Simple experiment for modeling the reaction interface in solids decomposition

Authors

DOI:

https://doi.org/10.33448/rsd-v12i1.39805

Keywords:

Geometric modeling; Reaction interface; Decomposition of solids; Naphthalene; Lamé’s curve.

Abstract

In line with the concept of interdisciplinarity, the present work proposes a simple experiment to teach solid decomposition reactions, through the geometric evolution of naphthalene parallelepipeds submitted to sublimation. Geometric modeling of the specimen's face projections by the Lamé curves (also called superelipses) allows the calculation of the volume of the corresponding superelipsoid, resulting in adequate quantification of the evolution of the naphthalene sample mass.  The proposed experimental procedure has proved to be a simple and elucidative tool for carrying out practical classes in the laboratory, minimally equipped, aiming at learning both solid decomposition reactions and mathematical modeling techniques for heterogeneous reaction interfaces, using Lamé curves.

Author Biographies

Marcus Alexandre de Carvalho Winitskoski da Silveira, Secretaria Municipal de Meio Ambiente da Prefeitura de Belo Horizonte

Metallurgical Engineer from Federal University of Rio de Janeiro (2009), Specialist in Metallurgical Mining Systems from Federal University of Ouro Preto (UFOP) / Gorceix Foundation (2013), Master in Mineral Technology from the Postgraduate Program in Metallurgical Engineering and Materials at COPPE/UFRJ - Federal University of Rio de Janeiro (2012) and PhD in Mineral Engineering from the Postgraduate Program in Mineral Engineering at Federal University of Ouro Preto (2020). He worked as a collaborator in consulting projects linked to COPPE/UFRJ for almost 6 years (2005 to 2011) and as a process engineer at Vale S.A. for almost 4 years (2011 to 2015). He acquired proficiency in techniques for characterization of iron ores, aluminum, limestone, coal, etc. Has experience in coordinating projects of statistical variability study of new mineral resources for engineering projects, preparation of technical reports of technological research, development studies of new inputs (depressants/flocculants...) for plants, calcination process sizing, and optimization of mineral processing routines. He has teaching experience in Mining Engineering at Federal University of Ouro Preto (2015 to 2016) and at the State University of Minas Gerais (2021 to 2022). Currently works as an expert in environmental compliance analysis of industrial enterprises within the municipality of Belo Horizonte.

Jorge Carlos Guerrero Vargas, Universidad Federal de Ouro Preto

Has a degree in Mining Engineering from the Universidad Privada del Norte (2016). He has experience in the area of Mining Engineering. Master's degree (ongoing) in the Graduate Program in Mineral Engineering at the Federal University of Ouro Preto (PPGEM/UFOP).

References

Adamian, R., & Almendra, E. R. e. (2002). Físico química: uma aplicação aos materiais (1a ed.). Rio de Janeiro: COPPE / UFRJ.

Anishchenko, A., Kukhar, V., Artiukh, V., & Arkhipova, O. (2018). Application of G. Lame’s and J. Gielis’ formulas for description of shells superplastic forming. MATEC Web of Conferences , 06007. TransSiberia 2018. https://doi.org/10.1051/matecconf /201823906007

Borisenko, V., Ustenko, S., Ustenko, I. (2020). Constructing amethod for the geometrical modeling of the lame superel-lipses in the oblique coordinate systems. Eastern-European Journal of Enterprise Technologies, 2(104), 51–59.

Boualem, H. & Brouzet, R. (2015) To Be (a Circle) or Not to Be?, The College Mathematics Journal, 46:3, 197-206, DOI: 10.4169/college.math.j.46.3.197

Brown, R. L., & Stein, S. E. (2022). Boiling Point Data. In: Linstrom, P. J. & Mallard, W.G. (Ed.). NIST Chemistry WebBook, NIST Standard Reference Database Number 69, National Institute of Standards and Technology, Gaithersburg MD, 20899, https://doi.org/10.18434/T4D303, (recuperadas 28 dezembro 2022).

Chao, J., Lin, C. T., & Chung, T. H.(1983).Vapor Pressure of Coal Chemicals. Journal of Physical and Chemical Reference Data, 12, 1033 (1983), https:// doi.org/10.1063/1.555695 [Published Online: 15 October 2009].

