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Generalized Brunauer–Emmett–Teller Isotherm for Mixed-Gas Multilayer Adsorption Equilibria

Journal Article · · Industrial and Engineering Chemistry Research
Here, this work presents a rigorous thermodynamic framework to calculate mixed-gas multilayer adsorption equilibria from single-component isotherms and vapor–liquid equilibria. Named the generalized Brunauer–Emmett–Teller (gBET) isotherm, the newly formulated isotherm considers adsorbent surface heterogeneity, competitive adsorption on the monolayer, condensation–evaporation on the subsequent layers, and adsorbed phase nonideality for the monolayer and the subsequent layers. The monolayer adsorbed phase nonideality is tracked by using an area-based adsorption nonrandom two-liquid activity coefficient model. The adsorbed phase composition and corresponding nonideality in the subsequent layers are calculated at the dew point condition of the mixed gas with either an equation of state or an activity coefficient model for the vapor–liquid equilibria. The proposed model is validated with six single and three binary multilayer adsorption equilibrium systems, and the model results are compared against those from the classical BET isotherm for single-component adsorption and ideal adsorbed solution theory for mixed-gas adsorption equilibria.
Research Organization:
American Institute of Chemical Engineers (AIChE), New York, NY (United States)
Sponsoring Organization:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Office of Sustainable Transportation. Bioenergy Technologies Office (BETO)
Grant/Contract Number:
EE0009768
OSTI ID:
3027621
Alternate ID(s):
OSTI ID: 2577338
Journal Information:
Industrial and Engineering Chemistry Research, Journal Name: Industrial and Engineering Chemistry Research Journal Issue: 31 Vol. 63; ISSN 1520-5045; ISSN 0888-5885
Publisher:
American Chemical Society (ACS)Copyright Statement
Country of Publication:
United States
Language:
English

References (41)

How Reproducible are Surface Areas Calculated from the BET Equation? journal May 2022
Prediction of mixed‐gas adsorption equilibria from pure component adsorption isotherms journal May 2020
From Langmuir isotherm to Brunauer–Emmett–Teller isotherm journal November 2021
Generalization of thermodynamic Langmuir isotherm for mixed‐gas adsorption equilibria journal March 2022
Thermodynamics of mixed-gas adsorption journal January 1965
Local compositions in thermodynamic excess functions for liquid mixtures journal January 1968
Thermodynamic properties of adsorbed mixtures of benzene and cyclohexane on graphitized carbon and activated charcoal at 30°C journal January 1982
Rigorous thermodynamic treatment of gas adsorption journal November 1988
Local composition activity coefficient model for mixed-gas adsorption equilibria journal June 2019
An activity-based formulation for Langmuir adsorption isotherm journal November 2019
Isosteric heat of adsorption from thermodynamic Langmuir isotherm journal January 2021
Estimation of isosteric heat of adsorption from generalized Langmuir isotherm journal January 2023
Addressing spreading pressure dependence of real adsorbed solution theory with generalized Langmuir isotherm journal October 2023
Surface potential theory of multilayer adsorption from gas mixtures journal February 1973
Cross-sectional areas of molecules adsorbed on solid surfaces journal April 1967
Total vapour pressure measurements and excess Gibbs energies for the binary systems methanol + ethanol, ethanol + 2-propanol, benzene + cyclohexane, benzene + carbon tetrachloride and benzene + ethanol at 303.15 and 313.15 K journal January 1990
Adsorption equilibria of hydrocarbons on highly dealuminated zeolites journal March 1986
Thermodynamic modeling of adsorption at the liquid-solid interface journal January 2023
Adsorption of rare earth metals: A review of recent literature journal September 2016
Modified GAB model for correlating multilayer adsorption equilibrium data journal March 2016
Performance characterization of nanofiltration, reverse osmosis, and ion exchange technologies for acetic acid separation journal June 2021
Thermodynamic modeling of CO2 solubility in aqueous solutions of NaCl and Na2SO4 journal December 2010
A Collection of More than 900 Gas Mixture Adsorption Experiments in Porous Materials from Literature Meta-Analysis journal December 2020
Comparison of Heterogeneous Langmuirian Models for Mixed-Gas Adsorption Equilibria journal May 2023
On the Thermodynamic Condition for Adsorption Azeotropes journal November 2023
A New Two-Constant Equation of State journal February 1976
Application of the Perturbed-Chain SAFT Equation of State to Associating Systems journal October 2002
Basic Research Needs for Design of Adsorptive Gas Separation Processes journal August 2006
Adsorption of Gas Mixtures. Nitrogen-Oxygen on Anatase journal January 1949
Modifications of the Brunauer, Emmett and Teller Equation 1 journal April 1946
Adsorption of Gases in Multimolecular Layers journal February 1938
The Adsorption of Gases on Plane Surfaces of Glass, mica and Platinum. journal September 1918
Binary Adsorption Equilibrium of Carbon Dioxide and Water Vapor on Activated Alumina journal September 2009
Some excess thermodynamic functions for the liquid systems argon + oxygen, argon + nitrogen, nitrogen + oxygen, nitrogen + carbon monoxide, and argon + carbon monoxide journal January 1962
The Estimation of Parameters in Nonlinear, Implicit Models journal May 1973
The Isothermal Distillation of Nitrogen and Oxygen and of Argon and Oxygen journal January 1906
A scalable metal-organic framework as a durable physisorbent for carbon dioxide capture journal December 2021
Gas Separation by Adsorption Processes book June 1997
Extension of the Brunauer–Emmett–Teller Equation to Mixtures journal January 2015
Physisorption of gases, with special reference to the evaluation of surface area and pore size distribution (IUPAC Technical Report) journal October 2015
Direct Air Capture Case Studies: Sorbent System report July 2022


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