Determination of Molecular Diameter by PVT

Moeini, Vahid; Deilam, Mehri

doi:10.5402/2012/521827

Cited by 6 publications

(5 citation statements)

References 22 publications

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“…LennardJones potential function suitably describes the interactions 2 ISRN Physical Chemistry between the molecules of a fluid under the condition that it behaves as a normal fluid. The internal pressure regularity was attempted to calculate the internal pressure by modeling the average configurationally potential energy and then taking its derivative with respect to volume [7,8].…”

Section: Introductionmentioning

confidence: 99%

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: Introductionmentioning

confidence: 99%

Calculation of Thermal Pressure Coefficient of Lithium Fluid by pVT Data

Moeini

2012

ISRN Physical Chemistry

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“…Replacing T in equation (1) by the expression (15), one obtaines the equation for the spinodal in P, V coordinates as follows:…”

Section: Scaling With the Liquid-vapour Critical-point Parametersmentioning

confidence: 99%

“…is linear with respect to density squared for each isotherm where E-internal energy; V -molar volume and r-molar density. The internal energy regularity has been validated [15]. An isotherm regularity that (…”

Section: Introductionmentioning

confidence: 99%

Criticality points on the phase diagram of substances as scaling parameters in the law of corresponding states: alkali metals

Arumugam¹,

Ramasamy²

2023

Phys. Scr.

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The law of corresponding states (LCS), based on a generalized van der Waals equation of state (gvdWEoS) has been formulated by rescaling its thermodynamic variables with liquid - vapour critical – point parameters, the spinodal, the thermodynamic limit of superheat (TLS) and the supercritical (SC) point. This gvdWEoS, which satisfactorily describes the properties of alkali metals, differs from the known van der Waals equation of state (vdWEoS) by the modified attractive term. The scaling properties have been derived on the basis of the gvdWEoS. The expressions for the isothermal compressibility, a derivate of Gibbs free energy have been derived. In all these cases of rescaling, the gvdWEoS has the similar functional form and the expression for isothermal compressibility has a similar functional form. Hence, it has been established that the parameters of at any spinodal-point on the phase diagram, including the TLS as a particular case, and the SC point, characteristic point on the quasispinodal, provide the alternate scales of parameterizing the fluid properties other than the liquid-vapour critical point.

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“…The idea has been presented a simple method that use to calculate thermal pressure coefficient directly in place of using equations of state to analysis experimental pVT data [6][7][8]. The equation of state described in papers is explicit in Helmholtz energy A with the two independent variables density  and T .…”

Section: Introductionmentioning

confidence: 99%

Calculation of Thermal Pressure Coefficient of Dense C15H32, C17H36, C18H38 and C19H40 Using pVT Data

Moeini¹,

Mahdianfar²

2012

JMP

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The thermal pressure coefficients in liquid n-Pentadecane (C15), n-Heptadecane (C17), n-octadecane (C18) and n-nonadecane (C19) was measured using pVT data. The measurements were carried out at pressures up to 150 MPa in the temperature range from 293 to 383 K. The experimental results have been used to evaluate various thermophysical properties such as thermal pressure coefficients up to 150 MPa with the use of density and temperature data at various pressures. New parameters of the linear isotherm regularity, the so-called LIR equation of state, are used to calculate of thermal pressure coefficients of n-Pentadecane (C15), n-Heptadecane (C17), n-octadecane (C18) and n-nonadecane (C19) dense fluids. In this paper, temperature dependency of linear isotherm regularity parameters in the form of a first order has been developed to second and third order and their temperature derivatives of new parameters are used to calculate thermal pressure coefficients. The resulting model predicts accurately thermal pressure coefficients from the lower density limit at the Boyle density at the from triple temperature up to about double the Boyle temperature. The upper density limit appears to be reached at 1.4 times the Boyle density. These problems have led us to try to establish a function for the accurate calculation of the thermal pressure coefficients based on the linear isotherm regularity theory for different fluids.

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Determination of Molecular Diameter by PVT

Cited by 6 publications

References 22 publications

Calculation of Thermal Pressure Coefficient of Lithium Fluid by pVT Data

Calculation of Thermal Pressure Coefficient of Lithium Fluid by pVT Data

Criticality points on the phase diagram of substances as scaling parameters in the law of corresponding states: alkali metals

Calculation of Thermal Pressure Coefficient of Dense C<sub>15</sub>H<sub>32</sub>, C<sub>17</sub>H<sub>36</sub>, C<sub>18</sub>H<sub>38</sub> and C<sub>19</sub>H<sub>40</sub> Using <i>pVT</i> Data

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