Cleminte, C-I, Ionita, D., Lisa, C, Cristea, M., Mamaliga, I., & Lisa, G.(2022).Evaluation of the Sublimation Process of Some Purine Derivatives: Sublimation Rate, Activation Energy, Mass Transfer Coefficients and Phenomenological Models. Materials, 15, 7376. https://doi.org/10.3390/ma15207376

Domalski, E. S. & Hearing,E. D.(1988). Estimation of the Thermodynamic Properties of Hydrocarbons at 298.15 K. Journal of Physical and Chemical Reference Data, 17, 1637-1678 (1988) https://doi.org/10.1063/1.555814

Khawam, A., & Flanagan, D. R. (2006). Solid-state kinetic models: Basics and mathematical fundamentals. Journal of Physical Chemistry B, 110(35), 17315–17328. https://doi.org/10.1021/jp062746a

Lielmezs, J., Bennett, F., & McFee, D. (1981). Thermodynamic functions for naphthalene. Thermochimica Acta, 47(3), 287-308. https://doi.org/10.1016/0040-6031(81)80108-6

Luz, J. A. M., Silva, J. M., & Melo, F. C. (2013). Simulation of underground mine ventilation based on Lamé’s curves. 23rd International Mining Congress and Exhibition of Turkey, IMCET 2013, 2, 839–846.

Matsuura, M. (2014).Asymptotic Behaviour of the Maximum Curvature of Lam´e Curves. Journal for Geometry and Graphics, Volume 18 (2014), No. 1, 45–59.

Moreira, B. A. (2010). Obtenção de correlações para a estimativa do coeficiente convectivo de transferência de massa para a geometria esférica a partir da técnica de sublimação do naftaleno. Universidade Federal de Uberlândia.

Tesconi, M., Pikal, M. J., & Yalkowsky X, S. H. (1997). A Method for the Rapid Estimation of Sublimation Rates of Organic Compounds at Standard Temperature and Pressure. Journal of Pharmaceutical Sciences, 86(11), 1299-1302. https://doi.org/10.1021/js9700356

Tesconi, M. S., Morris, R. H., & Yalkowsky, S. H. (1999). A practical method for the estimation of ambient vaporization rates of compounds. Chemosphere, 38(13), 3193-3209. https://doi.org/10.1016/S0045-6535(98)00508-6

Torres-Gómez, L. A., Barreiro-Rodriguez, G., & Galarza-Mondragón, A. (1988). A new method for the measurement of enthalpies of sublimation using differential scanning calorimetry. Thermochimica Acta, 1988, 229–233, https://doi.org/10.1016/0040-6031(88)87025-4.

Vyazovkin, S., & Wight, C. A. (1997). Kinetics in Solids. Annual Review of Physical Chemistry, 48(1), 125–149. https://doi.org/10.1146/annurev.physchem.48.1.125

Weisstein, E. W. (2020). Superellipsoid. Retrieved January 6, 2020, from From MathWorld--A Wolfram Web Resource website: https://mathworld.wolfram.com/Superellipsoid.htm

Yolcu, H. H. & Gürses, A. (2016). A Demonstration of the Sublimation Process and its Effect on Students’ Conceptual Understanding of the Sublimation Concept. Journal of the Turkish Chemical Society, Section C: Chemical Education. 1, 2, pp: 67–74.

Zhao, H., Unhannanant, P., Hanshaw, W., & Chickos, J. S. (2008). Enthalpies of Vaporization and Vapor Pressures of Some Deuterated Hydrocarbons. Liquid−Vapor Pressure Isotope Effects. Journal of Chemical Engineering Data, 2008, 53, 7, 1545–1556. https://doi.org/10.1021/je800091s

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Published

10/01/2023

How to Cite

SILVEIRA, M. A. de C. W. da .; LUZ, J. A. M. da; GUERRERO VARGAS, J. C. . Simple experiment for modeling the reaction interface in solids decomposition. Research, Society and Development, [S. l.], v. 12, n. 1, p. e25812139805, 2023. DOI: 10.33448/rsd-v12i1.39805. Disponível em: https://rsdjournal.org/index.php/rsd/article/view/39805. Acesso em: 22 dec. 2024.

Issue

Vol. 12 No. 1

Section

Engineerings

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Copyright (c) 2023 Marcus Alexandre de Carvalho Winitskoski da Silveira; José Aurélio Medeiros da Luz; Jorge Carlos Guerrero Vargas

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