• Title/Summary/Keyword: order of reaction

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PERIODIC SOLUTION TO DELAYED HIGH-ORDER COHEN-GROSSBERG NEURAL NETWORKS WITH REACTION-DIFFUSION TERMS

  • Lv, Teng;Yan, Ping
    • Journal of applied mathematics & informatics
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    • v.28 no.1_2
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    • pp.295-309
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    • 2010
  • In this paper, we study delayed high-order Cohen-Grossberg neural networks with reaction-diffusion terms and Neumann boundary conditions. By using inequality techniques and constructing Lyapunov functional method, some sufficient conditions are given to ensure the existence and convergence of the periodic oscillatory solution. Finally, an example is given to verify the theoretical analysis.

Adsorption and Oxidation Reaction Rate of $SO_2$ in Slurries of Activated Carbon (활성탄 슬러리를 이용한 $SO_2$ 가스의 흡착 및 산화반응 속도)

  • 최용택;신창섭;이태희
    • Journal of Korean Society for Atmospheric Environment
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    • v.3 no.1
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    • pp.41-46
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    • 1987
  • Adsorption and reaction studies were made for the catalytic oxidation in aqueous slurries of activated carbon at room temperature and atmospheric pressure. In order to analyze the reaction rate, the mechanism was assumed by the steps of nonhomogeneous catalytic reaction. The experimental result show that oxidation rate was controlled by the reaction between adsorbed molecular oxygen and sulfur dioxide on the catalyst surface. Ar room temperature, the equat5ion of reaction rate was given as $ro_2 = 2.49 \times 10^{-7} P_O_2^{0.604}$.

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Reaction of Di-s-butoxyborane in Tetrahydrofuran with Selected Organic Compounds containing Representative Functional Groups. Catalytic Effect of Tetraalkoxyborate on the Reaction of Dialkoxyborane$^\dag$

  • Cha, Jin-Soon;Lee, Jae-Cheol;Kim, Jin-Euog;Lee, Kwang-Woo;Yoon, Mal-Sook
    • Bulletin of the Korean Chemical Society
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    • v.8 no.4
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    • pp.304-310
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    • 1987
  • The approximate rate and stoichiometry of the reaction of excess di-s-butoxyborane with selected organic compounds containing representative functional groups under standardized conditions (tetrahydrofuran, $25^{\circ}C)$ were examined in order to define the characteristics of the reagent for selective reductions. And the catalytic effect of lithium tetra-s-butoxyborate on the reaction of di-s-butoxyborane was also studied in order to increase the utility of this reducing system. Di-s-butoxyborane reacts only with simple aldehydes. However the addition of 2.5 mole % of lithium tetra-s-butoxyborate shows the tremendous rate enhancement of reaction for aldehydes, ketones, anhydrides, acid chlorides, lactones, and epoxides. This catalytic effect is assumed to in situ formation of lithium trialkoxyborohydride.

Study on Neutralization Progress Model of Concrete with Coating Finishing Materials in Outdoor Exposure Conditions Based on the Diffusion Reaction of Calcium Hydroxide

  • Park, Jae-Hong;Hasegawa, Takuya;Senbu, Osamu;Park, Dong-Cheon
    • International Journal of Concrete Structures and Materials
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    • v.6 no.3
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    • pp.155-163
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    • 2012
  • In order to predict the neutralization of concrete which is the reaction of carbonation dioxide from the outside and cement hydration product, such as calcium hydroxide and C-S-H, it was studied the numerical analysis method considering change of the pore structure and relative humidity during the neutralization reaction. Diffusion-reaction neutralization model was developed to predict the neutralization depth of concrete with coating finishing material. In order to build numerical analysis models considering outdoor environment and finishing materials, the adaption of proposed model was shown the results of existing outdoor exposure test results and accelerated carbonation test.

Catalytic Activity Studies in Transesterification Reaction (에스테르 교환반응(交換反應)의 촉매활성(觸媒活性)에 관(關)한 연구(硏究))

  • Park, Keun-Ho;Kim, Dong-Shik;Jeong, Soon-Wook
    • Journal of the Korean Applied Science and Technology
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    • v.7 no.1
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    • pp.71-76
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    • 1990
  • Transesterification reactions (methyl methacrylate with monoethanolamine, methyl methacrylate with n-butyl alcohol, dimethylphthalate with ethylene glycol, dimethyl phthalate with monoethanolamine) were kinetically investigated in the presense of various metal acetate catalysts at $110^{\circ}C$. The amount of reactants was measured by gas and liquid chromatography, and the reaction rates also measured from the amount of reaction products and reactants upon each catalyst. The transesterification reactions were carried out under the first order conditions respect to the concentration of reactants, respectively. The overall reaction order was 2nd, Maximum reaction rates were appeared at the range of 1.4 to 1.6 in electronegativity of metal ions and maximum catalytic activities were obserbed at the range of 1.5 to 1,8 in instability constant of metal acetates.

The Effect of Anion Catalysts in Transesterification Reaction (에스테르 교환반응(交渙反應)에서 음(陰)이온 촉매(觸媒)의 영향(影響))

  • Park, Keun-Ho
    • Journal of the Korean Applied Science and Technology
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    • v.9 no.2
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    • pp.141-148
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    • 1992
  • Transesterification reactions (methyl methacrylate with diethanolamine, ethylene glycol with dimethylphthalate) were kinetically investigated in the presence of zinc compound catalysts at $120{\sim}170^{\circ}C$ The amount of reactants was measured by gas chromatography. and the reaction rates also measured from the amount of reaction products and reactants upon each catalyst. The transesterification reactions were carried out under the first order conditions respect to the concentration of reactants, respectively, The overall reaction order was 2nd. The apparent rate constant (k') was found to obey first kinetics with respect to the concentration of catalyst. It shows that according to an increase in basicity of anionic species the rate constant increase, and that a linear relationship exists between ln k and pKa in transesterification reaction of methyl methacrylate with diethanolamine.

