• Title/Summary/Keyword: Equilibrium Constant

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Kinetic Study on the Polycondensation Reaction of Bis-hydroxyethyl Naphthalate (Bis-hydroxyethyl Naphthalate의 축중합 반응에 관한 속도론적 연구)

  • 이성진;정성일
    • Polymer(Korea)
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    • v.26 no.4
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    • pp.422-430
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    • 2002
  • The kinetics of polycondensation of bishydroxyethyl naphthalate has been studied in the range of 241 -$260^{\circ}C$ using antimony trioxide catalyst. The reaction was performed in a batch reactor and the concentration of reaction mixture was measured with HPLC. The activation energy values of forward and reverse reaction determined from molecular species model were found to be 19.7 and 31.4 kcal/mole, respectively, and the equilibrium constants were in the range of 1.4-2.0, which were larger than that of polycondensation of PET and varied to some degree with temperature. It was confirmed by applying the Flory's distribution function that the reaction rate of the hyroxyethyl group does not depend on the molecular size. By applying functional group model, we observed that there was few difference between the activation energy of the forward reaction and that of reverse reaction, therefore the equilibrium constant has almost constant value of 1.4. The rate constants obtained from functional group model was about 3-4 times larger than that from molecular species model, which showed that both model explains the reaction system well. Although the molecular species model should predict the concentration of as many as ten molecules, it fits for the experimental results well.

Modeling for Drying of Thin Layer of Native Cassava Starch in Tray Dryer

  • Aviara, Ndubisi A.;Igbeka, Joseph C.
    • Journal of Biosystems Engineering
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    • v.41 no.4
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    • pp.342-356
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    • 2016
  • Purpose: The drying of a thin layer of native cassava starch in a tray dryer was modeled to establish an equation for predicting the drying behavior under given conditions. Methods: Drying tests were performed using samples of native cassava starch over a temperature range of $40-60^{\circ}C$. We investigated the variation in the drying time, dynamic equilibrium moisture content, drying rate period, critical moisture content, and effective diffusivity of the starch with temperature. The starch diffusion coefficient and drying activation energy were determined. A modification of the model developed by Hii et al. was devised and tested alongside fourteen other models. Results: For starch with an initial moisture content of 82% (db), the drying time and dynamic equilibrium moisture content decreased as the temperature increased. The constant drying rate phase preceded the falling rate phase between $40-55^{\circ}C$. Drying at $60^{\circ}C$ occurred only in the falling rate phase. The critical moisture content was observed in the $40-55^{\circ}C$ range and increased with the temperature. The effective diffusivity of the starch increased as the drying temperature increased from 40 to $60^{\circ}C$. The modified Hii et al. model produced randomized residual plots, the highest $R^2$, and the lowest standard error of estimates. Conclusions: Drying time decreased linearly with an increase in the temperature, while the decrease in the moisture content was linear between $40-55^{\circ}C$. The constant drying rate phase occurred without any period of induction over a temperature range of $40-55^{\circ}C$ prior to the falling rate period, while drying at $60^{\circ}C$ took place only in the falling rate phase. The effective diffusivity had an Arrhenius relationship with the temperature. The modified Hii et al. model proved to be optimum for predicting the drying behavior of the starch in the tray dryer.

A Kinetic Study on the Ammonia Nitrogen Adsorption by Physical Characteristics of Activated Carbon (활성탄 물성에 따른 암모니아성 질소 흡착의 동력학적 연구)

  • Seo, Jeong-beom;Kang, Joon-won;Lee, Ik-soo
    • Journal of Korean Society on Water Environment
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    • v.24 no.3
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    • pp.311-316
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    • 2008
  • This study aimed to obtain equilibrium concentration on adsorption removal of ammonia nitrogen by activated carbon, to express the adsorption characteristics following Freundlich isotherm and also, based on the value obtained, to investigate the relationship between physical characteristics of activated carbon and dynamics of ammonia nitrogen removal by obtaining rate constant and effective pore diffusivity. The results summarized from this study are as follows. It was noted that powdered activated carbon showed better adsorption ability than granular activated carbon. The value of constant (f) of Freundlich isotherm of powered activated carbon was $4.6{\times}10^{-8}$ which is bigger than that of granular activated carbon. The adsorption rate constant on ammonia nitrogen of powered activated carbon with high porosity and low effective diameter was highest as 0.416 hr-1 and the effective pore diffusivity ($D_e$) was lowest as $1.17{\times}10^{-6}cm^2/hr$, and the value of ammonia nitrogen adsorption rate constant of granular activated carbon was $0.149{\sim}0.195hr^{-1}$. It was revealed that, with the same amount of dosage, the adsorptive power of activated carbon with lower effective diameter and bigger porosity was better and its rate constant was also high. With a little adsorbent dosage of 2 g, there was no difference removal ability of ammonia nitrogen as change of adsorption properties.

