intrinsic rate constant
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Catalysts ◽  
2021 ◽  
Vol 11 (10) ◽  
pp. 1190
Author(s):  
Fernando J. Beltrán ◽  
Francisco J. Rivas ◽  
Juan F. García-Araya

One of the difficulties of establishing the intrinsic kinetics of photocatalytic oxidation processes is due to the complex mathematical formula used to determine the rate of photon absorption. To solve this problem, some models have been proposed and checked, such as the Six Flux Model (SFM) confirmed in central lamp photoreactors. External lamp photoreactors are also one of the most used configurations to study the photocatalytic oxidation of contaminants in water, and complex mathematical solutions have been reported to solve the rate of photon absorption. In this work, SFM Equations already reported for the central lamp photoreactor have been adapted to determine the rate of photon absorption in an external four-lamp photoreactor. The results obtained show slight differences from those of the Monte Carlo method. Additionally, once the rate of photon absorption was validated, the intrinsic rate constant and scavenging factor of the photocatalytic oxidation of some contaminant compounds from results already published have been determined.


Author(s):  
Ikechukwu I. Udema

Background: There is a need for equations with which to calculate the intrinsic rate constants that can further characterise enzyme catalysed reactions despite what seems to be conventional differences in methodology in the literature. Methods: Theoretical, experimental (Bernfeld method), and computational methods. Objectives: 1) To derive an alternative intrinsic rate constant equations consistent with their dimension, 2) derive electrostatic intermolecular potential energy equation, (xe), 3) calculate the intrinsic rate constants for forward (k1) and reverse (k2) reactions, and 4) define the dependence or otherwise of kinetic constants on diffusion and deduce the catalytic efficiency. Results and Discussion: The ultimate quantitative results were ~ 64.69 ±  0.49 exp (+3)/ min (k2) (and kd (s) = ~ 60.66 exp (+3)/ min), ~ 1594.48 ± 11.99 exp (+3) exp (+3) L/mol.min (k1) (and ka (s) = ~1482.47 exp (+3) L/mol.min), ~ 58.00 ± 10.83 exp (+3) /min, the apparent rate constant for reverse reaction (kb), and ~ 75.83 ± 10.83 exp (+3) /min, the rate constant for product formation (k3). The catalytic efficiency was: 3.025 exp (+ 9) L / mol.     Conclusion: The relevant equations were derived. Based on the derived equations the intrinsic rate constants can be calculated. Since k3 is > kb, then k3 is diffusion controlled and it appears that the enzyme has reached kinetic perfection. The evaluation of rate constants either from the perspective of diffusion dependency or independency cannot be valid without Avogadro number.


2018 ◽  
Vol 82 (4) ◽  
pp. 939-942 ◽  
Author(s):  
Claire. L. Corkhill ◽  
Adam J. Fisher ◽  
Denis M. Strachan ◽  
Russell J. Hand ◽  
Neil C. Hyatt

AbstractWe revise the data fitting in our original paper [The dissolution rates of simulated UK Magnox - ThORP blend nuclear waste glass as a function of pH, temperature and waste loading, Miner. Mag.79 (2015) 1529–1542]. The intrinsic rate constant data were calculated incorrectly, the corrected data are presented herein. To support the corrected analysis we have also taken the opportunity to report some additional 90°C data. The conclusions of the original paper remain sound.


2008 ◽  
Vol 86 (3) ◽  
pp. 225-229 ◽  
Author(s):  
Basim H.M. Asghar ◽  
Michael R Crampton ◽  
Chukwuemeka Isanbor

1H NMR studies in [2H6]-DMSO show that the carbanion 4 from bis(phenylsulfonyl)methane reacts with 4,6-dinitrobenzofuroxan to yield a σ-adduct that undergoes base-catalysed elimination to yield an alkene derivative. Rate constants, measured spectrophotometrically, are reported for the corresponding reactions in methanol of 4 with 4-nitrobenzofurazan and some derivatives that give adducts at the 5-position. The intrinsic rate constant, ko, for this process has a value of 1.5 ± 0.5. The 5-adducts undergo methoxide-catalysed elimination of phenylsulfinic acid to yield alkene derivatives and rate constants for this process are reported.Key words: carbanions, 4-nitrobenzofurazan, σ-adducts, elimination reactions.


2003 ◽  
Vol 374 (2) ◽  
pp. 369-380 ◽  
Author(s):  
Omid HEKMAT ◽  
Ken TOKUYASU ◽  
Stephen G. WITHERS

The endo-type chitin deacetylase (EC 3.5.1.41) from a Deuteromycete, Colletotrichum lindemuthianum (ATCC 56676), catalyses the hydrolysis of the acetamido group of GlcNAc (2-acetamido-2-deoxy-d-glucose) residues in chitin or chito-oligosaccharides with a degree of polymerization (n) equal to or greater than 2. The steady-state kinetic parameters for the initial deacetylation reactions of (GlcNAc)2–6 were determined using a direct, continuous spectrophotometric assay in combination with ESI-MS (electrospray ionization MS) analysis of the products. The dependence of the observed Km and kcat/Km on n suggests the presence of four enzyme subsites (−2, −1, 0 and +1) that interact with GlcNAc residues from the non-reducing end to the reducing end of the substrate. The turnover number (kcat, 7 s−1) is independent of n and represents the intrinsic rate constant (kint) for the hydrolysis of the acetamido group in subsite 0. The subsite affinities for the GlcNAc residues were calculated from the observed kcat/Km values (A−2, −11.0; A−1, −1.5; A0, −7.7; A+1, −12.5 kJ·mol−1). The increments in the subsite affinities due to the recognition of the acetamido groups were calculated [ΔΔG(N-acetyl)=3.3, 0, 4.0 and 0 kJ·mol−1 for subsites −2, −1, 0 and +1 respectively]. The steady-state kinetic parameters for the second deacetylation reaction of (GlcNAc)4 were also determined using (GlcNAcGlcNAcGlcNGlcNAc) as the substrate. The comparison of the experimental and theoretical values (calculated using the subsite affinities) suggests that the mono-deacetylated substrate binds strongly in a non-productive mode occupying all four subsites, thereby inhibiting the second deacetylation reaction.


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