• 제목/요약/키워드: order of reaction

검색결과 4,351건 처리시간 0.034초

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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    • 제28권1_2호
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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.

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

  • 최용택;신창섭;이태희
    • 한국대기환경학회지
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    • 제3권1호
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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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    • 제8권4호
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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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    • 제6권3호
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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.

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

  • 박근호;김동식;정순욱
    • 한국응용과학기술학회지
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    • 제7권1호
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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.

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

  • 박근호
    • 한국응용과학기술학회지
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    • 제9권2호
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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.

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

  • 김윤진;김창제;윤호규
    • 한국마이크로전자및패키징학회:학술대회논문집
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    • 한국마이크로전자및패키징학회 2002년도 춘계 기술심포지움 논문집
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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
    • 대한화학회지
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    • 제58권1호
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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.

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

  • 최호상;박영태
    • 공업화학
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    • 제10권6호
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    • pp.885-888
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    • 1999
  • 본 연구에서는 $Na_2B_4O_7{\cdot}10H_2O/Na_2B_4O_7{\cdot}5H_2O$ 반응계의 열분해 탈수반응에 의한 반응속도상수를 결정하고 반응계의 재현성 및 화학축열재의 반복사용에 따른 내구성을 검토하였다. 반응계의 열분해 탈수반응의 차수는 1차이었고, 열분해 탈수 반응속도는 수증기의 분압차에 정비례하였다. 반응계의 반응속도상수는 약 0.27이었고, 반응속도상수와 반응차수에 대한 반응의 재현성이 우수하였다. 또한 화학축열재의 내구성은 연속적으로 반복 사용하여도 활성변화는 ${\pm}5%$ 범위 내에 있었다.

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

  • 석희준;채병곤
    • 한국지하수토양환경학회지:지하수토양환경
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    • 제16권6호
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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.