Kinetic analysis of an extended single-path sequence of first-order reactions. The reaction of mesitonitrile in sulfuric acid

The system of a sequence of five first-order reactions, A → B → C → D → E → F, has been analyzed kinetically. An actual example is proposed in the reaction of mesitonitrile in 89.8% (w/w) sulfuric acid at 98.3°C. The analysis provides estimates of concentration ratios as functions of time, and the progress of the buildup and decay of the intermediate species can be monitored. The kinetics have been measured for the hydration of mesitonitrile, the hydrolysis of mesitamide, and the sulfonation of mesitylenesulfonic acid in 89.8% sulfuric acid. The calculated values of the concentration ratios of mesitylenedisulfonic acid as a function of time were satisfactorily close to those found in experiment.     

A dual-path sequence of first-order reactions the protiodeacylation of acetylpropionylmesitylene

An example of a sequence of competing first-order reactions, leading to a common product, has been found for the sulfodeacylation of acetylpropionylmesitylene. The basic reaction scheme is Scheme l and a kinetic analysis of the component rate constants allows an estimate to be made of the concentrations of the reactant and products as a function of time. In the present system the total concentration of the intermediates B, C, and D never exceeds 0.26% at 25°C, and therefore the kinetics, which were followed spectrophotometrically, were essentially of the conversion of substrate A to the final product E. The kinetics of protiodeacylation have been measured, over a range of temperatures, of propionyl-, dipropionyl-, and acetylpropionylmesitylenes in 89.8% (w/w) sulfuric acid.     

Unsaturated dicarboxylic acids as substrates in oscillating reactions involving bromate, sulfuric acid and a catalyst

A new type of homogeneous oscillating reaction has been observed in the potassium bromate-acetylenedicarboxylic acid-ferroin-sulfuric acid system. This proves that the presence of an active methylene group is not a necessary condition for oscillating reactions involving carboxylic acids. Malonic acid can be partly replaced by maleic and fumaric acid in the Belousov reaction. Under the mild experimental conditions of the oscillating reaction, maleic acid undergoes isomerization to fumaric acid.

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Kinetics, selectivity, and mechanism of the reactions of arenes with adamantyl carbocations in sulfuric acid

Data on the kinetics, selectivity, kinetic isotope effect, and the effect of the acidity of the medium on the rate of the reactions of benzene and alkylbenzenes in sulfuric acid (59–78 wt.% H₂SO₄) solutions of 1-adamantanol at 30 °C indicate that the direct reagents are the adamantyl carbocations (Ad⁺) that alkylate the arenes. The ortho positions of the benzene ring are not accessible on account of steric hindrances. The rate of attack by the Ad⁺ cation on the accessible para and meta positions of the ring is controlled by the formation of a σ complex. __________ Translated from Teoreticheskaya i éksperimental’naya Khimiya, Vol. 42, No. 1, pp. 14–18, January–February, 2006.     

Synthesis and application of modified silica sulfuric acid as a solid acid heterogeneous catalyst in Michael addition reactions

Modified silica sulfuric acid (MSSA) as a new type of silica sulfuric acid was prepared and effectively used in the conjugate addition of indole, pyrrole, and thiols with Michael acceptors under mild conditions at room temperature. Also, MSSA was used as a catalyst for the synthesis of 1,1,3‐tri‐indolyl compounds in good to excellent yield at room temperature. J. Heterocyclic Chem., (2011).     

Kinetic analysis of sequence of two consecutive reactions from thermogravimetric data under non-isothermal conditions. I. Calculated thermograms

This paper suggests a method of drawing the thermogram of a sequence of two consecutive, partially overlapping processes of a given order, run under non-isothermal conditions.     

