A Method for Deriving Explicit Binary Isotherms Obeying the Ideal Adsorbed Solution Theory

Tarafder, Abhijit; Mazzotti, Marco

doi:10.1002/ceat.201100274

Cited by 37 publications

(22 citation statements)

References 12 publications

(31 reference statements)

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“…(10), (11), (13) or (15), (16) can be solved to calculate the adsorbed phase concentration of all sample components and the modifier provided that the single component dependencies (in a weak solvent) q Ã i ¼ f a L i À Á and q Ã mod ¼ f a L mod À Á are known as well as the activity of components in the liquid phase [28]. If adsorption of weak solvent is much weaker compared to the modifier, the second term of Eq.…”

Section: Prediction By the Ast Modelmentioning

confidence: 99%

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Thermodynamics of Multicomponent Liquid Chromatography

Antos

Pia̧tkowski

2016

Chemie Ingenieur Technik

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Thermodynamic models of multicomponent adsorption in liquid chromatography are summarized and reviewed. A general description of adsorption equilibrium is presented, which is followed by simplified approaches that can be adopted for practical applications. Synergistic and competitive adsorption effects accompanying chromatographic elution are illustrated and methods of their predictions are indicated. The influence of a mobile phase modifier on the retention behavior of chromatographed species is discussed. A manner of mathematical predictions of competitive adsorption of modifiers and solutes is presented. Also in this case the analysis starts with a thermodynamically grounded general description and ends with simplified models suitable for practical purposes of design and optimization of chromatographic separations.

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Section: Prediction By the Ast Modelmentioning

confidence: 99%

“…Then, the set of Eqs. (10), (11), (13) or (15), (16) can be solved to calculate the adsorbed phase concentration of all sample components and the modifier provided that the single component dependencies (in a weak solvent)…”

Section: Prediction By the Ast Modelmentioning

confidence: 99%

Thermodynamics of Multicomponent Liquid Chromatography

Antos

Pia̧tkowski

2016

Chemie Ingenieur Technik

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“…Along the same line of thought, Tarafder and Mazzotti have recently presented a method to obtain explicit (i.e., analytical) isotherms for binary systems using IAST when the single component adsorption isotherms are of the following types: Langmuir, anti‐Langmuir, Brunauer‐Emmett‐Teller, and quadratic.…”

Section: Ideal Adsorbed Solution Theory Equationsmentioning

confidence: 99%

A method for efficiently solving the IAST equations with an application to adsorber dynamics

2012

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The Ideal Adsorbed Solution Theory (IAST) developed by Myers and Prausnitz and Radke and Prausnitz provides a powerful tool to calculate multicomponent adsorption equilibria based on single component adsorption isotherms. An important aspect of the application of IAST is that it requires the solution of an implicit algebraic system of equations. Analytical solutions can be derived only for few simple single component isotherm models. This work offers a new concept to solve the equations of the IAST for mixtures of N components characterized by nondecreasing single component adsorption isotherm behavior. The approach is based on transforming the algebraic system of IAST equations to a system of ODEs with one specified initial value. This work also provides analytical expressions for the partial derivatives of the predicted adsorption equilibria and increases the efficiency of numerical calculations for fixed-bed adsorber dynamics. The strength of the solution method is illustrated in case studies. Figure 3. Trajectories for the 10 component case of Example 3.(a): Solution orbit. and (b): inset of (a) for the low-pressure region.

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“…Equilibrium parameters for single and multicomponent adsorption are easily determined [1][2][3][4]. To design adsorption equipment, equilibrium and kinetic parameters must be determined.…”

Section: Introductionmentioning

confidence: 99%

A Simple Determination Method of Adsorption Kinetics from a Liquid Phase Fixed‐Bed Breakthrough Curve

et al. 2013

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The mass transfer zone (MTZ) method using the linear driving force (LDF) approximation is the most common and frequently used technique for the analysis of adsorption kinetics from a fixed-bed breakthrough curve and for adsorptive process design. However, the adsorption kinetics obtained by the MTZ method includes approximations and estimation errors. This report describes a new analytical method for determining the intraparticle diffusivity (D S ) and the fluid-film mass transfer coefficient (k F ) from an experimental breakthrough curve without using the LDF approximation and empirical correlations for estimating k F . The proposed method has the advantage of less trial and error on the curve-fitting process and helps better determine D S and k F . The estimation procedure of the Biot number that represents the ratio of D S to k F is the key of this method. The values of D S and k F for the adsorption of phenols onto activated carbon were determined from experimental breakthrough curves using the new analytical method. The results indicate that the method presented in this study yields reliable values.

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A Method for Deriving Explicit Binary Isotherms Obeying the Ideal Adsorbed Solution Theory

Cited by 37 publications

References 12 publications

Thermodynamics of Multicomponent Liquid Chromatography

Thermodynamics of Multicomponent Liquid Chromatography

A method for efficiently solving the IAST equations with an application to adsorber dynamics

A Simple Determination Method of Adsorption Kinetics from a Liquid Phase Fixed‐Bed Breakthrough Curve

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