A continuous version of the kinetic treatment of consecutive degradation reactions obeying a first order formalism is established. This "continuous kinetics" may be applied to degradation processes in complex multi-component systems containing a large number of similar species such as petroleum frac
Continuous kinetics of reversible reactions in polydisperse mixtures
β Scribed by Dieter Browarzik; Horst Kehlen
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 369 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0009-2509
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β¦ Synopsis
Continuous kinetics is applied to study the simultaneous occurrence of polymerization and degradation in polydisperse systems. The rate constants of all reactions are assumed to be independent of the molar masses of the species reacting. For an arbitrarily chosen initial distribution the continuous rate equation is approximately solved, by assuming a Schulz-Flory distribution with time-dependent parameters to be valid during the whole reaction time. The temporal change of the continuous distribution and of its moments is predicted. After infinite time the composition of the polydisperse system is exactly described by a Schulz-Flory distribution with the non-uniformity U = 1, Presuming a monomeric initial condition many years ago Blatz and Tobolski found the exact discontinuous distribution. The comparison of the approximation method developed and of the exact results by Blatz and Tobolski yields an excellent accordance.
π SIMILAR VOLUMES
A continuous mixture is one which is so complex that it is no longer worthwhile to distinguish individual chemical species; instead, an index, such as the simulated boiling point, is chosen and c , the concentration of the species Ai, is replaced by c(x)dx, the concentration of material with index i