• International Journal of Technology (IJTech)
  • Vol 7, No 2 (2016)

An Adsorption Equilibria Model for Steady State Analysis

An Adsorption Equilibria Model for Steady State Analysis

Title: An Adsorption Equilibria Model for Steady State Analysis
Azhar Bin Ismail, Karan M. Sabnani, Li Ang, Kim Choon Ng

Corresponding email:


Published at : 29 Feb 2016
Volume : IJtech Vol 7, No 2 (2016)
DOI : https://doi.org/10.14716/ijtech.v7i2.2970

Cite this article as:

Ismail, A.B., Sabnani, K.M., Li, A., Ng, K.C., 2016. An Adsorption Equilibria Model for Steady State Analysis. International Journal of Technology. Volume 7(2), pp.274-280



658
Downloads
Azhar Bin Ismail Water Desalination and Reuse Center, 4700 King Abdullah University of Science and Technology, Thuwal 23955 6900, Kingdom of Saudi Arabia
Karan M. Sabnani Water Desalination and Reuse Center, 4700 King Abdullah University of Science and Technology, Thuwal 23955 6900, Kingdom of Saudi Arabia
Li Ang Department of Mechanical Engineering, Faculty of Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore 117576
Kim Choon Ng Water Desalination and Reuse Center, 4700 King Abdullah University of Science and Technology, Thuwal 23955 6900, Kingdom of Saudi Arabia
Email to Corresponding Author

Abstract
An Adsorption Equilibria Model for Steady State Analysis

The investigation of adsorption isotherms is a prime factor in the ongoing development of adsorption cycles for a spectrum of advanced, thermally-driven engineering applications, including refrigeration, natural gas storage, and desalination processes. In this work, a novel semi-empirical mathematical model has been derived that significantly enhances the prediction of the steady state uptake in adsorbent surfaces. This model, a combination of classical Langmuir and a novel modern adsorption isotherm equation, allows for a higher degree of regression of both energetically homogenous and heterogeneous adsorbent surfaces compared to several isolated classical and modern isotherm models, and has the ability to regress isotherms for all six types under the IUPAC classification. Using a unified thermodynamic framework, a single asymmetrical energy distribution function (EDF) has also been proposed that directly relates the mathematical model to the adsorption isotherm types. This fits well with the statistical rate theory approach and offers mechanistic insights into adsorption isotherms.

Adsorption, Energy distribution function, Statistical rate theory, Universal isotherm model

References

Bansal, R., Dhami, T., 1978. Surface Characteristics and Surface Behaviour of Polymer Carbons—II: Adsorption of Water Vapor. Carbon, Volume 16(5), pp. 389-395

Elliott, J.A.W., Ward, C.A., 1997. Statistical Rate Theory and the Material Properties Controlling Adsorption Kinetics on Well-defined Surfaces. Studies in Surface Science and Catalysis, Volume 104, pp. 285-333

Elliott, J.A.W., Ward, C.A., 1997. Statistical Rate Theory Description of Beam-dosing Adsorption Kinetics. The Journal of Chemical Physics, Volume 106(13), pp. 5667-5676

Elliott, J.A.W., Ward, C.A., 1997. Temperature Programmed Desorption: A Statistical Rate Theory Approach. The Journal of Chemical Physics, Volume 106(13), pp. 5677-5684

Gardner, L., Kruk, M., Jaroniec, M., 2001. Reference Data for Argon Adsorption on Graphitized and Non-graphitized Carbon Blacks. The Journal of Physical Chemistry B, Volume 105(50), pp. 12516-12523

Ismail, A.B., Li, A., Thu, K., Ng, K.C., Chun, W., 2013. On the Thermodynamics of Refrigerant+ Heterogeneous Solid Surfaces Adsorption. Langmuir, Volume 29(47), pp. 14494-14502

Jaroniec, M., 1983. Physical Adsorption on Heterogeneous Solids. Advances in Colloid and Interface Science, Volume 18(3), pp. 149-225

Lavoyer, F.C.G., Gabas, A.L., Oliveira, W.P., Telis-Romero, J., 2013. Study of Adsorption Isotherms of Green Coconut Pulp. Food Science and Technology (Campinas), Volume 33(1), pp. 68-74

Rudzinski, W., Borowiecki, T., Dominko, A., Panczyk, T., 1999. A New Quantitative Interpretation of Temperature-programmed Desorption Spectra from Heterogeneous Solid Surfaces, based on Statistical Rate Theory of Interfacial Transport: The Effects of Simultaneous Readsorption. Langmuir, Volume 15(19), pp. 6386-6394

Rudzinski, W., Borowiecki, T., Panczyk, T., Dominko, A., 2000. Theory of Thermodesorption from Energetically Heterogeneous Surfaces: Combined Effects of Surface Heterogeneity, Readsorption, and Interactions between the Adsorbed Molecules. Langmuir, Volume 16(21), pp. 8037-8049

Rudzinski, W., Lee, S.L., Panczyk, T., Yan, C.C.S., 2001. A Fractal Approach to Adsorption on Heterogeneous Solids Surfaces. 2. Thermodynamic Analysis of Experimental Adsorption Data. The Journal of Physical Chemistry B, Volume 105(44), pp. 10857-10866

Rudzinski, W., Panczyk, T., 2000. Kinetics of Isothermal Adsorption on Energetically Heterogeneous Solid Surfaces: A New Theoretical Description based on the Statistical Rate Theory of Interfacial Transport. The Journal of Physical Chemistry B, Volume 104(39), pp. 9149-9162

Wang, S.L., Johnston, C.T., Bish, D.L., White, J.L., Hem, S.L., 2003. Water-vapor Adsorption and Surface Area Measurement of Poorly Crystalline Boehmite. Journal of Colloid and Interface Science, Volume 260(1), pp. 26-35

Ward, C.A., Findlay, R.D., Rizk, M., 1982. Statistical Rate Theory of Interfacial Transport. I. Theoretical Development. The Journal of Chemical Physics, Volume 76(11), pp. 5599-5605

Wedler, G., Borgmann, D., 1971. Desorption Spectra in the Adsorption System Iron/Nitrogen. Angewandte Chemie International Edition in English, Volume 10(8), pp. 562-563