Related Experiment Video
Updated: Oct 7, 2025

Two-way Valorization of Blast Furnace Slag: Synthesis of Precipitated Calcium Carbonate and Zeolitic Heavy Metal Adsorbent
Published on: February 21, 2017
Analysis of commonly used batch adsorption kinetic models derived from mass transfer-based modelling
Vânia Queiroz1, Daniel Souza de Almeida1, Gabriel Henrique de Oliveira Miglioranza1
1Departamento de Engenharia Química, Escola de Engenharia, Universidade Federal Do Rio Grande Do Sul, Rua Ramiro Barcelos, 2777 - Prédio 22202, Porto Alegre, RS, 90035-007, Brazil.
Simplified batch adsorption models often fail due to incorrect assumptions about bulk phase concentration and isotherms. Phenomenological models, though complex, offer more accurate kinetic data analysis for liquid-solid adsorption processes.
Area of Science:
- Chemical Engineering
- Environmental Science
- Physical Chemistry
Background:
- Batch adsorption is crucial for separation processes, often modeled using mass transfer and conservation equations.
- Analytical solutions for these models are not always available, leading to the use of simplified models.
- Simplified models are frequently applied without critically assessing their underlying assumptions, potentially compromising kinetic data analysis.
Purpose of the Study:
- To present a detailed development of phenomenological models for liquid-solid batch adsorption.
- To clearly state the hypotheses considered in the development of these models.
- To critically assess the conditions under which typical simplified models are derived and their limitations.
Main Methods:
- Development of phenomenological models based on mass transfer and conservation equations.
- Derivation of simplified models from phenomenological ones.
- Critical assessment of the assumptions made during model simplification, particularly constant bulk phase concentration and linear adsorption isotherms.
Main Results:
- Simplified models often fail because they assume constant bulk phase concentration over time or a linear adsorption isotherm.
- These assumptions are frequently violated in real experimental conditions.
- Phenomenological models, even when requiring numerical solutions, provide a closer agreement with experimental conditions.
Conclusions:
- The use of simplified models in batch adsorption kinetic analysis can lead to severe compromises in data interpretation.
- Phenomenological models should be preferred for accurate kinetic data analysis, despite requiring numerical solutions.
- Adherence to model premises and experimental conditions is essential for ensuring the quality of adsorption studies.
Related Concept Videos
Pharmacokinetic Models: Comparison and Selection Criterion
Physiological models take a detailed approach by considering specific molecular processes. They can predict drug distribution, metabolism, and elimination changes, providing a comprehensive understanding of how drugs interact with the body.
Pharmacokinetic Models: Overview
There are three primary types of models: empirical, compartment, and physiological. Empirical models, with minimal...
Analysis Methods of Pharmacokinetic Data: Model and Model-Independent Approaches
The model approach uses mathematical models to describe changes in drug concentration over time. Pharmacokinetic models help characterize drug behavior in patients, predict drug concentration in the body fluids, calculate optimum dosage regimens, and evaluate the risk of toxicity. However, ensuring that the model fits the experimental data accurately...
Mechanistic Models: Overview of Compartment Models
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation
On...
Model Approaches for Pharmacokinetic Data: Distributed Parameter Models
The distributed parameter models are specifically designed to account for variations and differences in some drug classes. This model is particularly useful for assessing regional concentrations of anticancer or...

