If we desire to save time and effort in the lab or on the computer, modeling the sorption water isotherm of food is a necessary. This perspective introduces a state-of-the-art model connected to actual gas to analyze and explain the water sorption isotherm on meat dates. Microscopic process description and interpretation are made possible by fitting the adsorption/desorption isotherms to the statistical model. Based on the parameters of the model, a steric interpretation was produced. The exothermic nature of the adsorption process may be inferred from an energy interpretation.

The statistical model was used to determine entropy, internal energy, and Gibbs free energy, the three thermodynamic potentials that  control the adsorption process. Porosity and adsorption energy distributions (PSD and AED, respectively) of flesh dates round out the investigation.

modeling, sorption isotherm, statistical physics, water activity.

Received: April 8, 2024; Accepted: May 14, 2024; Published: May 27, 2024

How to cite this article: Salah Knani, Amani Alruwaili, Nizar Lefi, Abdelmottaleb Ben Lamine, Waad Al-Blawi and Meshari Alanazi, Study of statistical physics on water sorption  of flesh date: steric and energetic interpretations, JP Journal of Biostatistics 24(2) (2024),  309-333. https://doi.org/10.17654/0973514324019

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

References:

[1] A. H. Al-Muhtaseb, W. A. M. McMinn and T. R. A. Magee, Moisture sorption isotherm characteristics of food products: a review, Food Bioprod. Process. 80 (2002), 118-128.
[2] S. Basu, U. S. Shivhare and A. S. Mujumdar, Models for sorption isotherms for foods: a review, Dry. Technol. 24 (2006), 917-930.
[3] A. H. Al-Muhtaseb, W. A. M. McMinn and T. R. A. Magee, Water sorption isotherms of starch powders: Part 1: Mathematical description of experimental data, J. Food Eng. 61 (2004), 297-307.
[4] J. Chirife and H. A. Iglesias, Equations for fitting water sorption isotherms of foods: Part 1—a review, Int. J. Food Sci. Technol. 13 (1978), 159-174.
[5] N. Arslan and H. The fitting of various models to water sorption isotherms of tea stored in a chamber under controlled temperature and humidity, J. Stored Prod. Res. 42 (2006), 112-135.
[6] J. Blahovec and S. Yanniotis, Modified classification of sorption isotherms, J. Food Eng. 91 (2009), 72-77.
[7] S. Yanniotis and J. Blahovec, Model analysis of sorption isotherms, LWT - Food Sci. Technol. 42 (2009), 1688-1695.
[8] P. C. Panchariya, D. Popovic and A. L. Sharma, Modeling of desorption isotherm of black tea, Dry. Technol. 19 (2001), 1177-1188.
[9] F. Kaymak-Ertekin and A. Gedik, Sorption isotherms and isosteric heat of sorption for grapes, apricots, apples and potatoes, LWT - Food Sci. Technol. 37 (2004), 429-438. https://doi.org/10.1016/J.LWT.2003.10.012.
[10] Z. B. Maroulis, E. Tsami, D. Marinos-Kouris and G. D. Saravacos, Application of the GAB model to the moisture sorption isotherms for dried fruits, J. Food Eng. 7 (1988), 63-78.
[11] M. A. Al-Farsi and C. Y. Lee, Optimization of phenolics and dietary fibre extraction from date seeds, Food Chem. 108 (2008), 977-985.
[12] I. A. Ahmed, A. W. K. Ahmed and R. K. Robinson, Chemical composition of date varieties as influenced by the stage of ripening, Food Chem. 54 (1995), 305-309.
[13] B. Nourhène, B. Neila, K. Mohammed and K. Nabil, Sorptions isotherms and isosteric heats of sorption of olive leaves (Chemlali variety): experimental and mathematical investigations, Food Bioprod. Process. 86 (2008), 167-175.
[14] T. P. Labuza, A. Kaanane and J. Y. Chen, Effect of temperature on the moisture sorption isotherms and water activity shift of two dehydrated foods, J. Food Sci. 50 (1985), 385-392.
[15] S. Brunauer, L. S. Deming, W. E. Deming and E. Teller, On a theory of the van der Waals adsorption of gases, J. Am. Chem. Soc. 62 (1940), 1723-1732.
[16] N. H. Dural and A. L. Hines, Adsorption of water on cereal-bread type dietary fibers, J. Food Eng. 20 (1993), 17-43.
https://doi.org/10.1016/0260-8774(93)90017-E.
