• Title/Summary/Keyword: Reaction rate equation

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On the equivalence of reaction rate in energy collapsing of fast reactor code SARAX

  • Xiao, Bowen;Wei, Linfang;Zheng, Youqi;Zhang, Bin;Wu, Hongchun
    • Nuclear Engineering and Technology
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    • v.53 no.3
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    • pp.732-740
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    • 2021
  • Scattering resonance of medium mass nuclides leads complex spectrum in the fast reactor, which requires thousands of energy groups in the spectrum calculation. When the broad-group cross sections are collapsed, reaction rate cannot be completely conserved. To eliminate the error from energy collapsing, the Super-homogenization method in energy collapsing (ESPH) was employed in the fast reactor code SARAX. An ESPH factor was derived based on the ESPH-corrected SN transport equation. By applying the factor in problems with reflective boundary condition, both the effective multiplication factor and reaction rate were conserved. The fixed-source iteration was used to ensure the stability of ESPH iteration. However, in the energy collapsing process of SARAX, the vacuum boundary condition was adopted, which was necessary for fast reactors with strong heterogeneity. To further reduce the error caused by leakage, an additional conservation factor was proposed to correct the neutron current in energy collapsing. To evaluate the performance of ESPH with conservation factor, numerical benchmarks of fast reactors were calculated. The results of broad-group calculation agreed well with the direct full-core Monte-Carlo calculation, including the effective multiplication factor, radial power distribution, total control rod worth and sodium void worth.

A Study on the Oxidation of Carbon Monoxide for Exhaust of Car Engine by the $LaSrNiCoO_3$ Low Noble Metal Catalyst (저귀금속 $LaSrNiCoO_3$ 촉매에 의한 자동차 배기중의 일산화탄소의 산화반응에 관한 연구)

  • 이근배;이석희
    • Journal of Korean Society for Atmospheric Environment
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    • v.6 no.1
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    • pp.57-72
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    • 1990
  • The oxidation of carbon monoxide on a catalyst, $LaSrNiCoO_3$ was investigatigated with a plug flow system. Kinetic quantities such as reaction-rate, reaction order and Arhenius-parameters at various reactor temperature from 200$^\circ$C to 300$^\circ$C were determined. Also, the optimum condition for the oxidation of carbon monoxide with this catalyst was determined and are as follows. Partial pressure of oxigen ; 428mmHg Partial pressure of carbon monoxide ; 332mmHg Mixed moral ratio of oxigen and Carbon monoxide ; 1.3 : 1 Total gas flow ; 224ml/min Reaction temperature ; 340$^\circ$C The reaction kinetic equation at the optimum condition, temperature range from 200$^\circ$C to 340$^\circ$C, are as follow. $$ $v = Ae^{6.5Kcal/RT} [CO]^{0.93 \sim 0.98} [O_2]^{0.42 \sim 0.50}$ $$ In addition to this, numerical calculation were performed to evaluate the mass and heat transfer effect on this system.

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Solvent Effects on the Nucleophilc Addition (I) Effect of Solvent Polarity on the Nucleophilic Addition of Amine to Phenylvinylketone (친핵성 첨가반응에 대한 용매효과 (I) Phenylvinylketone에 대한 아민의 첨가반응속도에 미치는 용매의 극성효과)

  • Gap-Cheol Shin;Tae-Rin Kim
    • Journal of the Korean Chemical Society
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    • v.36 no.2
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    • pp.287-292
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    • 1992
  • The rate constants of the nucleophilic addition reaction of amines (piperidine and diethylamine) to phenylvinylketone in various solvents have been determined by UV spectrophotometry at $25^{\circ}C$. On the basis of the high sensitivity of the rate to the polarity of the medium, it may be concluded that the reaction intermediate has zwitterionic character. The effect of the solvents on the rate of the bimolecular nucleophilic addition reaction is described well by the Kirkwood equation: The transition state of the reaction has a cyclic structure formed through an intramolecular hydrogen bond. The addition reaction of primary and secondary amines to phenylvinylketone in all solvents take place considerably faster than that of tertiary amine and this results also can be explained by the intermediate products in the reaction have a cyclic structure formed through an intramolecular hydrogen bond for the primary and secondary amines but not for the tertiary amine.

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Effect of Partial Pressure of the Reactant Gas on the Kinetic Model and Mechanical Properties of the Chemical Vapor Deposited Silicon Carbide (화학증착된 실리콘 카바이드 박막의 속도론적 모델 및 기계적 성질에 미치는 반응가스 분압의 영향)

  • 어경훈;소명기
    • Journal of the Korean Ceramic Society
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    • v.28 no.6
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    • pp.429-436
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    • 1991
  • Silicon carbide has been grown by a chemical vapor deposition (CVD) technique using CH3SiCl3 and H2 gaseous mixture onto a graphite substrate. Based on the thermodynamic equilibrium studies and the suggestion that the deposition rate of SiC is controlled by surface reaction theoretical kinetic equation for CVD of silicon carbide has been proposed. The proposed theoretical kinetic equation for CVD of silicon carbide agreed well with the experimental results for the variation of the deposition rate as a function of the partial pressure of reactant gases. The Vikers microhardness of the SiC layer was about 3000∼3400 kg/$\textrm{mm}^2$ at room temperature.