Citric acid oxidation by vanadium(V) in sulfuric acid medium: Kinetic and mechanistic study

The citric acid oxidation by vanadium(V) in sulfuric acid medium at 303 K is reported. The reaction rate was determined spectrophotometrically by monitoring the formation of vanadium(IV) at 760 nm. The oxidation showed a first‐order dependence with respect to vanadium(V) concentration and fractional order with respect to citric acid concentrations, with no control and with constant ionic strength. The reaction is also first order with respect to sulfuric acid concentration with no control and of fractional order at constant ionic strength. The reaction rate is enhanced by an increase of ionic strength and increased by a decrease of the dielectric constant. The activation parameters were calculated based on the rate constants determined in the 293 to 313 K interval. The proposed oxidation mechanisms and the derived rate laws are consistent with the experimental rate laws. © 2000 John Wiley & Sons, Inc. Int J Chem Kinet 32: 566–572, 2000     

Hamiltonian dynamics of chemical reactions. Consecutive first-order reactions and reactions possessing one autocatalytic intermediate

A recently proposed Hamiltonian approach to phenomenological chemical kinetics [T. Georgian and G.L. Findley, Int. J. Quantum Chem., Quantum Biol. Symp. 10 , 331 (1983); T. Georgian, J.M. Halpin, and G.L. Findley, Int. J. Quantum Chem., Quantum Biol. Symp. 11 , 347 (1984)] is applied to all consecutive first-order, single-step reactions, and to all reactions possessing one autocatalytic intermediate. The reaction Hamiltonians presented are shown to be consistent with the phenomenological rate equations and the relationship between reaction form and the form of the reaction potential is discussed. In particular, we show: (1) that the interaction between consecutive reactions manifests itself as a coupling term in the reaction potential, a term which may be eliminated via transition to “normal reaction coordinates” for the chemical system; and (2) that coupled sets of autocatalytic reactions give rise to coupling terms in the reaction Hamiltonian which are characteristic of the reaction mechanism.     

Consecutive,irreversible first-order reactions. Ambiguities and practical aspects of kinetic analyses

The general problem of eliciting reliable rate constants from experimental data is considered in detail for consecutive reactions. Practical aspects are emphasized.     

Kinetic and mechanistic aspects for the tartaric acid oxidation by vanadium(V) in sulfuric acid medium

Tartaric acid oxidation by vanadium(V) in sulfuric acid medium was investigated spectrophotometrically at 760 nm and 30°C by appearance of the vanadium(IV), as vanadyl. The reaction rate was determined under pseudo-first-order conditions with an excess of hydroxyacid over the oxidant concentration. The oxidation showed a first-order dependence with respect to vanadium(V) concentration and fractional orders with respect to tartaric acid and sulfuric acid concentrations, with no control and with constant ionic strength. The reaction rate is enhanced by an increase of ionic strength, and slightly reduced by a decrease of the dielectric constant of the medium. The activation parameters were calculated based on the rate constants determined in the 293 to 313 K interval. The proposed oxidation mechanisms and the derived rate laws are consistent with the experimental rate laws. © 1998 John Wiley & Sons, Inc. Int J Chem Kinet: 30: 55–61, 1998.     

Uncatalysed oscillatory chemical reactions. Oxidation of 1,4-cyclohexanedione by bromate in sulfuric or nitric acid solution

Uncatalysed oxidation of 1,4-cyclohexanedione by acidic bromate has been found to generate chemical oscillations with very interesting features. Moreover this new oscillating reaction can take place in a sulfuric as well as in a nitric acid solution.     

Theoretical treatment of first-order reversible reactions occurring in a chromatographic reactor, on the basis of consecutive reactions

Summary Analytical peak-shape equations were derived for first-order reversible reactions occurring in a chromatographic reactor by treating the reversible reactions as consecutive reactions with alternating products. The results of the analytical peak-shape equations were compared with those from a numerical solution of the partial differential equation system modeling the chromatographic reactor. For small to medium conversions the correspondence was found to be sufficiently close to enable substitution of the numerical solution in fitting procedures for the determination of rate constants. Presented at the 21^st ISC held in Stuttgart, Germany, 15^th–20^th September, 1996     

Neutron powder diffraction studies of sulfuric acid hydrates. II. The structure, thermal expansion, incompressibility, and polymorphism of sulfuric acid tetrahydrate (D2SO4.4D2O)

