• Title/Summary/Keyword: kinetic equation

Search Result 527, Processing Time 0.026 seconds

Adsorption Characteristics of Brilliant Green by Coconut Based Activated Carbon : Equilibrium, Kinetic and Thermodynamic Parameter Studies (야자계 입상 활성탄에 의한 brilliant green의 흡착 특성 : 평형, 동력학 및 열역학 파라미터에 관한 연구)

  • Lee, Jong-Jib
    • Clean Technology
    • /
    • v.25 no.3
    • /
    • pp.198-205
    • /
    • 2019
  • The adsorption equilibrium, kinetic, and thermodynamic parameters of brilliant green adsorbed by coconut based granular activated carbon were determined from various initial concentrations ($300{\sim}500mg\;L^{-1}$), contact time (1 ~ 12 h), and adsorption temperature (303 ~ 323 K) through batch experiments. The equilibrium adsorption data were analyzed by Langmuir, Freundlich, Temkin, Harkins-Jura, and Elovich isotherm models. The estimated Langmuir dimensionless separation factor ($R_L=0.018{\sim}0.040$) and Freundlich constant ($n^{-1}=0.176{\sim}0.206$) show that adsorption of brilliant green by activated carbon is an effective treatment process. Adsorption heat constants ($B=12.43{\sim}17.15J\;mol^{-1}$) estimated by the Temkin equation corresponded to physical adsorption. The isothermal parameter ($A_{HJ}$) by the Harkins-Jura equation showed that the heterogeneous pore distribution increased with increasing temperature. The maximum adsorption capacity by the Elovich equation was found to be much smaller than the experimental value. The adsorption process was best described by the pseudo second order model, and intraparticle diffusion was a rate limiting step in the adsorption process. The intraparticle diffusion rate constant increased because the dye activity increased with increases in the initial concentration. Also, as the initial concentration increased, the influence of the boundary layer also increased. Negative Gibbs free energy ($-10.3{\sim}-11.4kJ\;mol^{-1}$), positive enthalpy change ($18.63kJ\;mol^{-1}$), and activation energy ($26.28kJ\;mol^{-1}$) indicate respectively that the adsorption process is spontaneous, endothermic, and physical adsorption.

Characteristics of Equilibrium, Kinetics and Thermodynamics for Adsorption of Disperse Yellow 3 Dye by Activated Carbon (활성탄에 의한 Disperse Yellow 3 염료의 흡착에 있어서 평형, 동력학 및 열역학적 특성)

  • Lee, Jong-Jib
    • Clean Technology
    • /
    • v.27 no.2
    • /
    • pp.182-189
    • /
    • 2021
  • The adsorption of disperse yellow 3 (DY 3) on granular activated carbon (GAC) was investigated for isothermal adsorption and kinetic and thermodynamic parameters by experimenting with initial concentration, contact time, temperature, and pH of the dye as adsorption parameters. In the pH change experiment, the adsorption percent of DY 3 on activated carbon was highest in the acidic region, pH 3 due to electrostatic attraction between the surface of the activated carbon with positive charge and the anion (OH-) of DY 3. The adsorption equilibrium data of DY 3 fit the Langmuir isothermal adsorption equation best, and it was found that activated carbon can effectively remove DY 3 from the calculated separation factor (RL). The heat of adsorption-related constant (B) from the Temkin equation did not exceed 20 J mol-1, indicating that it is a physical adsorption process. The pseudo second order kinetic model fits well within 10.72% of the error percent in the kinetic experiments. The plots for Weber and Morris intraparticle diffusion model were divided into two straight lines. The intraparticle diffusion rate was slow because the slope of the stage 2 (intraparticle diffusion) was smaller than that of stage 1 (boundary layer diffusion). Therefore, it was confirmed that the intraparticle diffusion was rate controlling step. The free energy change of the DY 3 adsorption by activated carbon showed negative values at 298 ~ 318 K. As the temperature increased, the spontaneity increased. The enthalpy change of the adsorption reaction of DY 3 by activated carbon was 0.65 kJ mol-1, which was an endothermic reaction, and the entropy change was 2.14 J mol-1 K-1.

Application of Crystallization Kinetics on Differential Thermal Analysis (열시차 분석에 대한 결정화 Kinetics의 응용)

  • 이선우;심광보;오근호
    • Journal of the Korean Ceramic Society
    • /
    • v.35 no.11
    • /
    • pp.1162-1170
    • /
    • 1998
  • Applicability of crystallization kinetics on thermal analysis was investigated for PbO-TiO2-B2O3-BaO glass systems together with theoretical background of kinetics and electron microscopic observations on nu-cleation and crystallization. Kissinger equation can be used on DTA under the assumption that the nucleus density is fixed during DTA runs. Crystallization mechanism affected on the activation energy Ek obtained from powder samples which is used for domination of surface crystallization. Avrami parameter n that was obtained from Ozawa equation represented closely the crystallization mechanisms observed by an electron microscope. The modified Kissinger equation takes into account crystallization mechanism thereby pro-ducing the true activation energy of crystallization.

  • PDF

IDEMPOTENT ELEMENTS IN THE LOTKA-VOLTERRA ALGEBRA

  • Yoon, Suk-Im
    • Communications of the Korean Mathematical Society
    • /
    • v.10 no.1
    • /
    • pp.123-131
    • /
    • 1995
  • The notion of our non-associative algebra is obtained from the Lotka-Volterra system of differential equation describing competitiion between animals or vegetals species and also in the kinetic theory of gasses. For the structure of an algebra, the existence of idempotents is of particular interest. But also from the biological aspect the existence of such elements is of interest because the equilibria of a population which can be described by an algebra correspond to idempotents of this algebra. Thus we present some properties of the general natures for a Lotka-Volterra algebra associated to a weight function and idempotents elements.

