Theoretical modelling for calculation of the energy densities of adsorption sites using inverse gas chromatography A

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(1)Author's personal copy Journal of Mathematical Chemistry https://doi.org/10.1007/s10910-018-0968-4 ORIGINAL PAPER. Theoretical modelling for calculation of the energy densities of adsorption sites using inverse gas chromatography A. Bouhank1,2 · L. Bencheikh1 Received: 10 May 2018 / Accepted: 22 October 2018 © Springer Nature Switzerland AG 2018. Abstract The inverse gas chromatography is used to determine the energy densities of the adsorption sites of the stationary solid phase. The use of this technique is old and dates back to the 1940s. The many possibilities offered by this method are described in several works. This work is an attempt to explore some adsorption local isotherm models in order to determine the energy density of the adsorption sites. It involves the use of integral equations of the first kind which are known to be numerically instable. These integral equations were solved by two different methods of solution. One is based on the use of Taylor series expansions and the other uses the Stieltjes transform. Some interesting theoretical and numerical results are presented. Keywords Adsorption · Integral equations · Adsorption isotherms · Energy. List of symbols V (P, T ). Experimentally measured adsorption amount under the equilibrium pressure P and at the absolute temperature T K Langmuir constant R Universal gas constant θ (2, p, T ) Coverage of adsorption sites having adsorption energy 2 Minimum and maximum values of the adsorption energy of the system 2 ,2m y, Y Dimensionless pressure x, X Dimensionless energy. B. L. Bencheikh [email protected]. 1. Laboratory of Chemical Process Engineering (LCPE), Faculty of Technology, Ferhat ABBAS Setif-1 University, 19000 Sétif, Algeria. 2. Research Center, Industrial Technologies CRTI, P.O. Box 64, 16014 Cheraga, Algiers, Algeria. 123.

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