Reaction, consecutive reversible

For At = 0.005, the agreement between the Markov chain solution and the exact solution [32, vol.2, p.26] is Dmax = 6.2% and Dmean = 3.1%. As seen also in Fig.3.9-1, the ratio C3/C2 approaches at steady state the value k2/k-2 as predicted from Eqs.(3.9-la). 

From Eq.(3.9-4a), the steady state conditions for the system follows from ri = r2 = r3 = 0, yielding 

The present reaction is considered in [35, p.l49] without an analytical solution. 

For the above reaction of Z states, which simulates signal transmition in a T-cell [37], the following equations are applicable  

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With these kinetic data and a knowledge of the reactor configuration, the development of a computer simulation model of the esterification reaction is iavaluable for optimising esterification reaction operation (25—28). However, all esterification reactions do not necessarily permit straightforward mathematical treatment. In a study of the esterification of 2,3-butanediol and acetic acid usiag sulfuric acid catalyst, it was found that the reaction occurs through two pairs of consecutive reversible reactions of approximately equal speeds. These reactions do not conform to any simple first-, second-, or third-order equation, even ia the early stages (29). 

A general solution of two-step consecutive reversible reactions... 

Optimal policies for first-order consecutive reversible reactions (with R. S. H. Mah). Chem. Eng. ScL 19, 541-553 (1964). 

An industrial example of a consecutive reversible reaction is the catalytic isomerization reactions of n-hexane to 2-methyl pentane and 3-methyl pentane and is represented as ... 

Example 11.9 A linear pathway Consider a linear metabolic pathway composed of five consecutive reversible reactions (Boogerd et al., 2005) where each reaction is catalyzed by an enzyme E... 

This type of polymerization is specific for ring-opening polymerization, and it has already been mentioned several times (in Chap. 1, Sect. 9.3 and Chap. 4, Sects. 2.2 and 2.3). Propagation of lactams mostly proceeds by a system of consecutive reversible reactions... 

Parallel reactions single and consecutive-reversible reaction steps. 

Consecutive-reversible reactions are those in which two or more reactions, each of different type, occur simultaneously, for example ... 

Casey, J.T. and A.I. Liapis (1985). Fixed bed sorption with recycle. Part III Consecutive reversible reactions. Chem. Eng. Res. Des. 63, 398. 

Figure 5. Consecutive reversible reactions. The individual rate constants, k, k2 k6, are all set equal to 0.1 day. The initial concentration of A is 0.10 mM. Concentrations of all species approach their final equilibrium values. In this case, the equilibrium concentration ratios arc unity.

The type of reaction which is probably of most importance in the enzymatic degradation of polymers is the bimolecular reaction illustrated above, in which the enzyme catalyzes the interaction of the polymer and a low molecular reagent (such as water in a hydrolysis reaction). These reactions can occur by either a single displacement or a double displacement mechanism. In the former, both substrates, A and B below, are bound to the enzyme by consecutive, reversible reactions, after which the final complex, EAB, dissociates into the products, C and D, and the free enzyme, as follows ... 

Biological reactions usually consist of a number of consecutive reversible reactions, which can be written... 

Consecutive Reversible Reactions in a Constant Volume Batch Reactor. 

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