  • PDF

Design and Characteristic Analysis of Vaccum Pump Using Moving Magnet type Linear Oscillatory Actuator (가동 영구자석형 리니어 진동 액츄에이터를 이용한 진공 펌프의 설계 및 특성해석)

  • Cho, Sung-Ho;Kim, Duk-Hyun;Kim, Gyu-Tak
    • Proceedings of the KIEE Conference
    • /
    • 2002.04a
    • /
    • pp.61-63
    • /
    • 2002
  • This paper deals with the design of vaccum pump using moving magnet type linear oscillaory actuator based on the design procedure and the characteristic analysis. To improve the starting characteristic, the optimum spring constant is detected and redesigned. The parameter was calculated by Finite Element Method(FEM). In order to dynamic characteristic analysis. Time difference method with voltage and kinetic equation is used.

  • PDF

Influence of Ascorbic Acid on Velocity Constant of Carboxyhemoglobin Dissociation (Ascorbic Acid가 Carboxyhemoglobin의 해리속도항수에 미치는 영향)

  • 심길순
    • YAKHAK HOEJI
    • /
    • v.8 no.3
    • /
    • pp.62-68
    • /
    • 1964
  • Author has determined the dissociation velocity constant of carboxyhemoglobin in cattle blood solution by addition of ascorbic acid at $36-38{\deg}.$ It was found that these kinetic data are concordant with Roughton's equation d[COHb]/dt = $m^{'}[CO][O_{2}Hb]/[O_{2}$ - m[COHb] and that the dissociation velocity constant of carboxyhemoglobin was accelerated by the presence of ascorbic acid from 0.119 to 0.135.

  • PDF

The Degradation of Indomethacin in Aqueous Solution (수용액에 있어서의 Indomethacin 분해)

  • 전인구;이민화;우종학
    • YAKHAK HOEJI
    • /
    • v.20 no.1
    • /
    • pp.76-82
    • /
    • 1976
  • The base-catalyzed hydrolysis of indomethacin over a range of pH 8,2 to 10.0 was investigated, according to the first order kinetic equation. The energy of activation for the reaction was calculated 20, 18 kcal/mole from the Arrhenius plot. And the optimal pH of indomethacin in aqueous solution was estimated as pH 4.93 by the extrapolation of the log k-pH profiles in strong acidic and alkaline regions. And the influences of alkaline earth metals, heavy metals and some other compounds on the degradation of indomethacin were observed with no effect.

  • PDF

A Study of Hydrogen Desorption in Dy2Co7-H System (Dy2Co7-H System에서 수소(水素)의 Desorption에 관한 연구(硏究))

  • Nam, ln-Tak
    • Journal of Industrial Technology
    • /
    • v.1
    • /
    • pp.47-51
    • /
    • 1981
  • A Kinetic model of desorption of hydrogen in $Dy_2Co_7-H$ system has been suggested and rate equation of each step of the model has been compared with experimental results. The reat controlling step was hydrogen recombination in metal surface. The activation energy of over-all reaction was about 23kcal/mole.

  • PDF

Optimization Study of Antenna Launching Condition for Efficient FWCD in KT-2 Tokamak

  • B.G. Hong;Kim, S.K.
    • Proceedings of the Korean Nuclear Society Conference
    • /
    • 1996.05d
    • /
    • pp.413-418
    • /
    • 1996
  • To derive the optimimum antenna launching condition for fast wave current drive, the propagation and absorption of the ion cyclotron range of frequencies waves are studied in a KT-2 tokamak plasma. We sove the kinetic wave equation in one dimensional slab geometry with the phase-shifted antenna array to inject the toroidal momentum to electrons. The accessibility conditions and the guidelines of the optimum antenna design for the efficient current drive are derived. The dependence of the current drive efficiency on launching conditions such as the phase and spacing Is presented.

  • PDF

Biosorption of Rhodamine B onto Waste Activated Sludge: Equilibrium and Kinetic Modelling (폐 활성슬러지를 이용한 Rhodamine B의 생체흡착:흡착평혀여 및 흡착속도 모델링)

  • Lee Chang-Han;Ahn Kab-Hwan
    • Journal of Environmental Science International
    • /
    • v.14 no.9
    • /
    • pp.881-888
    • /
    • 2005
  • The biosorption of dye, Rhodamine B(Rh-B), onto waste activated sludge was investigated. The biosorption capacity and contact time were shown as a simulation of dye adsorption equilibrium and kinetics models. We observed that biosorption of Rh-B occurred rapidly less than 4 hr. These experimental data could be better fitted by a pseudo-second-order rate equation than a pseudo-first-order rate equation. The equilibrium dependence between biosorption capacity and initial concentration of Rh-B was estimated and it was found that the equilibrium data of biosorption were fitted by four kinds of model such as Langmuir, Freundlich, Redlich-Peterson, and Koble-Corrigan model. The average percentage errors, $\varepsilon(\%)$, observed between experimental and predicted values by above each model were $21.19\%,\;9.97\%,\;10.10\%\;and\;11.76\%$, respectively, indicating that Freundlich and Redlich-Peterson model could be fitted more accrately than other models.