Universal Behavior of Compressed Liquids

Baonza, Valentı́n G.; Alonso, M. Cáceres; Delgado, J.

doi:10.1021/j100070a001

Cited by 32 publications

(27 citation statements)

References 4 publications

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“…[35] and the molar volume calculated from Refs. [36][37][38][39]. The second virial coefficients for pure cyclopentane were taken from Dymond et al [40] and for pure xenon from the compilation of Dymond and Smith [41].…”

Section: Resultsmentioning

confidence: 99%

On the behaviour of solutions of xenon in liquid cycloalkanes: Solubility of xenon in cyclopentane

Bonifácio¹,

Filipe²,

Ramos³

et al. 2011

Fluid Phase Equilibria

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a b s t r a c tThe solubility of xenon in liquid cyclopentane has been studied experimentally and theoretically. Measurements of the solubility of xenon in liquid cyclopentane are reported as a function of temperature from 254.60 K to 313.66 K. The imprecision of the experimental data is less than 0.3%. The thermodynamic functions of solvation of xenon in cyclopentane, such as the standard Gibbs energy, enthalpy, entropy and heat capacity of solvation, have been calculated from the temperature dependence of Henry's law coefficients. The results provide further information about the differences between the xenon + cycloalkanes and the xenon + n-alkane interactions. In particular, interaction enthalpies between xenon and CH 2 groups in nalkanes and cycloalkanes have been estimated and compared. Using a version of the soft-SAFT approach developed to model cyclic molecules, we were able to reproduce the experimental solubility for xenon in cyclopentane using simple Lorentz-Berthelot rules to describe the unlike interaction.

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Section: Resultsmentioning

confidence: 99%

On the behaviour of solutions of xenon in liquid cycloalkanes: Solubility of xenon in cyclopentane

Bonifácio¹,

Filipe²,

Ramos³

et al. 2011

Fluid Phase Equilibria

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“…5 Finally, notice that, since the correct temperature dependences of the thermodynamic properties depend on the universal value given to the pseudocritical exponent ␤, the overall results corroborate the approximate value of ␤ϭ0.85 used here. 5,6 A detailed numerical analysis of this parameter shows that it changes slightly for different substances, although it usually remains around 0.80. In addition, as occurs with V sp and * also, the pseudocritical exponent ␤ depends on temperature ͑increases with temperature͒, although, to a first approximation, the constant value used here is good enough for our purposes.…”

Section: Discussionmentioning

confidence: 99%

Universal features of the equation of state of solids from a pseudospinodal hypothesis

et al. 1996

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We provide evidence of a universal equation of state for solids using a pseudospinodal hypothesis. A simple model to estimate the pseudospinodal curve is presented. This model combined with a previously reported ͑isothermal͒ volumetric equation ͓Baonza et al., Phys. Rev. B 51, 28 ͑1995͔͒ yields a complete equation of state applicable over the whole range of temperature. The resulting equation appears to be a well-behaved equation of state over the whole range of temperatures using a single reference thermodynamic state of the solid at atmospheric pressure as input data. Comparison with experimental results of molar volume, bulk modulus, and thermal-͑volumetric͒ expansion coefficient are presented. Comparison with previous equations of state are also presented and discussed. Our results imply that the thermodynamics of any solid are governed by its pseudospinodal curve.

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“…19 To consider the higher order term, more parameters are needed although very limited ways are available to obtain the corresponding information from experiment and simulation. Alternatively, one can express the isothermal bulk modulus B T (T, P) = B T (P) at a given temperature T in power law form as [14][15][16][17] …”

Section: Theorymentioning

confidence: 99%

“…For β < 1, the curve of the isothermal bulk modulus with respect to pressure becomes concave at high pressure; thus β = 0.85 is used. [14][15][16][17] By integrating Eq. (1) we can obtain the molar volume as a function of pressure,…”

Section: Theorymentioning

confidence: 99%

Thermodynamic properties of liquid sodium under high pressure

Zhang

Sun

et al. 2017

AIP Advances

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Acquiring reliable thermodynamic properties in liquid metals at high pressure and temperature is still a challenge in both experiment and theory. Equation of state (EoS) offers an alternative approach free of many of the difficulties. Here using the EoS of a power law form we obtained the thermodynamic properties of liquid sodium under pressure along the isothermal lines, including isothermal buck modulus, thermal expansion coefficient, Grüneisen parameter, and Anderson-Grüneisen parameter. The results are in excellent agreement with available experimental data measured by a piezometer at high temperature and high pressure and sound velocity measurement with pulse-echo technique. We found that the pressure derivative of the isothermal bulk modulus at zero pressure is a monotonic function of temperature and has a value around 4. In addition, unexpected crossing points were found in the isobaric thermal expansion coefficient and Grüneisen parameter; and a minimum in the isobaric heat under isothermal compression was also observed. While some of these detailed predictions are yet to be confirmed by further experiment, our results suggest that the power law form may be a more suitable choice for the EoS of liquids metals.

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Universal Behavior of Compressed Liquids

Cited by 32 publications

References 4 publications

On the behaviour of solutions of xenon in liquid cycloalkanes: Solubility of xenon in cyclopentane

On the behaviour of solutions of xenon in liquid cycloalkanes: Solubility of xenon in cyclopentane

Universal features of the equation of state of solids from a pseudospinodal hypothesis

Thermodynamic properties of liquid sodium under high pressure

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