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Related Concept Videos

Adsorption Isotherms I01:29

Adsorption Isotherms I

Adsorption isotherms are mathematical models that describe how molecules in a gas or liquid phase interact with surfaces. Two of the most common isotherm models are the Langmuir and Freundlich isotherms, which relate to Type I monolayer chemisorption. The Langmuir model is based on four key assumptions:• Adsorption cannot exceed monolayer coverage.• All surface sites are equivalent.• Molecules adsorb only at vacant sites.• There are no interactions between adsorbed molecules.Consider the...
Adsorption Isotherms II01:25

Adsorption Isotherms II

Brunauer, Emmett, and Teller (BET) introduced a theory in 1938 that modified Langmuir's assumptions to explain multilayer physical adsorption. This theory is applicable to Type II isotherms and provides a more realistic picture of adsorption processes. The BET theory assumes a uniform solid surface with localized adsorption sites, where adsorption at one site doesn't affect adsorption at neighboring sites. This theory also allows for the possibility of additional molecules being adsorbed on top...
Adsorption of Gases on Solids01:28

Adsorption of Gases on Solids

Adsorption is a process where molecules, known as the adsorbates, accumulate on a surface, which is referred to as the adsorbent or substrate. Occurring at the solid-gas interface, this phenomenon is crucial in various scientific and industrial contexts. The reverse of adsorption is desorption.Two types of adsorptions exist: physical (physisorption) and chemical (chemisorption). Physisorption involves gas molecules held to the solid's surface by relatively weak intermolecular van der Waals...
Clausius-Clapeyron Equation02:35

Clausius-Clapeyron Equation

The equilibrium between a liquid and its vapor depends on the temperature of the system; a rise in temperature causes a corresponding rise in the vapor pressure of its liquid. The Clausius-Clapeyron equation gives the quantitative relation between a substance’s vapor pressure (P) and its temperature (T); it predicts the rate at which vapor pressure increases per unit increase in temperature.
Chemical Equilibria: Systematic Approach to Equilibrium Calculations01:21

Chemical Equilibria: Systematic Approach to Equilibrium Calculations

Equilibrium calculations for systems involving multiple equilibria are often complex. For example, to calculate the solubility of a sparingly soluble salt in an aqueous solution in the presence of a common ion, one must consider all the equilibria in this solution. Calculations for these systems can be complicated and tedious, so a systematic approach with a series of steps is often helpful. The process is detailed below.
The first step is to identify all the chemical reactions involved, The...
Second Law of Thermodynamics02:49

Second Law of Thermodynamics

In the quest to identify a property that may reliably predict the spontaneity of a process, a promising candidate has been identified: entropy. Processes that involve an increase in entropy of the system (ΔS > 0) are very often spontaneous; however, examples to the contrary are plentiful. By expanding consideration of entropy changes to include the surroundings, a significant conclusion regarding the relation between this property and spontaneity may be reached. In thermodynamic models, the...

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Related Experiment Video

Updated: Jun 15, 2026

Two-way Valorization of Blast Furnace Slag: Synthesis of Precipitated Calcium Carbonate and Zeolitic Heavy Metal Adsorbent
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A thermodynamically consistent explicit competitive adsorption isotherm model based on second-order single component

Milica Ilić1, Dietrich Flockerzi, Andreas Seidel-Morgenstern

  • 1Max Planck Institute for Dynamics of Complex Technical Systems, Sandtorstrasse 1, D-39106 Magdeburg, Germany.

Journal of Chromatography. A
|March 4, 2010
PubMed
Summary
This summary is machine-generated.

A new competitive adsorption model simplifies binary mixture analysis using ideal adsorbed solution theory. This flexible tool enables efficient simulations of fixed-bed adsorber dynamics.

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Area of Science:

  • Chemical Engineering
  • Physical Chemistry
  • Materials Science

Background:

  • Adsorption processes are crucial in chemical engineering and environmental remediation.
  • Accurate modeling of competitive adsorption in binary mixtures is essential for process design.
  • Existing models often require complex iterative calculations, limiting simulation efficiency.

Purpose of the Study:

  • To derive an explicit and thermodynamically consistent competitive adsorption isotherm model for binary mixtures.
  • To overcome the limitations of the Ideal Adsorbed Solution (IAS) theory in generating explicit expressions for equilibrium loadings.
  • To provide a flexible tool for efficient simulations of adsorption processes.

Main Methods:

  • Derivation of a competitive adsorption isotherm model based on second-order truncations of higher-order equilibrium models.
  • Utilizing the Ideal Adsorbed Solution (IAS) theory for competitive isotherm determination.
  • Analysis of the roots of a cubic polynomial resulting from the IAS equations to obtain explicit expressions.
  • Thermodynamic consistency checks and validation for wide applicability.

Main Results:

  • An explicit competitive adsorption isotherm model for binary mixtures was successfully derived.
  • The model avoids time-consuming iterations typically required by IAS theory for complex isotherms.
  • The derived model provides accurate equilibrium loading predictions.
  • Demonstrated thermodynamic consistency and broad applicability.

Conclusions:

  • The developed explicit competitive adsorption model offers a significant advancement for simulating adsorption processes.
  • It provides a flexible and efficient tool for researchers and engineers in adsorption-based separation and purification.
  • The model's thermodynamic consistency ensures reliable predictions across various conditions.