An investigation of the kinetics of a reversible monomolecular reaction between n components

1979 ◽  
Vol 44 (4) ◽  
pp. 1146-1159 ◽  
Author(s):  
Jaromír Jakeš
Keyword(s):  
Reaction Kinetics ◽  
Kinetic Equations ◽  
Computer Programs ◽  
Matrix Form ◽  
Monomolecular Reaction ◽  
Kinetics Of ◽  
Derivatives Of

It has been shown that the solution of kinetic equations can be transformed into diagonalization of a symmetrical matrix, in contrast with the solution known so far and requiring diagonalization of a nonsymmetrical matrix. Simple formulas are given for the calculation of derivatives of the concentrations of individual components with respect to the parameters. All formulas are presented in a compact matrix form; their uniformity for a large number of cases recognized in the existing literature greatly facilitates writing computer programs for calculations of reaction kinetics.

Kinetics of a monomolecular reaction between n components

1980 ◽  
Vol 45 (4) ◽  
pp. 1197-1220 ◽  
Author(s):  
Jaromír Jakeš
Keyword(s):  
Reaction Kinetics ◽  
Difficult Case ◽  
System A ◽  
Monomolecular Reaction ◽  
Consecutive Reactions ◽  
Multiple Eigenvalues ◽  
The Individual ◽  
Kinetics Of ◽  
Hydrolysis Of ◽  
Derivatives Of

The reaction kinetics has been investigated of a general monomolecular reaction between n components, where reactions between some components are reversible and between others irreversible. The reacting components may be divided into groups so that all the components inside one group may change reversibly into each other, while reactions between components of different groups are irreversible. The reaction kinetics for each reversible group may be found similarly to the case where all the reactions are reversible; solutions for the individual reversible groups may be used to obtain solution for the whole system. A solution was also found to a difficult case in which matrices have multiple eigenvalues for irreversible consecutive reactions, namely, for a general case of degeneracy. Formulas are given for the calculation of derivatives of concentrations of the individual components with respect to parameters. The equations thus derived were applied to the reaction kinetics of a polymeranalogous reaction (e.g., hydrolysis of polyacrylonitrile).

Preliminary Study on Reaction Kinetics of Ammonia Nitrogen in Aqueous Samples Removed by Microbial Nano-Silica Ball

2014 ◽  
Vol 1010-1012 ◽  
pp. 528-531
Author(s):  
Chao Yin ◽  
Jia Lu ◽  
Xiao Hou Shao ◽  
Xin Yu Mao ◽  
Long Wang ◽  
...  
Keyword(s):  
Reaction Kinetics ◽  
Enrichment Culture ◽  
Kinetic Equations ◽  
Culture Liquid ◽  
Ammonia Nitrogen ◽  
Aqueous Samples ◽  
Nano Silica ◽  
N Removal ◽  
Preliminary Study ◽  
Kinetics Of

EM enrichment culture liquid was immobilized on nano-silica carrier to form microbial nano ball, so as to investigate the reaction kinetics of ammonia nitrogen (NH4+-N) by microbial nano ball. The results showed that first order reaction kinetics model could describe NH4+-N removal by different diameter microbial nano-silica balls well. And the microbe could keep higher biological activity between 0-72h. Reaction kinetic equations of NH4+-N were: (1) when diameter was 10mm, (0-48h), (48-72h); (2) when diameter was 20mm, (0-48h), (48-72h); (3) (0-48h), (48-72h).

Relationships among structure, reactivity towards thiols and basicity of phenylhydrazonopropanedinitriles

1985 ◽  
Vol 50 (9) ◽  
pp. 2065-2076 ◽  
Author(s):  
Ernest Šturdík ◽  
Marián Antalík ◽  
Pavol Sulo ◽  
Štefan Baláž ◽  
Edita Ďurčová ◽  
...  
Keyword(s):  
Reaction Kinetics ◽  
Rate Constants ◽  
Simple Relation ◽  
Second Order ◽  
Spectrophotometric Investigation ◽  
Hammett Constants ◽  
Similar Dependence ◽  
Kinetics Of ◽  
Derivatives Of

Data required for characterization of reactivity of ortho-, meta-, and para-substituted derivatives by first and second order rate constants were obtained from spectrophotometric investigation of reaction kinetics of phenylhydrazonopropanedinitriles with model thiols. The reactivity has been found to be linearly dependent on Hammett constants of substituents. Similar dependence revealed the basicity characterized by pKa values determined spectrophotometrically. Whilst reactivity and basicity of meta- and para-substituted derivatives is dependent, ortho-substituted derivatives did not obey any simple relation between reactivity and basicity. This finding is important for utilization of ortho-derivatives of phenylhydrazonopropanedinitrile when studying the uncoupling effect of these substances upon oxidative and photosynthetic phosphorylation.

Impact Of Synthesis Route on the Water Oxidation Kinetics of Hematite Photoanodes

2020 ◽  
Author(s):  
Camilo A. Mesa ◽  
Ludmilla Steier ◽  
Benjamin Moss ◽  
Laia Francàs ◽  
James E. Thorne ◽  
...  
Keyword(s):  
Oxygen Vacancy ◽  
Reaction Kinetics ◽  
Water Oxidation ◽  
Oxidation Kinetics ◽  
Oxidation Reaction ◽  
Charge Accumulation ◽  
Optical Signals ◽  
Current Voltage ◽  
Voltage Performance ◽  
Kinetics Of

<p><i>Operando</i> spectroelectrochemical analysis is used to determine the water oxidation reaction kinetics for hematite photoanodes prepared using four different synthetic procedures. Whilst these photoanodes exhibit very different current / voltage performance, their underlying water oxidation kinetics are found to be almost invariant. Lower photoanode performance was found to correlate with the observation of optical signals indicative of charge accumulation in mid-gap oxygen vacancy states, indicating these states do not contribute directly to water oxidation.</p>

Chemical Analysis and Reaction Kinetics of EA-2192 in Decontamination Solution for the MMD-1 Project

2003 ◽  
Author(s):  
David J. McGarvey ◽  
H. D. Durst ◽  
William R. Creasy ◽  
Jill L. Ruth ◽  
Kevin M. Morrissey
Keyword(s):  
Chemical Analysis ◽  
Reaction Kinetics ◽  
Kinetics Of ◽  
Decontamination Solution
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