The effective influence of adsorbate-adsorbate associations on the two-dimensional condensation of a mobile adsorption monolayer on a homogeneous solid adsorbent surface

• Autorzy: Garbacz Jerzy K. , Kopkowska Ewa , Kozakiewicz Mariusz , Siermontowski Piotr

Identyfikatory

DOI

10.2478/phr-2024-0003

• Języki publikacji: EN

Abstrakty

EN

The study employed the formalism of the canonical ensemble to analyze adsorption equilibrium, assuming that linear association of molecules is the only type of attractive interaction in the mobile monolayer on a homogeneous solid adsorbent surface. The partition function of the canonical ensemble was related to the free energy and the chemical potential of the adsorbate. The initial model did not show the possibility of two-dimensional condensation of the adsorbate, confirming the analogy to the one-dimensional Ising model. The generalization of the model, assuming a branched form of adsorbate-adsorbate associates, leads to a new adsorption equation that takes into account the number of centers favorable for association. The introduction of the concept of multidimensional association enabled the derivation of an adsorption equation, which was analyzed with respect to the critical point of the adsorption layer condensation. This analysis showed that condensation is possible if the number of such centers is greater than two. The critical values of the association constant and the degree of surface coverage are functions of the number of association centers. These results demonstrate that the formalism of the canonical ensemble is effective for describing adsorption equilibrium with linear association of molecules, and that generalizing the model to include branched associates leads to a new adsorption equation predicting two-dimensional condensation of the adsorbate under certain conditions. The described model introduces new solutions in the use of sorbents in diving apparatus with a closed circuit and thus increasing their efficiency in military applications.

Słowa kluczowe

EN

adsorption; monolayer; association; condensation; isotherm

• Wydawca: Polskie Towarzystwo Medycyny i Techniki Hiperbarycznej
• Czasopismo: Polish Hyperbaric Research
• Rocznik: 2024
• Tom: nr 1(86)
• Strony: 33--44
• Opis fizyczny: Bibliogr. 7 poz., tab., wykr.

Twórcy

autor

Garbacz Jerzy K.

• Cuiavian University in Włocławek, Poland

autor

Kopkowska Ewa

• Ludwik Rydygier Collegium Medicum in Bydgoszcz, Nicolaus Copernicus University in Toruń, Poland

autor

Kozakiewicz Mariusz

• Ludwik Rydygier Collegium Medicum in Bydgoszcz, Nicolaus Copernicus University in Toruń, Poland
• Mazovian University in Płock, Poland

autor

Siermontowski Piotr

• Polish Naval Academy of the Heroes of Westerplatte in Gdyna, Poland

Bibliografia

• 1. Garbacz J.K., Kozakiewicz M.: The equivalence of quasi-chemical and statistical description of adsorbate molecule association in a localised adsorption monolayer on a homogeneous solid;
• 2. Surface, PHR 4(65)2018;
• 3. Garbacz, J.K., About Adsorbate-Adsorbate Association on Homogeneous Adsorbent Surfaces. Journal of Colloid and Interface Science, 1975. 51(2): p. 352-353;
• 4. Fowler, R. and E.A. Guggenheim, Statistical Thermodynamics. 1939: Cambridge University Press;
• 5. Berezin, G.I. and A.V. Kiselev, Adsorbate-Adsorbate Association on a Homogenous Surface of a Nonspecific Adsorbent .1. Journal of Colloid and Interface Science, 1972. 38(1): p. 227;
• 6. Huang, K., Statistical mechanics. 1963, New York: Wiley;
• 7. Stecki J., Termodynamika statystyczna. 1971, Warszawa: PWN.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).