A mathematical analysis of concurrent reactions. Quantative kinetics of a first-order-mixed second-order reaction system

1967 ◽  
Vol 71 (9) ◽  
pp. 3053-3055 ◽  
Author(s):  
John A. Markisz ◽  
Joseph D. Gettler
1983 ◽  
Vol 48 (11) ◽  
pp. 3279-3286
Author(s):  
Slavko Hudeček ◽  
Miloslav Bohdanecký ◽  
Ivana Hudečková ◽  
Pavel Špaček ◽  
Pavel Čefelín

The reaction between hexamethylenediisocyanate and 1-pentanol in toluene was studied by means of reversed-phase liquid chromatography. By employing this method, it was possible to determine all components of the reaction mixture including both products, i.e. N-(6-isocyanate hexyl)pentylcarbamate and N,N'-bis(pentyloxycarbonyl)hexamethylenediamine. Relations for the calculation of kinetic constants were derived assuming a competitive consecutive second-order reaction. It was demonstrated that the reaction involved in this case is indeed a second-order reaction, and the rate constants of the first and second consecutive reactions were determined.


2000 ◽  
Vol 65 (12) ◽  
pp. 857-866
Author(s):  
Mladjen Micevic ◽  
Slobodan Petrovic

The alcoholysis of 1,2,2-trimethylpropyl-methylfluorophosphonate (soman) was examined with a series of alkoxides and in corresponding alcohols: methanol, ethanol, 1-propanol, 2-propanol, 2-methoxyethanol and 2-ethoxyethanol. Soman reacts with the used alkoxides in a second order reaction, first order in each reactant. The kinetics of the reaction between 1,2,2-trimethylpropyl-methylfluorophosphonate and ethanol in the presence of diethylenetriamine was also examined. A third order reaction rate constant was calculated, first order in each reactant. The activation energy, frequency factor and activation entropy were determined on the basis of the kinetic data.


2007 ◽  
Vol 129 (2-3) ◽  
pp. 289-297 ◽  
Author(s):  
Elżbieta Błachut-Okrasińska ◽  
Elżbieta Bojarska ◽  
Janusz Stępiński ◽  
J.M. Antosiewicz

1930 ◽  
Vol 3 (4) ◽  
pp. 650-659
Author(s):  
John T. Blake

Abstract A procedure for the determination of combined selenium in rubber has been evolved. The rate of combination of selenium and rubber has been ascertained under certain conditions and shown to follow a first-order equation. A minimum value for the molecular weight of rubber has been estimated. The formation of hard rubber under chosen experimental conditions has been put on a mathematical basis and has been shown to follow a second-order reaction. The soft- and hard-rubber reactions have been shown qualitatively to be successive reactions and the function of accelerators has been discussed. The theory explains the anomalous results obtained by previous investigators.


1982 ◽  
Vol 47 (8) ◽  
pp. 2077-2086
Author(s):  
Peter Talán ◽  
Juraj Mucha

Thermodynamics and kinetics of the reaction between thyroxine and antithyroxine antiserum has been studied using the concentration and temperature conditions usual in the radioimmunoanalysis. The reaction is assumed to be homogeneous and of the second order. Because of the initial concentrations of thyroxine and of the free bonds of the heterogeneous population of antibodies present in the used antiserum the rate constant equation for second-order reaction has been used in the integrated form. The relative rate constants have been obtained and the activation energy of the reaction in absence of the serum proteins in the reaction mixture or, respectively, in the presence of the euthyroidic serum has been calculated. The nature of the effect of so-called deblockators (J) (8-anilino-1-naphthalene sulphonic acid and tiomersal) on the reaction rate and on the change of the reaction enthalpy (or entropy) has also been investigated. The association constant of this reaction has been evaluated from the radioimmunoanalytical data transformed by the Scatchard relation, modified for the conditions of thyroxine radioimmunoanalysis.


2012 ◽  
Vol 472-475 ◽  
pp. 1837-1840
Author(s):  
Peng Fei Yang

The urethane reaction kinetics of 1,2-propanediol and 1,3-butanediol with phenyl isocyanate are investigated in toluene. In-situ FT-IR is used to monitor the reaction to work out rate constant. The urethane reaction has been found to be a second order reaction and is largely accelerated with triethylamine as catalyst. Furthermore, the rate constants are different between initial stage and final stage when triethylamine is used as catalyst, which belongs to different hydroxyls in asymmetry diol. However, when there is no catalyst in the reaction system, the rate constant is the same. That is, there is no reactivity difference for hydroxyls in asymmetry diol. Moreover, 1,3-butanediol is more active than 1,2-propanediol when reacting with isocyanate.


1969 ◽  
Vol 47 (6) ◽  
pp. 873-877 ◽  
Author(s):  
Paul Allen Jr. ◽  
Patrick J. Conway

The sulfur–sulfur bond of α-disulfones is attacked by hydroxide ion in alcohol to yield sulfinate and sulfonate ion by a second-order reaction, first order in each of the reactants. With aromatic disulfones the ρ value of the Hammett equation is 0.2. The Arrhenius activation energy of the reaction of p-tolyl disulfone is 7.95 kcal/mole.


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