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A study on the growth rate of the carbide layer formed by the reactive deposition (반응석출법에 의한 탄화물 피복속도에 관한 연구)

  • 남기석;변응선;이구현;김도훈
    • Journal of the Korean institute of surface engineering
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    • v.27 no.5
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    • pp.303-311
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    • 1994
  • In this study, the factors, such as coating temperature T(K), reaction time t(sec) and mobile carbon content $C^*$ (wt%) of steels affecting, the growth rate of carbide layer were investigated in the reactive deposition and diffusion coating using the fluidized bed. From the results, the coating thickness d(cm) can be expressed by an equation. d=$C^*$$(KT)^{1/2}$, where K=K$\circ$exp(~Q/RT), KTEX>$\circ$ = 1.4$\times$$10^{-2}cm^{-2}$/sec, and Q=46Kcal/ mol. It was in a good aggrement with the experimental results, reguardless of the diffusion coating method and the carbide layer. Therefore, if the mobile carbon content of carbon steels and alloyed steels is known, the thickness under coating conditions can be predicted from the previous equation.

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The Heterogeneous Reaction of Calcinated Alunite Powder with Ammonium Buffer Solution (蝦燒 Alunite 粉末과 암모늄鹽 緩衝溶液과의 不均一反應)

  • Hee Chul Lee;Chul Young Kim;Ikchoon Lee
    • Journal of the Korean Chemical Society
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    • v.19 no.5
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    • pp.381-385
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    • 1975
  • Calcinated alunite powder (surface area 5100 $cm^2/g$) was found to react with well stirred ammonium buffer solution (pH 8.0) following Jander's equation. The rate constants increase with the amount of solid and temperature of reaction system. The energy of activation for the reactions (at $30{\sim}60^{\circ}C$) was 15.7 kcal/mole. The rate-determining step appears to involve ionization of alunite.

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Absorption of Methyl Mercaptan into Aqueous Diethanolamine Solutions (Diethanolamine 수용액에서의 Methyl Mercaptan의 흡수)

  • Park Moon-Ki
    • Journal of Environmental Science International
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    • v.14 no.12
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    • pp.1177-1183
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    • 2005
  • The kinetics of the reaction of methyl mercaptan into aqueous diethanolamine were studied over a range in temperature ($20^\~60{\circ}C$) and amine concentrations (0-40 $wt\%$) using a wetted-sphere absorber. The physicochemical properties needed to interpret the data are the solubility and diffusivity of methyl mercaptan in the aqueous diethanolamine solution. The density and the viscosity were obtained and correlated in the experimental range. The Wilke Chang equation was applied to estimate the diffusion coefficient. The enhancement factor was found to be high temperature is below than low temperature. It means the absorption rate with chemical reaction is lower than the physical absorption rate.

Delignification Kinetics of Trema orientalis (Nalita) in Kraft Pulping

  • Jahan, M. Sarwar;Rubaiyat, A.;Sabina, R.
    • Journal of Korea Technical Association of The Pulp and Paper Industry
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    • v.39 no.5
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    • pp.7-11
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    • 2007
  • Kraft pulping of Trema orientalis (Nalita) was studied in order to find kinetic data for delignification. Pulping runs were carried out in the temperature range of $160-180\;^{\circ}C$ under constant and well-defined conditions. The delignification was found to be first order with respect to residual lignin and was chemically controlled. The rate of delignification reaction was increased 1.11-1.23 for $10\;^{\circ}C$ temperature increase in the range of $160-180\;^{\circ}C$ range. A mean value of 93% of lignin was removed at the transition between bulk and residual delignification. The influence of cooking temperature on the rate constant was expressed by an Arrhenius-type equation. The obtained activation energy of the delignification reaction was 6,164 cal/mol. The transition point between bulk and residual phase was shifted to lower lignin and carbohydrate yield with the increase of temperature.

Service Life Prediction of Components or Materials Based on Accelerated Degradation Tests (가속열화시험에 의한 부품·소재 사용수명 예측에 관한 연구)

  • Kwon, Young Il
    • Journal of Applied Reliability
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    • v.17 no.2
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    • pp.103-111
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    • 2017
  • Purpose: Accelerated degradation tests can speed time to market and reduce the test time and costs associated with long term reliability tests to verify the required service life of a product or material. This paper proposes a service life prediction method for components or materials using an accelerated degradation tests based on the relationships between temperature and the rate of failure-causing chemical reaction. Methods: The relationship between performance degradation and the rate of a failure-causing chemical reaction is assumed and least square estimation is used to estimate model parameters from the degradation model. Results: Methods of obtaining acceleration factors and predicting service life using the degradation model are presented and a numerical example is provided. Conclusion: Service life prediction of a component or material is possible at an early stage of the degradation test by using the proposed method.

A New Method for Determination of Enzyme Reaction and Activity of Lysozyme with UV-Spectrophotometer (UV-분광광도계를 이용한 새로운 Lysozyme의 효소반응 및 활성측정법 연구)

  • Kim, Woon-Soo;Kim, Yong-Wook;Kim, Woo-Sik
    • Applied Chemistry for Engineering
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    • v.9 no.6
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    • pp.857-863
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    • 1998
  • A simple and new experimental method for determination of lysozyme-M. lysodeikticus cell lysis reaction and lysozyme activity was suggested using Beer's law. The UV transmittance of the solution changed with the concentration of M. lysodeikticus and the relationship between the UV transmittance and M. lysodeikticus cell concentration followed Beer's Law. In addition, it was experimentally proven that the UV transmittance of the solution was not influenced by the lysozyme concentration and product of the lysis reaction. During the lysozyme-M. lysodeikticus cell lysis reaction, thus, M. lysodeikticus cell concentration in the solution could be measured in-situ by UV-spectrophotometer. By using these experimental data, kinetic Parameters of the Michaelis-Menten equation for the lysozyme-M. lysodeikticus cell 1ysis reaction was simply determined The maximum reaction rate constant ($k_3$) and Michaelis-Menten constants were $0.1734sec^{-1}$ and $9.83{\times}10^{-6}M$ respectively. The activity of the lysozyme could also be obtained with this experiment because the lysis reaction rate of the 1ysozyme depended on its activity.

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