We report results of the first neutron powder diffraction study of sulfuric acid tetrahydrate (SAT); D(2)SO(4)4D(2)O is tetragonal, space group P42(1)c, with two formula units per unit cell. At 1.7 K the unit-cell dimensions are a=b=7.475 12(6) A, c=6.324 66(5) A and V=353.405(5) A(3). At 225 K the unit-cell dimensions are a=b=7.4833(1) A, c=6.4103(1) A, and V=358.98(1) A(3). The deuteron positions refined from the neutron data are in excellent agreement with the single crystal x-ray analysis of Kjallman and Olovsson [Acta Crystallogr., Sect. B: Struct. Crystallogr. Cryst. Chem. B28, 1692 (1972)]; the structure consists of SO(4) (2-) and D(5)O(2) (+) ions hydrogen bonded to form a three dimensional network. Although no structural change is observed between 2 K and the melting point at approximately 232 K, the thermal expansion and incompressibility of the crystal are highly anisotropic. The bulk modulus of SAT at 200 K is 9.2(2) GPa, ( partial differentialK partial differentialP)(T)=7.9(8), and -( partial differentialK partial differentialT)(P)=10.6(5) MPa K(-1), values which are very similar to D(2)O ice Ih. A new polymorph of SAT has been discovered above 235 K at 5.5 kbars. The structure of this phase could not be determined, but we have indexed the diffraction pattern with a monoclinic unit cell of likely space-group P2(1)a (Z=2). SAT-II has a lower density than SAT-I under the same PT conditions; the refined unit-cell parameters at 235 K, 5.435 kbars are a=6.1902(3) A, b=11.1234(5) A, c=5.6446(3) A, beta=110.287(4) degrees , and V=364.56(2) A(3). This phase has been quenched to low pressures and temperatures, and we have obtained estimates of the thermal expansivity and incompressibility which reveal SAT-II to be significantly stiffer and more isotropic than SAT-I.     

Surface reactions of chlorine molecules and atoms with water and sulfuric acid at low temperatures

Reactions of chlorine-containing species are of great current interest, particularly in reference to possible stratospheric ozone depletion. We have been investigating the potential role of heterogeneous reactions of these species with stratospheric aerosols. Here we wish to report on the results of a study of the interactions of Cl atoms and Cl₂ with H₂SO₄ and H₂O, the dominant components of stratospheric aerosols, at low temperature using X-ray photoelectron spectroscopy (XPS). It appears that chlorine atoms and molecules form chloride ion and higher oxidation states of chlorine upon reacting with cooled surfuric acid surfaces while only chloride ion forms with ice. To test the validity of the chlorine oxidation assignment, an XPS study was also made of chlorine in its various oxidation states as found in the chlorides, hypochlorites, chlorites, chlorates, and perchlorates of sodium, potassium, and calcium. Possible mechanisms by which chlorine changes its oxidation state on contact with H₂SO₄ glasses are discussed.     

Kinetic analysis of consecutive reactions using TG and DSC techniques

A complex mechanism of thermal degradation processes was postulated for the reaction type , and a theoretical analysis of DTG and DSC curves was followed by corresponding mathematical simulation. In this scheme, compoundS represents a volatile product (e.g. gas and/or vapor), which is a necessary assumption in order to explain the differences in results which can arise after the kinetic analysis of DTG and DSC experimental data.Mathematical simulation was performed with different values of the Arrhenius parameter for both reaction rate constants (k ₁, andk ₂) in the range 83.1–291.0 kJ/mol for the activation energy and with corresponding values for the frequency factor (10⁵–10¹⁹ min^–1). The influence of endothermic heat effects (50–200 kJ/mol) in the reactionsAE andRS was also investigated. The calculated rates of mass and heat change (DTG and DSC), for different heating rates, showed that the maximum values of the two curves are reached at different temperatures. The non-uniformity of the DTG and DSC maxima depends on the difference between the values of the reaction rate constants and their temperature sensitivities (E ₁ andE ₂) and also on the heating rate.The theoretical analysis performed demonstrated the possibility of determining the reaction rate parameters (k ₁ andk ₂) in the case of consecutive first-order reactions, by using simultaneous TG and DSC analysis.The proposed theoretical analysis is supported by experimental DTG/DSC data concerning the pyrolysis of oil shale, which were interpreted in terms of consecutive reactions.

