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Reaction rate calculations for cosubstrates diffusing into catalyst layer from opposite sides
Author(s) -
Karel Steven F.,
Robertson Charming R.
Publication year - 1987
Publication title -
biotechnology and bioengineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.136
H-Index - 189
eISSN - 1097-0290
pISSN - 0006-3592
DOI - 10.1002/bit.260300314
Subject(s) - catalysis , zeroth law of thermodynamics , reaction rate , diffusion , order of reaction , rate equation , chemistry , position (finance) , slab , thermodynamics , reaction–diffusion system , kinetics , chemical kinetics , first order , frequency factor , order (exchange) , reversible reaction , reaction rate constant , physics , classical mechanics , mathematics , organic chemistry , activation energy , geophysics , economics , finance
The effects of diffusion on a reaction taking place in a permeable catalyst are examined theoretically for the case where the reaction has two substrates supplied from opposite sides of a catalytic slab. The solutions of the reaction–diffusion equation for combinations of zeroth‐and first‐order kinetics are given in terms of an effectiveness factor and a parameter describing the position in the layer where the reaction occurs. In these terms, the results vary only weakly with reaction order. The use of the exact solutions for a reaction that is zeroth order in both sub strates is proposed as a general rule for estimating the reaction rate and the reaction position.
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