Global reactions

As with the other surface reactions discussed above, the steps m a catalytic reaction (neglecting diffiision) are as follows the adsorption of reactant molecules or atoms to fomi bound surface species, the reaction of these surface species with gas phase species or other surface species and subsequent product desorption. The global reaction rate is governed by the slowest of these elementary steps, called the rate-detemiming or rate-limiting step. In many cases, it has been found that either the adsorption or desorption steps are rate detemiining. It is not surprising, then, that the surface stmcture of the catalyst, which is a variable that can influence adsorption and desorption rates, can sometimes affect the overall conversion and selectivity. 

Figure 9.8. Global reaction mechanism for the hydrodesulfurization of thiophene, in which the first step involves hydrogenation of the unsaturated ring, followed by cleavage ofthe C-S bond in two steps. Butadiene is assumed to be the first sulfur-free product,...

To be specific, let us consider the global reaction between dissolved cadmium ions and thiourea molecules in ammonia solutions, which can be represented as... 

HRP catalyzes the oxidation of a variety of organic and inorganic substances, with H202 as electron acceptor. The global reaction catalyzed by HRP is described by Equation 17.1, in which an oxidant (II202) reacts with a reducing substrate (AH2) to produce a radical product ( All) and H20 ... 

The key-step is the NO decomposition (Eqn. 23) the global reaction rate depends for a great part of the rate on this step. 

The rates at which chemical transformations take place are in some circumstances strongly influenced by mass and heat transfer processes (see Sections 12.3 to 12.5). In the design of heterogeneous catalytic reactors, it is essential to utilize a rate expression that takes into account the influence of physical transport processes on the rate at which reactants are converted to products. Smith (93) has popularized the use of the term global reaction rate to characterize the overall rate of transformation of reactants to... 

At steady state, the rates of each of the individual steps will be the same, and this equality is used to develop an expression for the global reaction rate in terms of bulk-fluid properties. Actually, we have already employed a relation of this sort in the development of equation 12.4.28 where we examined the influence of external mass transfer limitations on observed reaction rates. Generally, we must worry not only about concentration differences between the bulk fluid and the external surface of the catalyst, but also about temperature differences between these points and intraparticle gradients in temperature and composition. 

Let us now turn our attention to the problem of determining the global reaction rate at some arbitrary point in a heterogeneous catalytic reactor from a knowledge of the following parameters. 

Values of all of these parameters must be available or estimated if we are to determine the global reaction rate. Some of these quantities can be evaluated from standard handbooks of physical property data, or generalized correlations such as those compiled by Reid and Sherwood (87). Others can be determined only by experimental measurements on the specific reactant/catalyst system under consideration. 

Determination of the global reaction rate that applies to a given segment of reactor volume involves the use of equations developed earlier. 

The aim of this study is to develop model reaction for the characterization of the acidity and basicity of various transition aluminas, the experimental conditions being close to that for catalysis use. Among various model reactions, the transformation of cyclopentanol and cyclohexanone mixture was chosen for this work. Indeed, this reaction was well known for estimating simultaneously the acid-base properties of oxide catalysts [1], Two reactions take place the hydrogen transfer (HT) on basic sites and the alcohol dehydration (DEH) on acid sites. The global reaction scheme is shown in Figure 1. 

From the heat capacity of the reaction mass, preferably determined in relatively large units such as in bench-scale trials, and the total heat effect, the adiabatic temperature rise for fire global reaction in question can be estimated and/or predicted. 

The time-to-rimaway can be calculated using dT/dt and Tmax values. This calculated time is a measure of the possible global reaction rate. ARC experimental results may also be used to develop required mathematical models for process design. 

Apparent activation energy in this book, the constant Ea that defines the effect of temperature on the global reaction rate. 

There are a few reported cases of esterases that catalyze not only hydrolysis but also the reverse reaction of ester formation, in analogy with the global reaction described for serine peptidases (Fig. 3.4). Thus, cholesterol esterase can catalyze the esterification of oleic acid with cholesterol and, more importantly in our context, that of fatty acids with haloethanols [54], Esterification and transesterification reactions are also mediated by carboxyleste-rases, as discussed in greater detail in Sect. 7.4. 

Radical cations resulting from oxidation of olefins, aromatic compounds, amino groups, and so on, can react by electrophilic addition to a nucleophilic center as shown, for example, in Scheme 1 [2, 3]. The double bond activated by an electron-donating substituent is first oxidized leading to a radical cation that attacks the nucleophilic center. The global reaction is a two-electron process corresponding to an ECEC mechanism. 

Jones, W. P., and Lindstedt, R. P., Global reaction schemes for hydrocarbon combustion, Combust. Flame 73, 233 (1988). 

Scheme 8.1. Global reactions during the eiectrochemical oxidation of alcohols catalysed by halide ions in an undivided cell...

Vatcha reports that the rate expression given by Eq. (1) describes the global rate, thus allowing gas phase concentrations to be used in the reaction analysis. Global reaction kinetics will be used in the analysis to follow. Consequently, these kinetics must account for microscopic processes such as adsorption/desorption on the catalyst surface and intraparticle diffusion. Since most available kinetic information is based on steady-state data, a major... 

It is possible to combine the resistances of internal and external mass transfer through an overall effectiveness factor, for isothermal particles and first-order reaction. Two approaches can be applied. The general idea is that the catalyst can be divided into two parts its exterior surface and its interior surface. Therefore, the global reaction rates used here are per unit surface area of catalyst. 

In the washcoat, reaction rates are modeled via global reaction mechanisms. In such a global or macrokinetic reaction mechanism, several microkinetic adsorption, reaction and desorption steps are lumped together, reducing the overall number of kinetic parameters considerably. For some catalysts,... 

The employed physical and chemically based modeling approach enables a relatively large variation of geometrical catalyst parameters, e.g. catalyst length, diameter, etc., with the global reaction kinetics and therefore the overall... 

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