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Zusammenfassung Unter Annahme eines komplexen Mechanismus für thermische Abbauprozesse wurde für den Reaktionstyp eine theoretische analyse von DTG- und DSC-Kurven, gefolgt von einer entsprechenden mathematischen Simulation durchgeführt. Hier stellt die VerbindungS ein flüchtiges Produkt dar (lias oder Dampf), was eine notwendige Bedingung zur Erklärung von unterschiedlichen Ergebnissen nach der kinetischen Analyse der experimentellen DTG- und DSC-Daten ist. Bei der mathematischen Simulation wurden unterschiedliche Arrheniusparameterwerte benutzt, für beide Reaktionsgeschwindigkeitskonstanten (k₁ und k₂) in einem Intervall von 83,1–291,0 kJ/mol für die Aktivierungsenergie sowie unter Anwendung entsprechender Frequenzfaktoren (10⁵–10¹⁹ min^–1). Für die ReaktionenA R undR S wurde auch der Einfluß von endothermen Wärmeeffekten (50–200 kJ/mol) untersucht. Die berechneten Geschwindigkeiten für die Veränderung von Masse und Wärme (DTG und DSC) bei verschiedenen Aufheizgeschwindigkeiten zeigen, daß beide Kurven ihr Maximum bei unterschiedlichen Temperaturen erreichen. Die Ungleichmäßigkeit der DTG- und DSC-Maxima basiert auf den unterschiedlichen Werten der Reaktionsgeschwindigkeitskonstanten, deren Temperaturempfindlichkeit (E ₁ undE ₂ und hängt auch von der Aufheizgeschwindigkeit ab. Die durchgeführte theoretische Analyse zeigt, daß es mit Hilfe simultaner DTG- und DSC-Untersuchungen möglich ist, im Falle konsekutiver Reaktionen erster Ordnung die Reaktionsgeschwindigkeitsparameter (k ₁ undk ₂) zu bestimmen. Das vorgeschlagene theoretische Analysenverfahren wird am Beispiel der experimentellen DTG/DSC-Daten der Pyrolyse von Ölschiefer und Anwendung konsekutiver Reaktionen illustriert.

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. S (. ), , . ( _{1 2}) 83,1–291,0 · ^–1 (10⁵–10^{19 –1}). (50–200 ·^–1) AR RS. ( ) , . (E ₁ E ₂), . , ₁, ₂ . / , .

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The authors are greatful for financial support to the KFA International Bureau D-5170 Jülich on the German side, and to the Research Fund of the Belgrade Region Business Association for the Exploration, Production and Exploitation of Oil Shales, Belgrade, and SOUR Jugopetrol, Belgrade on the Yugoslavian side.     

Theory of a.c. voltammetry at a rotating disk electrode: Part III. Redox-electrode reactions coupled with first-order chemical reactions

A theory of a.c. voltammetry at a rotating disk electrode is developed for systems with coupled first-order chemical reactions. A general expression for a.c. waves, together with that for d.c. waves, is derived. It is shown that the effect of hydrodynamics on the phase angle is negligible under the condition of p≤0.35, where p is a parameter defined by the frequency of of a.c. wave, the rotation speed of the electrode and Schmidt number.     

Kinetic analysis of a sequence of two consecutive reactions from thermogravimetric data under non-isothermal conditions. Part II. Dehydration of CuSO4 · 5 H2O

The thermal decomposition of CdSiAs₂ in vacuum was undertaken in order to deposit this film of potential photovoltaic and other electronics applications. A model for the evaporation process is presented which predicts a cubic time dependence of the film deposition process. The experimental deposition process approximated the cubic law. Deviations from it are attributed to the stepwise nature of the process: a film of SiAs is deposited, followed by the deposited of silicon.     

The chemiluminescence of rare earth elements in sulfuric acid

It has been found that solutions of oxides of the rare earth elements (REE) in sulfuric acid exhibit chemiluminescence in the visible and ultraviolet ranges on interaction with the products of the electrolysis of H₂SO₄. Analysis of the luminescence fading curve shows that the process leading to deexcitation obeys a bimolecular law and its linear anamorphosis can be represented on coordinates I^–1/2 and t. The problem of the possible mechanism of the process involving the participation of S*O_4– ion-radicals is examined. A comparison is made with the known luminescence of the REEs, and possible explanations are put forward for the chemiluminescence of those REEs which are generally assumed to exhibit no luminescence.