Partial reaction rate-determining

Equation (211) is applicable to the reaction rate determined by stages 1 and 2a of mechanism (327). It is only necessary, as the adsorbed radical N2H2 is a product of stage 2a, to substitute for the partial pressure of this radical in the kinetic equation, its fugacity, />NzHz, determined by the equilibrium of stage 2b ... 

Through the use of partially deactivated catalysts to vary the total number of active catalyst sites, Jensen and Datta [4] and Kitchaiya and Datta [5] determined that a total of three sites are involved in the surface reaction rate-determining... 

Therefore the rate of the A th partial reaction is determined by the product of the concentrations of the different disappearing reactants, the amount of the stoichiometric coefficients being the exponents. The concentrations of products, formed in the different k partial reactions, are not included in this equation. 

Low temperatures strongly favor the formation of nitrogen dioxide. Below 150°C equiUbrium is almost totally in favor of NO2 formation. This is a slow reaction, but the rate constant for NO2 formation rapidly increases with reductions in temperature. Process temperatures are typically low enough to neglect the reverse reaction and determine changes in NO partial pressure by the rate expression (40—42) (eq. 13). The rate of reaction, and therefore the... 

The reaction rate per unit area i. For a corroding metal the partial anodic and cathodic current densities cannot be determined directly by means of an ammeter unless the anodic and cathodic areas can be separated physically, e.g. as in a bimetallic couple. If the metal is polarised a net current 4 for cathodic polarisation, and for anodic polarisation, will be obtained and can be measured by means of an ammeter. 

The outstanding problem is to decide how much, if any, association exists between N02 and X" in the generally rate-determining step of the reaction. Kinetic studies tend to indicate the presence of different electrophiles under different conditions whereas the derived partial rate factors are closely similar and therefore indicate one electrophile common to most, if not all, nitrating agents. The more electron-attracting is X , the more easily is N02 displaced from it and hence a reactivity sequence should be... 

The mechanism of the reaction was interpreted in terms of equilibria (265) and (266) with the second step at least partially rate-determining in view of the acceleration observed with added anions, the effect of base being envisaged as in (XXXIX). 

In contrast to such systems, substrates of the type RCOX are usually much more reactive than the corresponding RCH2X. Of course, the mechanism here is almost always the tetrahedral one. Three reasons can be given for the enhanced reactivity of RCOX (1) The carbonyl carbon has a sizable partial positive charge that makes it very attractive to nucleophiles. (2) In an Sn2 reaction a cr bond must break in the rate-determining step, which requires more energy than the shift of a pair of n electrons, which is what happens in a tetrahedral mechanism. (3) A trigonal carbon offers less steric hindrance to a nucleophile than a tetrahedral carbon. 

It is important to realize that the assumption of a rate-determining step limits the scope of our description. As with the steady state approximation, it is not possible to describe transients in the quasi-equilibrium model. In addition, the rate-determining step in the mechanism might shift to a different step if the reaction conditions change, e.g. if the partial pressure of a gas changes markedly. For a surface science study of the reaction A -i- B in an ultrahigh vacuum chamber with a single crystal as the catalyst, the partial pressures of A and B may be so small that the rates of adsorption become smaller than the rate of the surface reaction. 

At mercury and graphite electrodes the kinetics of reactions (15.21) and (15.22) can be studied separately (in different regions of potential). It follows from the experimental data (Fig. 15.6) that in acidic solutions the slope b 0.12 V. The reaction rate is proportional to the oxygen partial pressure (its solution concentration). At a given current density the electrode potential is independent of solution pH because of the shift of equilibrium potential, the electrode s polarization decreases by 0.06 V when the pH is raised by a unit. These data indicate that the rate-determining step is addition of the first electron to the oxygen molecule ... 

Relatively detailed study has been done for the reaction pathways over Au/Ti02 catalysts mainly because of simplicity in catalytic material components. The rate of PO formation at temperatures around 323 K does not depend on the partial pressure of C3H6 up to 20vol% and then decreases with an increase, while it increases monotonously with the partial pressure of O2 and H2 [57]. A kinetic isotope effect of H2 and D2 was also observed [63]. These rate dependencies indicate that active oxygen species are formed by the reaction of O2 and H2 and that this reaction is rate-determining [57,63,64]. 

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