• Title/Summary/Keyword: kinetic equation

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Studies on the Stability of Multivitamin Solutions (종합비타민 액제의 안정성에 대한 연구)

  • Park, Hong-Koo
    • Applied Biological Chemistry
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    • v.43 no.1
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    • pp.39-45
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    • 2000
  • The stability of vitamin A, $B_1,\;B_2,\;B_6$, C in aqueous multivitamin solutions was carried out by means of estimation of reaction velocity and the results are described in this paper. The stability of vitamin A, $B_1$ and C due to thermal degradation method in aqueous multivitamin solutions was evaluated at 40, 50, 60 and $70^{\circ}C$ up to 40 days. The shelf-lives of vitamin A, B₁ and C in this preparation, calculated using the Arrhenius equation, were 1493, 449 and 639 days at $25^{\circ}C$ respectively. Examination was made on the effect of initial concentration of vitamin $B_2$$(C_0)$ on light fading of vitamin $B_2$ in aqueous multivitamin solutions and it was found that the fading progressed according to the following formula : $-{\frac {dc}{dt}}=K_c\;{\frac C{C_0}}$ where Kc is apparent light-fading rate constant relate to $C_0$. Photodecomposition of vitamin $B_6$ in aqueous multivitamin solutions was apparently first order kinetics and was stable in polyethylene>brown color>glass container to sunlight. Photodecomposition of vitamin $B_6$ in four seasons also investigated.

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Kinetic Studies on the Thermal Degradation of Pantothenic Acid (Pantothenic Acid의 열분해(熱分解)에 관한 속도론적(速度論的) 연구(硏究))

  • Pyun, Yu-Ryang;Park, Hyun-Jeong;Cho, Hyung-Yong;Lee, Young-Yup
    • Korean Journal of Food Science and Technology
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    • v.13 no.3
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    • pp.188-193
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    • 1981
  • Thermal degradation of pantothenic acid in potassium biphthalate buffer and in food samples such as rice, mushroom and beef was studied as functions of temperature and pH. Thermal degradation of pantothenic acid in buffer and food systems followed first order reaction at temperature between $60{\sim}104^{\circ}C$. Activation energy calculated from the Arrhenius equation ranged from 15,700 cal/mole 17,300 cal/mole for both systems. D values at $120^{\circ}C$ were approximately 18 hours for food samples and 15.4 hours at pH 5.65 for buffer sample. Z values of food samples were about $37^{\circ}C$, which were similar to those of buffer sample. The decomposition rate constant of pantothenic acid in buffer sample decreased when the pH increased from 4.0 to 6.46, but activation energy increased. In the range of $pH\;6.46{\sim}8.0$, decomposition rate constant increased but activation energy decreased as pH increased. The kinetic model of pantothenic acid decomposition in buffer system was proposed on the basis of empirical relationship.

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Enhancement of Manganese Removal Ability from Water Phase Using Biochar of Prinus densiflora Bark (소나무 수피 바이오차를 이용한 수중에서 망간의 제거능력 향상)

  • Kim, Min-Ji;Choi, Jung Hoon;Choi, Tae Ryeong;Choi, Suk Soon;Ha, Jeong Hyub;Lee, Young-Seak
    • Applied Chemistry for Engineering
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    • v.31 no.5
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    • pp.526-531
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    • 2020
  • Manganese ions contained in water phase are acting as a toxic substance in the human body and also known to affect the nervous system. In particular, effective treatment technology is required since manganese removal is difficult due to its high solubility in a wide pH range. In this study, Prinus densiflora bark was chemically modified with hydrogen peroxide, and the modified adsorbent was used for removing manganese ions in an aqueous solution. The modified adsorbent showed high removal capacity of 82.1 and 56.2%, respectively, at conditions of 5 and 10 mg/L manganese ions. Also, the adsorption isotherm from the data was applied to the theoretical equation. As a result, the adsorption behavior of manganese ions was better suited to the Langmuir than Freundlich model, and it was also found from kinematics that the pseudo-second order kinetic model was more suitable. In addition, the changes of Gibbs free energy indicated that the adsorption reaction became more spontaneously with increasing temperature. Consequently, these experimental results may be used as a water treatment technology which can efficiently treat manganese ions contained in water.

