Related Experiment Video
Updated: Nov 15, 2025

Two-way Valorization of Blast Furnace Slag: Synthesis of Precipitated Calcium Carbonate and Zeolitic Heavy Metal Adsorbent
Published on: February 21, 2017
A Revised Pseudo-Second-Order Kinetic Model for Adsorption, Sensitive to Changes in Adsorbate and Adsorbent
Jay C Bullen1, Sarawud Saleesongsom1, Kerry Gallagher2
1Department of Earth Science and Engineering, Imperial College London, London SW7 2AZ, United Kingdom.
A new revised pseudo-second-order (rPSO) model accurately predicts contaminant removal by adsorbents, improving upon the standard PSO model. This advancement aids in developing effective water purification strategies and comparing research findings across studies.
Area of Science:
- Environmental Science
- Water Treatment Technologies
- Adsorption Science
Background:
- Adsorbent materials are critical for removing toxic contaminants from drinking water, aligning with UN Sustainable Development Goal 6.
- The pseudo-second-order (PSO) model is commonly used for adsorption kinetics but has limitations in predicting performance under varying conditions.
- The PSO model's rate constant is sensitive to experimental conditions, hindering reliable comparisons of literature data.
Purpose of the Study:
- To develop a modified pseudo-second-order (PSO) adsorption kinetics model that accounts for initial adsorbate and adsorbent concentrations.
- To create a more robust model for predicting adsorbent performance and facilitating comparisons across diverse studies.
Main Methods:
- Analysis of 103 kinetic experiments from 47 literature sources.
- Development of a revised pseudo-second-order (rPSO) rate equation.
- Validation of the rPSO model by comparing its performance against the standard PSO model using residual sum of squares.
Main Results:
- The revised PSO (rPSO) model demonstrates first-order and zero-order dependencies on initial adsorbate (C0) and adsorbent (Cs) concentrations, respectively.
- The rPSO model reduced the residual sum of squares by 66% compared to the standard PSO model when fitting data from experiments with varying initial conditions.
- The rPSO rate constant (k') offers a more appropriate metric for comparing adsorption kinetics across different studies and materials.
Conclusions:
- The developed rPSO model provides a more accurate and condition-independent method for characterizing adsorption kinetics.
- The rPSO model's rate constant (k') is suitable for comparing adsorption performance, as seen in the faster kinetics of arsenic adsorption onto alumina versus iron oxides.
- The rPSO model offers improved applicability for engineering design and literature data interpretation in water treatment.
Related Concept Videos
Multi-Step Reactions
The Integrated Rate Law: The Dependence of Concentration on Time
One-Compartment Open Model for Extravascular Administration: First-Order Absorption Model
Introduction to Enzyme Kinetics
The experimenter can then plot the initial reaction rate or velocity (Vo) of a given trial against the substrate concentration ([S]) to obtain a graph of the reaction properties. For many enzymatic reactions involving a...
Quantitative Aspects of Drug-Receptor Interaction
Fundamental Mathematical Principles in Pharmacokinetics: Rate and Order of Reaction
Pharmacokinetic reactions...

