C )mentioning

confidence: 99%

“…This equation works very well for all types of dense fluids, for densities greater than the Boyle density but for temperatures below twice the Boyle temperature. The regularity was originally suggested on the basis of a simple lattice-type model applied to a Lennard-Jones (12,6) fluid [25,26]. In present paper, the new parameters of temperature dependency have been used to predict the metal-nonmetal transition of lithium metal.…”

Section: Introductionmentioning

confidence: 99%

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Calculation of Thermal Pressure Coefficient of Lithium Fluid by pVT Data

Moeini

2012

ISRN Physical Chemistry

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For thermodynamic performance to be optimized, particular attention must be paid to the fluid's thermal pressure coefficients and thermodynamics properties. A new analytical expression based on the statistical mechanics is derived for thermal pressure coefficients of dense fluids using the intermolecular forces theory to be valid for liquid lithium as well. The results are used to predict the parameters of some binary mixtures at different compositions and temperatures metal-nonmetal lithium fluid which agreement with experimental data. In this paper, we have used newly presented parameters of analytical expressions based on the statistical mechanics and predicted the metal-nonmetal transition for liquid lithium. The repulsion term of the effective pair potential for lithium shows well depth at 1600 K, and the position of well depth maximum is in agreement with X-ray diffraction and small-angle X-ray scattering.

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Section: Fluids (T > T C )mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Calculation of Thermal Pressure Coefficient of Lithium Fluid by pVT Data

Moeini

2012

ISRN Physical Chemistry

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“…Lennard-Jones potential function suitably describes the interactions between the molecules of a fluid under the condition that it behaves as a normal fluid. These regularities were attempted to calculate the thermodynamic quantities by modeling the average configurationally potential energy and then taking its derivative with respect to volume [9,10]. In the present work, using the experimental PVT, the molecular diameter will be calculated in the following stages.…”

Section: Theorymentioning

confidence: 99%

Determination of Molecular Diameter by PVT

Moeini

Deilam

2012

ISRN Physical Chemistry

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We derive an equation for calculation of molecular diameter of dense fluids, with using simultaneous Lennard-Jones (12-6) potential function and the internal pressure results. Considering the internal pressure by modeling the average configurational potential energy and then taking its derivative with respect to volume to a minimum point of potential energy has been shown that molecular diameter is function of the resultant of the forces of attraction and the forces of repulsion between the molecules in a fluid. The regularity is tested with experimental data for 10 fluids including Ar, N 2 , CO, CO 2 , CH 4 , C 2 H 6 , C 3 H 8 , C 4 H 10 , C 6 H 6 , and C 6 H 5 CH 3 . These problems have led us to try to establish a function for the accurate calculation of the molecular diameter based on the internal pressure theory for different fluids. The relationship appears to hold both compressed liquids and dense supercritical fluids.

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“…The A parameter of the LIR is related to the non-ideal thermal pressure as [18] where γ = (∂P /∂T ) v is the thermal pressure coefficient and R is the gas constant. If A is substituted from Eq.…”

Section: Deriving the Temperature Dependence Of The A Parameter Of Thmentioning

confidence: 99%

Analysis of Different EOSs in Predicting the Ideal Curve and Deriving the Temperature Dependencies of Their Parameters

Parsafar

Saydi

2004

International Journal of Thermophysics

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The regularity shown by different fluids along the contour of the ideal compressibility factor Z = P V /(RT ) = 1 in the temperature-density plane is used to test the accuracy of different equations of state and derive temperature dependencies of their parameters. For a wide range of pure fluids, this contour, known as the Zeno line, has been empirically observed to be nearly linear. The precision of the van der Waals (vdW) equation in predicting the Zeno line has been evaluated and shown that this equation predicts a linear relation between temperature and density on the Z = 1 contour, qualitatively. However, the line shows significant deviations from the experimental Zeno line. Experimental PVT data for CO 2 is used to obtain the temperature dependencies of the vdW parameters. The vdW equation with such temperature dependencies does not show a straight line for the Z = 1 contour. This means that the equation is not able to predict the Zeno line, both qualitatively and quantitatively. Also, the accuracy of the modified vdW equations in predicting the Zeno line has been investigated. It is shown that none of these equations can predict the Zeno line qualitatively. However, the predicted line on the Z = 1 contour given by some of these equations is near the experimental Zeno line. Assuming that the Zeno line must hold, the temperature dependence of the non-ideal thermal pressure, A , of the linear isotherm regularity as A = a + bT + c/T has been derived. Such a temperature dependence was confirmed by experimental data. The derived expression for A was used to obtain the temperature dependence of the thermal pressure coefficient, which is in accordance with experimental data. Also, the temperature dependencies of the parameters of the dense system equation of state

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Linear isotherms for dense fluids: a new regularity

Cited by 108 publications

References 4 publications

Calculation of Thermal Pressure Coefficient of Lithium Fluid by pVT Data

Calculation of Thermal Pressure Coefficient of Lithium Fluid by pVT Data

Determination of Molecular Diameter by PVT

Analysis of Different EOSs in Predicting the Ideal Curve and Deriving the Temperature Dependencies of Their Parameters

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