Batch Kinetics of Exo-polysaccharide Production by Submerged Cultivation of Ganoderma lucidum (영지의 액체배양에 의한 세포외 다당 생산의 동력학적 특성)

  • Lee, Shin-Young;Lee, Hak-Su;Park, Heung-Cho
    • The Korean Journal of Mycology
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    • v.27 no.4 s.91
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    • pp.304-311
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    • 1999
  • Batch kinetics during the exo-polysaccharide (EPS) fermentation of Ganoderma lucidum was investigated as a function of different substrates (glucose and starch), substrate concentration $(1{\sim}7%,\;w/v)$ and subculture (3 times). Logistic model for mycelial growth fitted the experimental data better than Monod and two thirds power model. The Luedeking-Pirt equation was adequate to fit the kinetic data of product formation and substrate consumption. The EPS production was strongly non-growth associated, although it was mixed type. The product formation and sustrate consumption by growth associated mechanism decreased as the concentration of glucose increased, while those of the non-growth associated mechanism increased. However, starch medium increased the growth associated and non-growth associated substrate consumption indicating higher availability of substrate. Also, batch culture in starch medium showed the higher specific growth rate and stability during subculture than those in glucose medium. In conclusion, the enhanced EPS production and stability in the subculture was found to be remarkably improved by use of starch as sole carbon source in medium. The maximum mycelium dry weight and EPS production of 9.463 and 10.410 g/l, respectively, were obtained after shake culture of 7 days at $30^{\circ}C$ from the media containing 7% starch.

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Numerical Study on Flow Characteristics of Hollow Fiber Membrane Module for Water Recovery Cooling Tower (수분회수 냉각탑에 적용되는 중공사막 모듈의 유동특성에 관한 수치해석적 연구)

  • Park, Sang Cheol;Park, Hyun Seol;Lee, Hyung Keun;Shin, Weon Gyu
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.41 no.8
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    • pp.537-544
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    • 2017
  • The purpose of this study is to analyze the flow characteristics when a staggered hollow fiber membrane module is modeled as a porous medium. The pressure-velocity equation was used for modeling the porous medium, using pressure drop data. In terms of flow characteristics, we compared the case of the "porous medium" when the membrane module was modeled as a porous medium with the case of the "membrane module" when considering the original shape of the membrane module. The difference in pressure drop between the "porous medium" and "membrane module" was less than 0.6%. However, the maximum flow velocity and mean turbulent kinetic energy of the "porous medium" were 2.5 and 95 times larger than those of the "membrane module," respectively. Our results indicate that modeling the hollow fiber module as a porous medium is useful for predicting pressure drop, but not sufficient for predicting the maximum flow velocity and mean turbulent kinetic energy.

Kinetic Behavior of Immobilized Tyrosinase on Carbon in a Simulated Packed-Bed Reactor (충전층에서 탄소에 고정시킨 Tyrosinase의 반응속도에 관한 연구)

  • Shin, Sun Kyoung;Kim, Kyeo-Keun
    • Analytical Science and Technology
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    • v.10 no.1
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    • pp.66-74
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    • 1997
  • Influence of the axial dispersion on immobilized enzyme catalytic bed was investigated in order to examine the kinetic behavior of the biocatalysis. The enzyme employed in this study was the tyrosinase(EC 1.14.18.1) immobilized on carbon support : this system requires two substrates of phenol and oxygen. This enzyme has potential application for phenol degradation in waste water. A simulated reactor was a packed-bed reactor of 2.54cm in diameter and 10cm long, loaded with the immobilized carbon particle with an average diameter of $550{\mu}m$. A phenol feed in the strength of 55.5mM(5220ppm) was used to observe the behavior of the immobilized enzyme column at three different dissolved oxygen levels of 0.08445mM(2.7ppm), 0.1689mM(5.4ppm) and 0.3378mM(9.5ppm) with the flow rates in the range of 60(1mL/s) to 180mL/min(3mL/s). Examination of the Biot number and Damkolher numbers of the immobilized system enables us to eliminate the contribution of external mass transfer to set of differential equations derived from the dispersion model. Solution of the equation was finally obtained numerically with the application of the Danckwert boundary conditions and the assumed zero-and first order rates on the non-linear two substrate enzyme kinetics. Higher conversion of phenol was observed at the low flow rates and at the higher oxygen concentration. Comparison of axial dispersion and plug flow model showed that no detectable difference was observed in the column outlet conversion between the axial and the plug flow models which was in complete agreement with the previous studies.

