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Lumping nonlinear kinetics

Authors

  • Gianni Astarita,

    1. Dipartimento di Ingegneria Chimica, Università di Napoli, Piazzale Tecchio, 80125 Napoli, Italy
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  • Raffaella Ocone

    1. Dipartimento di Ingegneria Chimica, Università di Napoli, Piazzale Tecchio, 80125 Napoli, Italy
    Current affiliation:
    1. Department of Chemical Engineering, Princeton University, Princeton, NJ
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Abstract

Lumping of the kinetics of mixtures described by a continuous distribution function of concentration is discussed for the case where individual reactions have nonlinear kinetics. The assumption of independent kinetics, which leads to a paradox, is not used. Functional-differential equations govern the kinetic behavior of the mixture. Formal solutions are presented for a class of kinetic behavior that includes Langmuir isotherm catalysis and for the special case of bimolecular reactions. A class is defined for which the kinetic functionals can be expanded in a series of integrals for which the kernels are entirely determined. Finally, a thermodynamic analysis is presented to show that the commonly accepted equilibrium theory implies a kinetic approximation of maximal rank for the kinetics at the equilibrium point.

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