Reversible reaction mathematical characterization

Mathematical Characterization of Simple Reversible Reaction Systems... 

Simple Parallel Reactions. The simplest types of parallel reactions involve the irreversible transformation of a single reactant into two or more product species through reaction paths that have the same dependence on reactant concentrations. The introduction of more than a single reactant species, of reversibility, and of parallel paths that differ in their reaction orders can complicate the analysis considerably. However, under certain conditions, it is still possible to derive useful mathematical relations to characterize the behavior of these systems. A variety of interesting cases are described in the following subsections. 

Reversed-flow gas chromatography (RF-GC) has been used to study the kinetics of surface-catalyzed reactions and the nature of the active sites. RF-GC is technically very simple and it is combined with a mathematical analysis that gives the possibility for the estimation of various physicochemical parameters related to catalyst characterization in a simple experiment under conditions compatible with the operation of real catalysts. The experimental findings of RF-GC for the oxidation of CO over well-studied silica-supported platinum-rhodium bimetallic catalysts are in agreement with the results of other workers using different techniques ascertaining that RF-GC methodologies can be used for the characterization of various solids with simplicity and accuracy. 

Reversed-flow gas chromatography (RF-GC) has been successfully used to characterize solid catalysts under conditions compatible with the operation of real catalysts. RF-GC is not limited to chromatographic separation since RF-GC is accompanied by suitable mathematical analysis of the chromatographic data, the simultaneous determination of various physicochemical parameters is possible. Thus, various catalytic processes related to the operation of fuel cell units such as steam reforming, catal3dic partial oxidation, autothermal reforming, as well as water-gas shift (WGS) reaction and selective CO oxidation can be studied. 

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