Extension of the Trebble-Bishnoi equation of state to fluid mixtures

Trebble, Mark A.; Bishnoi, P. R.

doi:10.1016/0378-3812(88)80020-7

Cited by 102 publications

(63 citation statements)

References 8 publications

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“…In the above equations, the symbols a d , b d , nu d and nθ d have the same meaning as defined in Refs. [4,5], and represent the derivative of the parameter with respect to n k . For the uncharged ionic species i, it is proposed that the constant a i , in the EOS, is arbitrarily taken to be the same as that for water and that the constant b i is to be calculated from…”

Section: Non-electrolyte Contributionmentioning

confidence: 99%

“…The anion diameters are shown in Table 1 [6]. In order to calculate the value for a, b, c and d in the mixture, we are proposing to use the quadratic mixing rules of Trebble and Bishnoi [4,5]. The binary interaction parameters for the non-ionic components can be obtained from sources such as Trebble and Bishnoi [4,5] or, if these values are not available in the literature, they can be determined from VLE.…”

Section: Non-electrolyte Contributionmentioning

confidence: 99%

“…The Trebble-Bishnoi equation of state [4,5], which is a four-parameter cubic EOS, is used in this work to describe the non-electrolyte contribution to the EOS because it is particularly well suited to aqueous systems. From the Trebble-Bishnoi equation of state, the change in the Helmholtz free energy is…”

Section: Non-electrolyte Contributionmentioning

confidence: 99%

“…The Helmholtz free energy is a fundamental thermodynamic property and from it, all other thermodynamic properties can be derived. In the limit as the electrolyte concentration goes to zero, the equation of state reduces to the Trebble-Bishnoi [4,5] equation of state.…”

Section: Introductionmentioning

confidence: 97%

See 3 more Smart Citations

Development of a new equation of state for mixed salt and mixed solvent systems, and application to vapour–liquid and solid (hydrate)–vapour–liquid equilibrium calculations

Clarke

Bishnoi

2004

Fluid Phase Equilibria

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Section: Non-electrolyte Contributionmentioning

confidence: 99%

Section: Non-electrolyte Contributionmentioning

confidence: 99%

Section: Non-electrolyte Contributionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

See 2 more Smart Citations

Development of a new equation of state for mixed salt and mixed solvent systems, and application to vapour–liquid and solid (hydrate)–vapour–liquid equilibrium calculations

Clarke

Bishnoi

2004

Fluid Phase Equilibria

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“…Several electrolyte EOS, like e.g. the Fürst-Renon EOS [10,11], the electrolyte modification [8] of the Trebble-Bishnoi EOS [12,13], or the statistical associating fluid theory with variable range for electrolytes (SAFT-VRE) EOS [14] have been developed. Besides, numerous semi-empirical excess Gibbs energy models have been proposed [15], as e.g.…”

Section: Introductionformelabschnittmentioning

confidence: 99%

Modelling of gas clathrate hydrate equilibria using the electrolyte non-random two-liquid (eNRTL) model

Kwaterski

Herri²

2014

Fluid Phase Equilibria

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Calculations on solid (S)-liquid ( w L )-gas (G)-phase equilibria of selected ternary {water + salt + gas} and quaternary {water + salt 1 + salt 2 + gas} systems (salt = NaCl, KCl, CaCl 2 ; gas = CH 4 , CO 2 ) comprising a gas clathrate hydrate phase (S ≡ H) have been performed. The thermodynamic description of the liquid phase non-idealities observed in these systems has been provided by means of the semi-empirical electrolyte NRTL (eNRTL) excess Gibbs energy model. Multicomponent expressions for individual as well as mean ionic activity coefficients as defined by both, a previous and the most recent version of the eNRTL model, have been implemented in a computer programme written in the Java programming language. Basic model parameters are provided by means of a data bank set up in the xml file format. The correctness of the programme implementation of the eNRTL expressions has been verified by comparing the results of selected example calculations with corresponding results given in the original literature sources. The programme code of the model implementation has been incorporated into a previously developed in-house programme enabling to perform equilibrium calculations on non-electrolyte aqueous systems involving gas hydrate phases. In the H-L w -G calculations, fugacities in the gas phase were calculated by means of the SoaveRedlich-Kwong (SRK) equation of state (EOS), whereas a Henry's law approach in combination with the eNRTL model has been applied to characterise the liquid phase. The van der Waals and Platteeuw model has been used to describe the gas clathrate hydrate phase. A satisfying predictive description of the experimental p-T-H-L w -G phase equilibrium data is achieved with average absolute relative deviations (AARD) between experimental and calculated pressures ranging from 1 % to 15 %.

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Equations of state for the calculation of fluid‐phase equilibria

2000

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Progress in de®eloping equations of state for the calculation of fluid-phase equilibria is re®iewed. There are many alternati®e equations of state capable of calculating the phase equilibria of a di®erse range of fluids. A wide range of equations of state from cubic equations for simple molecules to theoretically-based equations for molecular chains is considered. An o®er®iew is also gi®en of work on mixing rules that are used to apply equations of state to mixtures. Historically, the de®elopment of equations of state has been largely empirical. Howe®er, equations of state are being formulated increasingly with the benefit of greater theoretical insights. It is now quite common to use molecular simulation data to test the theoretical basis of equations of state. Many of these theoretically-based equations are capable of pro®iding reliable calculations, particularly for large molecules.

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Extension of the Trebble-Bishnoi equation of state to fluid mixtures

Cited by 102 publications

References 8 publications

Development of a new equation of state for mixed salt and mixed solvent systems, and application to vapour–liquid and solid (hydrate)–vapour–liquid equilibrium calculations

Development of a new equation of state for mixed salt and mixed solvent systems, and application to vapour–liquid and solid (hydrate)–vapour–liquid equilibrium calculations

Modelling of gas clathrate hydrate equilibria using the electrolyte non-random two-liquid (eNRTL) model

Equations of state for the calculation of fluid‐phase equilibria

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