Abstract
Fundamental advantages of the thermochemical approach compared with the activation approach were supported in this work by the results of theoretical calculations of the A and E kinetic parameters of CaCO3 decomposition in vacuum, air and CO2 and their comparison with experimental data. The temperature of the reaction in CO2 increases from 800 K (in vacuum) up to 1,200 K at equal rates of decomposition. This effect (unexplained in the framework of the activation approach) is of tremendous importance for estimating the thermal stability and lifetime of materials. It has been shown that the pre-exponential factor A in the Arrhenius equation is related to the entropy change of decomposition reaction and, in the isobaric mode, additionally, to the pressure of the external gaseous product. The mysterious effect of “variable activation energy” observed in many non-isothermal studies of solid decompositions, in particular, for CaCO3, was explained by the change of the reaction regime from the isobaric mode at low temperature (and decomposition degree) to the equimolar mode at higher temperatures (and higher decomposition degrees). This effect manifests itself for reactions related to the evolution of O2, H2O and CO2 gaseous products, which can be present in the reactor media as impurities.
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References
L’vov BV (2014) Thermochemical model in kinetics of heterogeneous reactions: 100-year jubilee. J Therm Anal Calorim 116:1041–1045. doi:10.1007/s10973-013-3580-7
Hertz H (1882) Über die Verdunstung der Flüssigkeiten, insbesondere des Quecksilbers, im luftleeren Raume. Ann Phys Chem 17:177–200
Van’t Hoff JH (1884) Études de dynamique chimique. Frederik Müller et Co, Amsterdam
Arrhenius S (1889) Űber die Reaktionsgeschwindigkeit bei der Inversion von Rohrzucker durch Säuren. Z Phys Chem 4:226–248
L’vov BV (2014) Activation effect in heterogeneous decomposition reactions: fact or fiction? React Kinet Mech Catal 111:415–429. doi:10.1007/s11144-014-0675-5
L’vov BV, Ryabchuk GN (1981) Studies of the mechanisms of sample atomization in electrothermal atomic absorption spectrometry by analysis of absolute process rates. Oxygen-containing compounds. Zh Anal Khim 36:2085–2096 (in Russian)
L’vov BV, Fernandez GHA (1984) Regularities in thermal dissociation of oxides in graphite furnaces for atomic absorption analysis. Zh Anal Khim 39:221–231 (in Russian)
L’vov BV (1990) The mechanism of the thermal decomposition of metal nitrates in graphite furnaces for atomic absorption analysis. Zh Anal Khim 45:2144–2153 (in Russian)
L’vov BV (1991) Mechanism of the thermal decomposition of metal nitrates from graphite furnace mass spectrometry studies. Mikrochim Acta (Wien) II:299–308
Vyazovkin S, Burnham AK, Criado JM, Pérez-Marqueda LA, Popescu C, Sbirrazzuoli N (2011) ICTAC Kinetics Committee recommendations for performing kinetic computations on thermal analysis data. Thermochim Acta 520:1–19. doi:10.1016/j.tca.2011.03.34
L’vov BV (2006) Thermal decomposition of solid and liquid substances. Polytech Univ Publisher, St Petersburg (in Russian)
L’vov BV (2007) Thermal decomposition of solids and melts, new thermochemical approach to the mechanism, kinetics and methodology. Springer, Berlin
Langmuir I (1913) The vapour pressure of metallic tungsten. Phys Rev 2:329–342
L’vov BV (1997) Interpretation of atomization mechanisms in electrothermal atomic absorption spectrometry by analysis of the absolute rates of the processes. Spectrochim Acta, Part B 52:1–23