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Characteristics and Parameters for Adsorption of Carbol Fuchsin Dye by Coal-based Activated Carbon: Kinetic and Thermodynamic (석탄계 활성탄에 의한 Carbol Fuchsin의 흡착 특성과 파라미터: 동력학 및 열역학)

  • Lee, Jong Jib
    • Applied Chemistry for Engineering
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    • v.32 no.3
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    • pp.283-289
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    • 2021
  • Adsorption characteristics of carbol fuchsin (CF) dye by coal-based activated carbon (CAC) were investigated using pH, initial concentration, temperature and contact time as adsorption variables. CF dissociates in water to have a cation, NH2+, which is bonded to the negatively charged surface of the activated carbon in the basic region by electrostatic attraction. Under the optimum condition of pH 11, 96.6% of the initial concentration was adsorbed. Isothermal adsorption behavior was analyzed using Langmuir, Freundlich, Temkin and Dubinin-Radushkevich models. Langmuir's equation was the best fit for the experimental results. Therefore, the adsorption mechanism was expected to be adsorbed as a monolayer on the surface of activated carbon with a uniform energy distribution. From the evaluated Langmuir's dimensionless separation coefficients (RL = 0.503~0.672), it was found that CF can be effectively treated by activated carbon. The adsorption energies determined by Temkin and Dubinin-Radushkevich models were E = 15.31~7.12 J/mol and B = 0.223~0.365 kJ/mol, respectively. Therefore, the adsorption process was physical (E < 20 J/mol, B < 8 kJ/mol). The experimental result of adsorption kinetics fit better the pseudo second order model. In the adsorption reaction of CF dye to CAC, the negative free energy change increased as the temperature increased. It was found that the spontaneity also increased with increasing temperature. The positive enthalpy change (40.09 kJ/mol) indicated an endothermic reaction.

Adsorption of Dyes with Different Functional Group by Activated Carbon: Parameters and Competitive Adsorption (활성탄에 의한 작용기가 다른 염료의 흡착: 파라미터 및 경쟁 흡착)

  • Lee, Jong Jib
    • Applied Chemistry for Engineering
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    • v.33 no.2
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    • pp.151-158
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    • 2022
  • In this paper, parameter characteristics such as pH effect, isotherm, kinetic and thermodynamic parameters and competitive adsorption of dyes including malachite green (MG), direct red 81 (DR 81) and thioflavin S (TS), which have different functional groups, being adsorbed onto activated carbon were investigated. Langmuir, Freundlich and Temkin isotherm models were employed to find the adsorption mechanism. Effectiveness of adsorption treatment of three dyes by activated carbon were confirmed by the Langmuir dimensionless separation factor. The mechanism was found to be a physical adsorption which can be verified through the adsorption heat calculated by Temkin equation. The adsorption kinetics followed the pseudo second order and the rate limiting step was intra-particle diffusion. The positive enthalpy and entropy changes showed an endothermic reaction and increased disorder via adsorption at the S-L interface, respectively. For each dye molecule, negative Gibbs free energy increased with the temperature, which means that the process is spontaneous. In the binary component system, it was found that the same functional groups of the dye could interfere with the mutual adsorption, and different functional groups did not significantly affect the adsorption. In the ternary component system, the adsorption for MG lowered a bit, likely to be disturbed by the other dyes meanwhile DR 81 and TS were to be positively affected by the presence of MG, thus resulting in much higher adsorption.