[17] V. M. Yakovenko, Applications of statistical mechanics to economics: entropic origin of the probability distributions of money, income, and energy consumption, 2012. ArXiv Prepr. ArXiv1204.6483.
[18] S. Galam, Application of statistical physics to politics, Phys. A 274 (1999), 132-139.
[19] P. A. P. Moran, Random processes in genetics, Math. Proc. Cambridge Philos. Soc. 54 (1958), 60-71. https://doi.org/DOI:10.1017/S0305004100033193.
[20] B. Diu, C. Guthmann, D. Lederer and B. Roulet, Éléments de Physique Statistique, Paris, Hermann, 1989.
[21] M. Ben Yahia, M. Tounsi, F. Aouaini, S. Knani, M. Ben Yahia and A. Ben Lamine, A statistical physics study of the interaction of [7]-helicene with alkali cations (K+ and Cs+): new insights on microscopic adsorption behavior, RSC Adv. 7 (2017). https://doi.org/10.1039/c7ra08387d.
[22] M. B. Yahia, M. B. Yahia, F. Aouaini, S. Knani, H. Al-Ghamdi, E. S. Almogait and A. B. Lamine, Adsorption of sodium and lithium ions onto helicenes molecules: Experiments and phenomenological modeling, J. Mol. Liq. 288 (2019). https://doi.org/10.1016/j.molliq.2019.110998.
[23] S. Wjihi, L. Sellaoui, M. Bouzid, H. Dhaou, S. Knani, A. Jemni and A. Ben Lamine, Theoretical study of hydrogen sorption on LaNi5 using statistical physics treatment: microscopic and macroscopic investigation, Int. J. Hydrogen Energy 42 (2017), 2699-2712.
[24] F. Aouaini, S. Knani, M. Ben Yahia and A. Ben Lamine, Statistical physics studies of multilayer adsorption isotherm in food materials and pore size distribution, Phys. A 432 (2015), 373-390.
[25] S. Knani, N. Mabrouk, S. T. Alanazi and N. Kechaou, Study of moisture adsorption isotherms characteristics of banana and thermodynamic properties using statistical physics formalism, Dry. Technol. 40 (2022), 3425-3433. https://doi.org/10.1080/07373937.2022.2053706.
[26] H. Alyousef, F. Aouaini and M. Ben Yahia, New insights on physico-chemical investigation of water adsorption isotherm into seed of dates using statistical physics treatment: Pore size and energy distributions, J. Mol. Liq. 298 (2020), 112041.
[27] M. Ben Yahia, L. B. H. Hsan, S. Knani, M. Ben Yahia, H. Nasri and A. Ben Lamine, Modeling of adsorption isotherms of zinc nitrate on a thin layer of porphyrin, J. Mol. Liq. 222 (2016), 576-585.
[28] S. Knani, M. Khalfaoui, M. A. Hachicha, A. Ben Lamine and M. Mathlouthi, Modelling of water vapour adsorption on foods products by a statistical physics treatment using the grand canonical ensemble, Food Chem. 132 (2012), 1686 1692.
[29] S. Knani, F. Aouaini, N. Bahloul, M. Khalfaoui, M. A. Hachicha, A. Ben Lamine and N. Kechaou, Modeling of adsorption isotherms of water vapor on Tunisian olive leaves using statistical mechanical formulation, Phys. A 400 (2014). https://doi.org/10.1016/j.physa.2014.01.006.
[30] A. Farahnaky, N. Mansoori, M. Majzoobi and F. Badii, Physicochemical and sorption isotherm properties of date syrup powder: antiplasticizing effect of maltodextrin, Food Bioprod. Process. 98 (2016), 133-141.
[31] S. Knani, F. Aouaini, N. Bahloul, M. Khalfaoui, M. A. Hachicha, A. Ben Lamine and N. Kechaou, Modeling of adsorption isotherms of water vapor on Tunisian olive leaves using statistical mechanical formulation, Phys. A 400 (2014), 57-70.
[32] N. Arslan and H. Modelling of water sorption isotherms of macaroni stored in a chamber under controlled humidity and thermodynamic approach, J. Food Eng. 69 (2005), 133-145.
[33] F. Aouaini, S. Knani, M. Ben Yahia and A. Ben Lamine, Statistical physics studies of multilayer adsorption isotherm in food materials and pore size distribution, Phys. A 432 (2015), 373-390.
https://doi.org/10.1016/j.physa.2015.03.052.
[34] H. Alyousef, M. Ben Yahia and F. Aouaini, Statistical physics modeling of water vapor adsorption isotherm into kernels of dates: experiments, microscopic interpretation and thermodynamic functions evaluation, Arab. J. Chem. 13 (2020), 4691-4702.
[35] B. J. Stanley and G. Guiochon, Importance of the accuracy of experimental data in the nonlinear chromatographic determination of adsorption energy distributions, Langmuir 10 (1994), 4278-4285.
[36] G. F. Cerofolini, Localized adsorption on heterogeneous surfaces, Thin Solid Films 23 (1974), 129-152.