L’vov BV (1997) Mechanism of thermal decomposition of alkaline-earth carbonates. Thermochim Acta 303:161–170
L’vov BV, Ugolkov VL (2005) Application of the Hertz–Langmuir equation for investigation of dehydration kinetics of solids in atmosphere of air. Russ J Appl Chem 78:384–389
L’vov BV, Ugolkov VL (2005) Kinetics and mechanism of dehydration of kaolinite, muscovite and talc analyzed thermogravimetrically by the third-law method. J Therm Anal Calorim 82:15–22
L’vov BV, Ugolkov VL (2007) Use of potassium permanganate as a possible kinetic standard in thermal analysis. Russ J Appl Chem 80:1289–1294
Glushko VP (ed) (1978–1982) Thermodynamic properties of individual substances. Handbook in 4 volumes. Nauka, Moscow (in Russian)
Brown ME, Maciejewski M, Vyazovkin S, Nomen R, Sempere J, Burnham A, Opfermann J, Strey R, Anderson HL, Kemmler A, Keuleers R, Janssens J, Desseyn HO, Li Chao-Rui, Tong B, Tang Roduit B, Malek J, Mitsuhashi T (2000) Computational aspects of kinetic analysis. Part A: the ICTAC kinetic project–data, methods and results. Thermochim Acta 355:125–143
L’vov BV, Polzik LK, Ugolkov VL (2002) Decomposition kinetics of calcite: a new approach to the old problem. Thermochim Acta 390:5–19. doi:10.1016/S0040-6031(02)00080-1
L’vov BV (2002) The interrelation between the temperature of solid decompositions and the E parameter of the Arrhenius equation. Thermochim Acta 389:199–211. doi:10.1016/S0040-6031(02)00013-8
Benson SW (1968) Thermochemical kinetics. Wiley, New York
Vyazovkin S (2000) Kinetic concepts of thermally stimulated reactions in solids: a view from a historical perspective. Int Rev Phys Chem 19:45–60
L’vov BV (2010) The mechanism of solid-state decompositions in a retrospective. J Therm Anal Calorim 101:1175–1182. doi:10.1007/s10973-009-0579-1
Galwey AK, Brown ME (1999) Thermal decomposition of ionic solids (Chap 3). Elsevier, Amsterdam
Sesták J (2005) Science of heat and thermophysical properties of solids. Elsevier, Amsterdam
Schwab G-M (1931) Katalyse vom Standpunkt der chemischen Kinetik. Springer, Berlin
L’vov BV, Galwey AK (2012) The mechanism and kinetics of NiO reduction by hydrogen: thermochemical approach. J Therm Anal Calorim 110:601–610. doi:10.1007/s10973-011-2000-0
L’vov BV, Galwey AK (2013) Catalytic oxidation of CO on platinum: thermochemical approach. J Therm Anal Calorim 111:145–154. doi:10.1007/s10973-012-2241-6
L’vov BV, Galwey AK (2013) Catalytic oxidation of hydrogen on platinum: thermochemical approach. J Therm Anal Calorim 112:815–822. doi:10.1007/s10973-012-2567-0
L’vov BV, Galwey AK (2013) Toward a general theory of heterogeneous reactions: thermochemical approach. J Therm Anal Calorim 113:561–568. doi:10.1007/s10973-012-2754-z
L’vov BV, Galwey AK (2013) Interpretation of the kinetic compensation effect in heterogeneous reactions: thermochemical approach. Int Rev Phys Chem 32:515–557. doi:10.1080/0144235X.2013.802109
Acknowledgments
The author is indebted to Dr. Andrew Galwey (Belfast) and Dr. Valery Ugolkov (St Petersburg) for fruitful cooperation in these studies. The author thanks also his grandson Nikita L’vov (Princeton University, USA) for a stylistic improvement of the manuscript.
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L’vov, B.V. Kinetic parameters of CaCO3 decomposition in vacuum, air and CO2 calculated theoretically by means of the thermochemical approach. Reac Kinet Mech Cat 114, 31–40 (2015). https://doi.org/10.1007/s11144-014-0767-2
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DOI: https://doi.org/10.1007/s11144-014-0767-2