The second and third virial coefficients of simple fluids

Boltachev, G. Sh.; Байдаков, В. Г.

doi:10.1007/s10740-006-0009-z

Cited by 8 publications

(7 citation statements)

References 19 publications

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“…Measurements of adsorption isotherms were also described in detail elsewhere. , Capillary condensation and evaporation pressures of nitrogen in the ordered mesoporous silicas at various temperatures were reproduced from our previous studies. , The condensation and evaporation pressures were transformed to fugacities using the second and third virial coefficients, in order to compare with theoretical results.…”

Section: Methodsmentioning

confidence: 99%

Revisiting the Nature of Adsorption and Desorption Branches: Temperature Dependence of Adsorption Hysteresis in Ordered Mesoporous Silica

Morishige

2021

ACS Omega

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To gain a deeper understanding as to the nature of the adsorption hysteresis due to capillary condensation of nitrogen in ordered mesoporous silicas, we calculated the temperature dependences of the activated condensation, equilibrium transition, and activated desorption pressures for nitrogen in spherical and cylindrical silica pores with several different pore sizes on the basis of semimacroscopic continuum models. The results clearly indicate that the models capture the exact nature of capillary condensation and evaporation phenomena of a fluid in cagelike and cylindrical mesopores. The temperature dependences of the adsorption hysteresis of nitrogen measured confirm previous theoretical predictions for cylindrical pores: for the ordered mesoporous silicas with cylindrical mesopores at least greater than ∼7 nm in diameter, the capillary condensation takes place via a nucleation process followed by a growth process of a bridging meniscus at pressures higher than the equilibrium transition, while the capillary evaporation takes place via a receding meniscus from pore ends at the equilibrium. For SBA-15 and MCM-41 with smaller mesopore sizes, on the other hand, the capillary condensation takes place close to the equilibrium transition pressures, while the capillary evaporation takes place at pressures lower than the equilibrium, owing to single pore blocking due to corrugation of the cylindrical pores. We discuss the effect of curvature on surface tension in capillary condensation, as well as the relation between a change in the mechanisms of adsorption and desorption and the pore corrugation in the cylindrical pores.

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Section: Methodsmentioning

confidence: 99%

Revisiting the Nature of Adsorption and Desorption Branches: Temperature Dependence of Adsorption Hysteresis in Ordered Mesoporous Silica

Morishige

2021

ACS Omega

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“…Para el ajuste de B 3 experimental y B 3 calculado con el potencial de Lennard-Jones, utilice mínimos cuadrados, similar al ajuste de B 2 , pero tomando más términos, este coeficiente es más difícil de ajustar, Boltachev [2] represento B 3 reducido como combinación lineal de potencias inversas con exponenciales, tomando esto como precedente, el B 3 que proponemos es de la forma…”

Section: Resultsunclassified

“…El término 6V b 3 esta dado por la ecuación anterior y ahora escribimos en forma conveniente 12V b 2 2 para restarlo de 6V b 3 . Sabemos que…”

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Cálculo del segundo y tercer coeficiente del virial con el potencial de Lennard-Jones, parte II

Reyes

Roldán

2019

Rev. Escuela Física

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Este articulo es la segunda parte del trabajo presentado por Reyes y Galo, calculamos el tercer coeficiente del virial usando el enfoque clásico ya que el Argón que es el gas seleccionado tiene una longitud de onda térmica menor que el diámetro de colisión ası́ el efecto cuántico es despreciable. El potencial utilizado para calcular el tercer coeficiente del virial es el potencial de Lennard-Jones, los resultados se compararon con los coeficientes experimentales reportados en la literatura cientı́fica, los resultados teóricos difieren de los resultados experimentales lo cual indica que nuestro modelo no es adecuado para describir la interacción de cúmulos con tres partı́culas. Se calcularon ecuaciones para el tercer coeficiente virial utilizando mı́nimos cuadrados, ya que mediante estas ecuaciones se pueden calcular propiedades termodinámicas de interés.

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“…Obviously, for all of the potentials, this quantity curves at the lower and higher temperatures. Botachev and Baidakov suggested that most of the second virial coefficient data are in the temperature range of (0.5 − 3) T c which corresponds approximately to a reduced temperature range of 0.5 < T * < 4.0 for a Lennard−Jones fluid. We have considered the reduced temperature range of 0.3 < T * < 10.0 and plotted the ( T * − T Boyle * )/ B * quantity versus T * 1.1 for different second virial coefficients from different pair potentials.…”

Section: Resultsmentioning

confidence: 99%

An Empirical Functional Representation, Extrapolation, and Internal Consistency of Second Virial Coefficients

et al. 2010

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In this work, we present a simple pseudolinear function to extrapolate second virial coefficients to high temperatures or to correlate them using a Boyle temperature function. Accurate values of the Boyle temperature also result from this function if they are not available from measurement. With the new function, only two experimental points are necessary to predict the second virial coefficient within experimental error over a wide range of temperatures. The new approach is valid for pure and mixture second virial coefficients, and it provides a means to check the internal consistency among data using the Boyle temperature as a reducing parameter. Also, it allows simple representations of the second virial coefficient from pair potentials. It can be considered a tool to check the correct behavior of equations of state.

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The second and third virial coefficients of simple fluids

Cited by 8 publications

References 19 publications

Revisiting the Nature of Adsorption and Desorption Branches: Temperature Dependence of Adsorption Hysteresis in Ordered Mesoporous Silica

Revisiting the Nature of Adsorption and Desorption Branches: Temperature Dependence of Adsorption Hysteresis in Ordered Mesoporous Silica

Cálculo del segundo y tercer coeficiente del virial con el potencial de Lennard-Jones, parte II

An Empirical Functional Representation, Extrapolation, and Internal Consistency of Second Virial Coefficients

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