The Cure and Rheological Behavior of Diglycidyl Ether of Bisphenol F /Nadic Methyl Anhydride Resin System for Liquid Encapsulant (액상봉지재용 Diglycidyl Ether of Bisphenol F/Nadic Methyl Anhydride 수치 시스템의 경화 및 유변학적 거동)

  • 김윤진;김창제;윤호규
    • Proceedings of the International Microelectronics And Packaging Society Conference
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    • 2002.05a
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    • pp.152-157
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    • 2002
  • The cure and rheological behavior of Diglycidyl ether of bisphenol F, catalyzed by four kinds of imidazoles and a Nadic methyl anhydride curing agent were studied using a differential scanning calorimeter (DSC) and rheometer. The isothermal traces were employed to analyze cure reaction. The DGEBF/anhydride conversion profiles showed autocatalyzed reaction characterized by maximum conversion rate at 20~40 % of the reaction. The rate constants obtained from isothermal test showed temperature dependance, but reaction order did not. The order of reaction (m+n) was calculated to be close to 3. The measurements of viscosity and relation time in the presence of inorganic fillers were carried out at different isothermal curing temperatures. The viscosity and gelation time increased with filler content at the same isothermal temperature.

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Spectral and Mechanistic Investigation of Oxidative Decarboxylation of Phenylsulfinylacetic Acid by Cr(VI)

  • Subramaniam, Perumal;Selvi, Natesan Thamil;Devi, Soundarapandian Sugirtha
    • Journal of the Korean Chemical Society
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    • v.58 no.1
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    • pp.17-24
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    • 2014
  • The oxidative decarboxylation of phenylsulfinylacetic acid (PSAA) by Cr(VI) in 20% acetonitrile -80% water (v/v) medium follows overall second order kinetics, first order each with respect to [PSAA] and [Cr(VI)] at constant [$H^+$] and ionic strength. The reaction is acid catalysed, the order with respect to [$H^+$] is unity and the active oxidizing species is found to be $HCrO_3^+$. The reaction mechanism involves the rate determining nucleophilic attack of sulfur atom of PSAA on chromium of $HCrO_3^+$ forming a sulfonium ion intermediate. The intermediate then undergoes ${\alpha}$,${\beta}$-cleavage leading to the liberation of $CO_2$. The product of the reaction is found to be methyl phenyl sulfone. The operation of substituent effect shows that PSAA containing electron-releasing groups in the meta- and para-positions accelerate the reaction rate while electron withdrawing groups retard the rate. An excellent correlation is found to exist between log $k_2$ and Hammett ${\sigma}$ constants with a negative value of reaction constant. The ${\rho}$ value decreases with increase in temperature evidencing the high reactivity and low selectivity in the case of substituted PSAAs.

The Characteristics of the Dehydration Reaction and the Durability for the Thermal Decomposition in Na2B4O7·10H2O/Na2B4O7·5H2O System (Na2B4O7·10H2O/Na2B4O7·5H2O 계의 열분해 탈수반응 및 내구성 고찰)

  • Choi, Ho-Sang;Park, Young-Tae
    • Applied Chemistry for Engineering
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    • v.10 no.6
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    • pp.885-888
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    • 1999
  • This study was carried out to determine the reaction kinetic constant of the dehydration - thermal decomposition of $Na_2B_4O_7{\cdot}10H_2O/Na_2B_4O_7{\cdot}5H_2O$ and to investigate the durability during the repeated use of a chemical heat-storage material and the reproducibility of reaction system. The order of the dehydration reaction was 1st-order. The reaction rate was directly proportional to a partial pressure difference of water steam. The kinetic constant was 0.27 and the reproducibility of dehydration reaction for a kinetic constant and a reaction order was excellent. The activity variation in the durability test of a chemical heat-storage material was within range of ${\pm}5%$ during the repeatedly use in several times.

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Analytical Solution of Multi-species Transport Equations Coupled with a First-order Reaction Network Under Various Boundary Conditions (다양한 경계조건을 가진 일차 반응 네트워크로 결합된 다종 오염물 거동 해석해)

  • Suk, Hee-Jun;Chae, Byung-Gon
    • Journal of Soil and Groundwater Environment
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    • v.16 no.6
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    • pp.46-57
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    • 2011
  • In this study, analytical solution of multip-species transport equations coupled with a first-order reaction network under constant concentration boundary condition or total flux boundary condition is obtained using similarity transformation approach of Clement et al. (2000). The study shows the schematic process about how multi-species transport equations with first-order sequential reaction network is transformed through the similarity transformation approach into independent and uncoupled single species transport equations with first-order reaction. The analytical solution was verified through the comparison with popular commercial programs such as 2DFATMIC and RT3D. The analytical solution can be utilized in nuclear waste sites where radioactive contaminants and their daughter products occur and in industrial complex cities where chlorinated solvent such as PCE, TCE, and its biodegradation products produces. In addition, it can help the verification of the developed numerical code.