Study of new adsorption isotherm model and kinetics of dissolved organic carbon in synthetic wastewater by granular activated carbon (입상활성탄에 의한 합성폐수의 용존유기물질의 새로운 흡착등온 모델 및 운동학적 흡착 연구)

  • Kim, Seoung-Hyun;Shin, Sunghoon;Kim, Jinhyuk;Woo, Dalsik;Lee, Hosun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.15 no.4
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    • pp.2029-2035
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    • 2014
  • In this study, we conducted the adsorption equilibrium and batch experiments of dissolved organic carbon (DOC) in the wastewater by granular activated carbon (GAC). The components of organic compound were Beef extract (1.8 mg/L), Peptone (2.7 mg/L), Humic acid (4.2 mg/L), Tannic acid (4.2 mg/L), Sodium lignin sulfonate (2.4 mg/L), Sodium lauryle sulfate (0.94 mg/L), Arabic gum powder (4.7 mg/L), Arabic acid (polysaccharide) (5.0 mg/L), $(NH_4)_2SO_4$ (7.1 mg/L), $K_2HPO_4$ (7.0 mg/L), $NH_4HCO_3$ (19.8 mg/L), $MgSO_4{\cdot}7H_2O$ (0.71 mg/L), The adsorption characteristics of DOC in synthetic wastewater was described using the mathematical model through a series of isotherm and batch experiments. It showed that there was linear adsorption region in the low DOC concentration (0~2.5 mg/L) and favorable adsorption region in high concentration (2.5~6 mg/L). The synthetic wastewater used was prepared using known quantities of organic and/or inorganic compounds. Adsorption modelling isotherms were predicted by the Freundlich, Langmuir, Sips and hybrid isotherm equations. Especially, hybrid isotherm of Linear and Sips equation was a good adsorption equilibrium in the region of the both the low concentration and high concentration. In applying carbon adsorption for treating water and wastewater, hybrid adsorption equation plus linear equation with Sips equation will be a good new adsorption equilibrium model. Linear driving force approximation (LDFA) kinetic equation with Hybrid (linear+Sips) adsorption isotherm model was successfully applied to predict the adsorption kinetics data in various GAC adsorbent amounts.

The Slow and Tight Binding of MR-387A to Aminopeptidase N

  • CHUNG, MYUNG-CHUL;HYO-KON CHUN;HO-JAE LEE;CHOONG-HWAN LEE;SU-IL KIM;YUNG-HEE KHO
    • Journal of Microbiology and Biotechnology
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    • v.6 no.4
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    • pp.250-254
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    • 1996
  • MR-387A [(2S, 3R)-2-hydroxy-3-amino-4-phenylbutanoyl-L-valyl-L-prolyl-(2, 4-trans)- L-4-hydroxy-proline] reversibly inhibits aminopeptidase N (BC 3.4.11.2) in a process that is remarkable for its unusual degree of time dependence. The time required to inactivate the enzyme by 50$%$ ($t_{1/2}$) for establishing steady-state levels of $EI^*$complex was approximately 5 minutes. This indicates that the inhibition is a slow-binding process. In dissociation experiments of $EI^*$ complex, enzymic activity was regained slowly in a quadratic equation, indicating that the inhibition of aminopeptidase N by MR-387A is tight-binding and reversible. Thus, the binding of MR-387A by aminopeptidase N is slow and tight, with $K_{i}$ (for initial collision complex, EI) and $K_i{^*}$ (for final tightened complex, $EI^*$) of $2.2\times10^{-8}$ M (from Lineweaver-Burk plot) and $4.4\times10^{-10}$ M (from rate constants), respectively. These data indicate that MR-387A and aminopeptidase N are bound approximately 200-fold more tightly in the final $EI^*$complex than in the initial collision EI complex.

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