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001-es BibID:	BIBFORM083063
035-os BibID:	(Scopus)84938979931 (WoS)000359408800009
Első szerző:	Lente Gábor (vegyész)
Cím:	Analytical solutions for the rate equations of irreversible two-step consecutive processes with second order later steps / Gábor Lente
Dátum:	2015
ISSN:	0259-9791
Megjegyzések:	Analytical solutions are presented for four consecutive two-step kinetic schemes, which involve a first reaction with zeroth, first, second or mixed second order dependence and a second step, which is second order with respect to the intermediate formed in the first step. Two of the analytical solutions found use elementary functions not very commonly encountered in chemistry, as the rate equations are shown to be related to the Legendre or modified Bessel differential equations. The solutions are analyzed not only as a function of time, but by plotting two concentrations as a function of each other as well. The dependence of the kinetic traces on the parameter values is also investigated. In all cases, two scaling parameters are identified. Three of the four cases are characterized by a single shape parameter, which is basically the ratio of the rate constant scaled with a suitable concentration unit if necessary. The mixed second order?second order scheme has an additional shape parameter, which is the ratio of the initial concentrations of the two reactants.
Tárgyszavak:	Természettudományok Kémiai tudományok idegen nyelvű folyóiratközlemény külföldi lapban folyóiratcikk Reaction kinetics Mathematical modelling Intermediate Two-stage process Second order process
Megjelenés:	Journal of Mathematical Chemistry. - 53 : 8 (2015), p. 1759-1771. -
Pályázati támogatás:	TÁMOP-4.2.2.A-11/1/KONV-2012-0043 TÁMOP NK 105156 Egyéb
Internet cím:	Szerző által megadott URL DOI Intézményi repozitóriumban (DEA) tárolt változat
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