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Related Concept Videos

Adsorption Isotherms I01:29

Adsorption Isotherms I

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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...
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Adsorption Isotherms II01:25

Adsorption Isotherms II

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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...
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Adsorption of Gases on Solids01:28

Adsorption of Gases on Solids

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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...
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Analyte Adsorption and Distribution01:09

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In certain chromatographic separations, solutes transfer between the mobile phase and the stationary phase via sorption, which typically refers to the process of adsorption. For many chromatographic systems, the sorption process often depends on the polarity of the compounds—an expression of the overall dipole moment within the molecule. During the separation process, there is competition between the solute and solvent for adsorption to the stationary phase. Highly polar compounds and...
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One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation01:24

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This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
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Rate-Determining Steps03:08

Rate-Determining Steps

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Relating Reaction Mechanisms
In a multistep reaction mechanism, one of the elementary steps progresses significantly slower than the others. This slowest step is called the rate-limiting step (or rate-determining step). A reaction cannot proceed faster than its slowest step, and hence, the rate-determining step limits the overall reaction rate.
The concept of rate-determining step can be understood from the analogy of a 4-lane freeway with a short-stretch of traffic-bottleneck caused due to...
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Prediction of Large-Scale Adsorption Process Parameters Using Two-Mechanism Langmuir Constants.

Zaid Assaf1,2, Dale Eric Wurster3

  • 1University of Iowa, College of Pharmacy, Iowa City, Iowa, 52240, USA.

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|March 11, 2026
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Summary

A new equation predicts final concentrations for large-scale adsorption processes, considering initial conditions and adsorbent properties. This tool aids in optimizing adsorption by relating starting and ending concentrations effectively.

Keywords:
Langmuir adsorption predictionactivated carbonadsorption from solutionadsorption mass balancepharmaceutical purificationscale up

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Area of Science:

  • Environmental Chemistry
  • Physical Chemistry
  • Chemical Engineering

Background:

  • Traditional adsorption isotherm equations (e.g., Langmuir-Like) offer fundamental insights but lack practical utility for large-scale applications.
  • Predicting final concentrations based on initial conditions is crucial for optimizing adsorption processes in industrial settings.

Purpose of the Study:

  • To derive a novel adsorption equation for predicting achievable final concentrations from any user-defined starting concentration, adsorbent loading, or solution volume.
  • To develop a versatile and user-friendly tool for optimizing large-scale adsorption processes.

Main Methods:

  • Derivation of a new adsorption equation accounting for site-specific and hydrophobic bonding.
  • Application of the equation to predict adsorption of various compounds (barbituric acid, fluoxetine, phenobarbital, procaine) onto activated carbons.
  • Experimental validation under diverse conditions (pH, temperature, buffers, cosolvents).

Main Results:

  • The derived equation successfully predicts final concentrations, offering versatile plots usable in spreadsheets.
  • Demonstrated practical insights, e.g., a 20% increase in carbon mass yields only a 5% decrease in final phenobarbital concentration at 0.8 mg/mL.
  • Identified optimal adsorbent loading ratios for specific initial concentrations, like >0.75 mg adsorbent/mL solution for 0.2 mg/mL initial phenobarbital.

Conclusions:

  • The novel equation provides a practical, assumption-free method for predicting adsorption outcomes in large-scale processes.
  • The equation is versatile and applicable to systems with varying bonding characteristics (site-specific and hydrophobic).
  • This predictive tool enhances the optimization and efficiency of adsorption-based separation and purification technologies.