Internal pressure and solubility parameter as a function of pressure

Verdier, Sylvain; Andersen, Simon Ivar

doi:10.1016/j.fluid.2005.01.009

Cited by 83 publications

(93 citation statements)

References 31 publications

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“…Among the different interpretations of the cohesive energy [35][36][37][38][39][40][41], one that relates this energy to the internal pressure is more convenient to apply especially for an EOS approach. The internal pressure is well defined by [19]:…”

Section: Theorymentioning

confidence: 99%

“…(2) is based on the rule "like dissolves like" that has been now modified to "like seeks like" [6,16]. But, this definition considers only one part of the molecular forces, that is, the dispersion and does not account completely the other two (hydrogen-bonding and polar molecular interactions) because a small isothermal expansion does not necessarily disrupt all of the intermolecular interactions equally [19,[38][39][40][41]. On the other hand, a cubic non-associating equation of state could not well predict the enthalpy of vaporization of the associating substances.…”

Section: Theorymentioning

confidence: 99%

“…The absolute average deviations of the mER predicted saturated vapor and liquid densities were found to be 1.17 and 0.95%, respectively, whereas they were 1. 19 …”

Section: The Er Eosmentioning

confidence: 99%

“…The latest EOS approach has been done by Zeng et al [18] who used the PC SAFT (perturbed-chain statistical associating fluid theory) equation of state for calculation of the HSPs of n-alkanes and 1-alcohols. In addition, the relations between the temperature and internal pressure with the solubility parameter have been studied by several authors [19,20].…”

Section: Introductionmentioning

confidence: 99%

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Estimation of solubility parameter by the modified ER equation of state

Eslamimanesh

Esmaeilzadeh

2010

Fluid Phase Equilibria

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Section: Theorymentioning

confidence: 99%

Section: Theorymentioning

confidence: 99%

“…The absolute average deviations of the mER predicted saturated vapor and liquid densities were found to be 1.17 and 0.95%, respectively, whereas they were 1. 19 …”

Section: The Er Eosmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Estimation of solubility parameter by the modified ER equation of state

Eslamimanesh

Esmaeilzadeh

2010

Fluid Phase Equilibria

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“…Vadamalar et al [10] also used acoustic and viscometric parameters to accurate calculate the internal pressure for binary mixtures of tert-butanol and isobutanol with methyl methacrylate. Verdier and Anderson [11] used indirect method to estimate the values of internal pressure of mixtures, using thermal expansivity (determined by microcalorimeter) and isothermal compressibility (determined by density measurements). Korolev [12] studied internal pressure of alcohols using the values of volumetric coefficient (thermal expansion and isothermal compressibility coefficients).…”

Section: Introductionmentioning

confidence: 99%

Internal pressure measurements of the binary 0.7393H2O+0.2607NH3 mixture near the critical and maxcondetherm points

Полихрониди

Batyrova

Abdulagatov

et al. 2010

Fluid Phase Equilibria

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Cubic Equations of State: The Classical Mixing Rules

Kontogeorgis

Folas

2009

Thermodynamic Models for Industrial Applications

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Cubic equations of state are classical high-pressure models. From a thermodynamic point of view, the term 'high pressure' refers to pressures high enough so as to have a significant effect on the thermodynamic properties of both phases, typically over 15-20 bar. High-pressure vapor-liquid equilibria (VLE) can be more complex than low-pressure VLE, since at high pressures both phases are non-ideal. At low pressures, the main source of non-ideality is the liquid phase. The non-ideality of the vapor phase at low pressures is typically about 10% and it can be estimated by, for example, corresponding states methods or the virial equation. K-charts and the Chao-Seader are popular methods for high-pressure VLE calculations for systems containing hydrocarbons and gases. By far, though, the most popular method is the equations of state, especially the cubic ones. In most cases, high-pressure VLE as found in nature and the chemical industry apply to mixtures with at least one subcritical and one supercritical component. In many oil-and gas-related systems, hydrocarbons are present together with gases (methane, ethane, CO 2 , N 2 , etc.) and sometimes water is also present.The two-and especially the three-parameter cubic equations of state (EoS) represent a family of classical but still very useful and widely applied engineering models. The most well-known EoS are the van der Waals (vdW), Redlich-Kwong (RK) (now mostly of historical value) and especially the Soave-Redlich-Kwong (SRK) and Peng-Robinson (PR) equations; the last two are typically employed in the petroleum and chemical industries. Such cubic EoS are still the primary choice of models today for petrochemicals, gas processing and air separation. 1,2 The most well-known cubic EoS together with the typical expressions often used for estimating their parameters are shown in Table 3.1.With reference to Table 3.1 and the methods shown for the estimation of the EoS parameters: T c is the critical temperature, P c is the critical pressure and T r is the reduced temperature (¼ T=T c ); and the generalization of the energy parameter as a function of temperature and the acentric factor, v, was first proposed by Soave. 5 The acentric factor, introduced by Pitzer, represents a measure of the acentricity (non-sphericity) of the molecule:v ¼ Àlog P sat r j Tr¼0:7 À 1:00 ð3:1Þwhere P sat r is the reduced vapor pressure (¼ P sat =P c ).

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Internal pressure and solubility parameter as a function of pressure

Cited by 83 publications

References 31 publications

Estimation of solubility parameter by the modified ER equation of state

Estimation of solubility parameter by the modified ER equation of state

Internal pressure measurements of the binary 0.7393H2O+0.2607NH3 mixture near the critical and maxcondetherm points

Cubic Equations of State: The Classical Mixing Rules

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