Langmuir-Hinshelwood mechanism equilibrium constants

Various Langmuir-Hinshelwood mechanisms were assumed. CO and CO2 were assumed to adsorb on one kind of active site, si, and H2 and IT2O on another kind, s2. The H2 adsorbed with dissociation and all participants were assumed to be in adsorptive equilibrium. Some 48 possible controlling mechanisms were examined, each with 7 empirical constants. Variance analysis of the experimental data reduced the number to three possibilities. The rate equations of the three reactions are stated for the mechanisms finally adopted, with the constants correlated by the Arrhenius equation. 

Of course, the Eley-Rideal mechanism is a likely pathway at high reaction temperature, whereas the Langmuir-Hinshelwood mechanism is realized at low temperature, when the precursor concentration remains sufficient. The importance of reactant preadsorption on a given surface can be probed by the use of a Langmuir Hinshelwood kinetic model [91-93]. With the assumptions for this model the surface coverage (0) is related to the initial pressure of reactant (P) and to the apparent adsorption equilibrium constant K ... 

Reactant equilibrium constants Kp and affect the forward kinetic rate constant, and all Ki s affect die adsorption terms in the denominator of the Hougen-Watson rate law via the 0, parameters defined on page 493. However, the forward kinetic rate constant does not appear explicitly in the dimensionless simulations because it is accounted for in Ihe numerator of the Damkohler number, and is chosen independently to initiate the calculations. Hence, simulations performed at larger adsorption/desorption equilibrium constants and the same intrapellet Damkohler number implicitly require that the forward kinetic rate constant must decrease to offset the increase in reactant equilibrium constants. The vacant-site fraction on the internal catalytic surface decreases when adsorption/desorption equilibrium constants increase. The forward rate of reaction for the triple-site reaction-controlled Langmuir-Hinshelwood mechanism described on page 491 is proportional to the third power of the vacant-site fraction. Consequently, larger T, s at lower temperature decrease the rate of reactant consumption and could produce reaction-controlled conditions. This is evident in Table 19-3, because the... 

For the Langmuir-Hinshelwood mechanism (Eq. 7.10), the following equations could be written for the equilibrium constants of the first two steps... 

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