951 resultados para random first-order transition


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Ce4+ extraction rate from aqueous sulphate solutions by Cyanex923 in heptane was studied using a constant interfacial cell with laminar flow at 30 degreesC. The experimental hydrodynamic conditions were chosen and the contribution of diffusion to the measured rate of reaction was minimized. Cerium extraction rate was measured at different chemical composition by varying the concentrations of hydrogen ion, sulphate and Cyanex923. A cerium-Cyanex923(B) extractive is formed at the interface. The data were analyszed in terms of pseudo-first order constants and a reaction mechanism was developed.

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Stereospecific polymerization of styrene was catalyzed by homogeneous neodymium phosphonate [Nd(P-507)(3)]-H2O-Al(i-Bu)(3) catalytic system. The polymer was separated into isotactic polystyrene and atactic polystyrene by extracting the latter with boiling 2-butanone. The conversion of styrene and the yield of isotactic polystyrene (IY) were influenced by the [H2O]/[Al(i-Bu)(3)] mole ratio and the solvent polarity. The reaction is first order with respect to monomer at 70 degrees C.

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Oxidative dehydroaromatization of propylene was investigated by the pulse technique over two kinds of single oxide catalysts. With the Bi2O3 catalyst, the main dimer product was 1,5-hexadiene, and the dimerization activity was stable to pulse number even if the catalyst was partly reduced to the bulk. With the CeO2 catalyst, benzene was mainly formed instead of 1,5-hexadiene, but the activity decreased rapidly with increasing pulse number, indicating that only the lattice oxygen near the catalyst surface could be used for oxidative dimerization and the further aromatization. The Bi-Ce-O system catalyst was found in this study to give higher aromatization activity and showed better stability, compared to the Bi-Sn-O catalyst. Although the Bi-Ce-O catalyst was only a mixture of the two component oxides from X-ray diffraction analysis, there was a significant combination effect on the selectivity to benzene. The highest and the most stable selectivity of benzene was obtained at Bi/Ce = 1. In the TPD spectrum of Bi-Ce-O catalyst, there are not only the lattice oxygen (beta-oxygen) over 620-degrees-C due to the reduction of Bi2O3, but also a great deal of the alpha-oxygen desorbed about 400-degrees-C, which is considered the absorbed oxygen in the bulk. This absorbed oxygen could probably be a compensation of the lattice oxygen through the route of gaseous --> absorbed --> lattice oxygen in the binary catalyst system. By the kinetic study on the Bi-Ce-O catalyst, the dimer formation rate was the first-order with respect to the partial pressure of propylene and zero-order of oxygen. Although detail investigation would be made further, it was considered that the complete oxidation of propylene would mainly take place parallelly on some different sites, and the rate-determining step of propylene dimerization occurred probably between an adosrbed propylene and a gaseous one by an Eley-Rideal type mechanism.

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The at constants of catalytic reaction of ferrocyanide ascorbic acid and ferro cyanide histidine system were determined by transmitted spectroelectrochemistry using a group of cyclindrical microelectrodes, It is the first time to find that the reaction can still be considered as the pseudo first order reaction when tilt concentration of ascorbic acid or histidine is close to and even slightly lower than the concentration of ferrocyanide. The determined rate constants are in agreement with the reported values, A reasonable explanation was given,

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Transmittance spectroelectrochemistry can be performed using a group of cylindrical microelectrodes. A dependence of absorbance on electrolytic charge during the potential step was derived. The rate constant of catalytic reaction of the ferrocyanide-ascorbic acid system was determined using single potential step-open circuit relaxation chronoabsorptometry. This is the first report that the reaction can still be considered as a pseudo-first-order reaction when the concentration of ascorbic acid is close to and even slightly lower than the concentration of ferrocyanide. The determined rate constant is in agreement with the reported value. The reason is that the diffusion of ascorbic acid toward electrode surface is contractive and the diffusion of the electrogenerated ferricyanide from the electrode surface to the bulk of solution is expansive.

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In this paper, we present an exact solution for nonlinear shallow water on a rotating planet. It is a kind of solitary waves with always negative wave height and a celerity smaller than linear shallow water propagation speed square-root gh. In fact, it propagates with a speed equal to (1 + a/h) square-root gh(1 + a/h) where a is the negative wave height. The lowest point of the water surface is a singular point where the first order derivative has a discontinuity of the first kind. The horizontal scale of the wave has actually no connection with the water depth.