PHOTOTAXIS OF FISH (1) - CYPRINUS CARPIO - (어류의 주광성에 관한 연구(1) - 잉어 -)

  • YANG Yong-Rhim
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.12 no.2
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    • pp.79-86
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    • 1979
  • The phototaxis of common carp Cyprinus carpio was studied tinder laboratory conditions to find out distributional pattern of the fish under light gradient and to find the light intensity which causes the maximum gathering rate. The optimum light intensities were determined, The fish tended to escape from tile light source when the light intensity was stronger or weaker than a certain optimum value. The mean illumination intensity which caused the maximum gathering rate was 3.813lux (2.99-4.76 lux) in the daytime and 6.292 lux (5.0-7.89 lux) at night. The gathering rate of the fish could be divided into two types: reflex gathering rate and equilibrium gathering rate. The reflex gathering rate appeared quickly soon after lighting and gradually changed as time elapsed, while the equilibrium gathering rate was almost always constant.

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The Effect of Pressure and Temperature on the Durene-Iodine Charge Transfer Complex in n-Hexane (듀렌과 요오드 사이의 전하이동착물에 대한 압력과 온도의 영향)

  • Oh Cheun Kwun;Jeong Rim Kim
    • Journal of the Korean Chemical Society
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    • v.27 no.1
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    • pp.9-17
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    • 1983
  • The effect of pressures and temperatures on the stabilities of the durene-iodine charge transfer complex have been investigated through ultraviolet spectrophotometric measurements in n-hexane. The stabilities of complexes were measured at 25, 40 and $60^{\circ}C$ under $1{\sim}1600$ bars. The equilibrium constant of the complex was increased with pressure and decreased with temperature raising. The absorption coefficient was increased with both pressure and temperature. Changes of volume, enthalpy, free energy and entropy for the formation of complexes were obtained from the equilibrium constants. The red-shift observed at a higher pressure, the blue-shift at a higher temperature, and the relation between pressure and oscillator strength were discussed by means of thermodynamic functions.

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Estimation of Cadmium Removal Capacity on Furnace Slag in the Change of Initial Concentration and pH (초기농도와 pH 조건의 변화에 따른 제강슬래그의 카드뮴 제거능 평가)

  • Lee, Gwang-Hun;Kim, Eun-Hyup;Park, Jun-Boum;Oh, Myoung-Hak
    • Proceedings of the Korean Geotechical Society Conference
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    • 2010.03a
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    • pp.1006-1011
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    • 2010
  • This study was focused on the reactivity of furnace slag against cadmium to design the vertical drain method with reactive column for improving contaminated sea shore sediment. The removal capacity of furnace slag was analyzed using pseudo-second-order model. And the effective parameters of removal test were initial concentration and initial pH. According to equilibrium removal amount and reactive constant calculated by pseudo-second-order model, the removal capacity was analyzed. Equilibrium removal amount of furnace slag was linearly increased as increasing intial cadmium concentration. Because the pH was around 11, the removal mechanism of furnace slag could be both sorption and precipitation. Therefore the removal amount was increased due to initial concentration. pH was increased to around 11 in the case of "No treat", but the pH were 3.8 in the case of "HAc added" and 0.7 in the case of "HCl added". The removal amount was different 4.8, 1.19 and 0.27 mg/g. This results show the pH was major factor to remove cadmium using furnace slag.

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A Study on Vibrational Characteristics of Piping Systems in Petrochemical Plants Considering the Fluid Velocity and Pressure (유체의 속도와 압력을 고려한 석유화학 플랜트 배관계의 진동특성에 대한 연구)

  • Kim, Kyoung-Hoon;Kim, Jeong-Hoon;Choi, Myung-Jin
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.05a
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    • pp.1053-1060
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    • 2006
  • This paper consider an initially deformed state caused by the pressurized fluid flowing through the pipe at a constant velocity. When the initial forte is neglected in curved pipes, the natural frequencies are reduced as flow velocity increases. However, when the initial tension took into account, the natural frequencies are not changed with the change of the flow velocity. As the internal pipe pressure is increased the natural frequencies are also slightly increased. In free vibrational simulation of piping systems in petrochemical plants, it is necessary to calculate the initial state force due to the velocity and the pressure of the fluid flow from the equilibrium first, then the force should be included in the equation of motion of the systems to get more accurate natural frequencies. In this study, calculate the mass matrix and stiffness matrix of piping system by MATLAB

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A Comarative study on slope stability modeling of highly fractured rock slopes (절리암반사면의 안정해석 방법에 관한 비교연구)

  • Yoo, Chung-Sik;Kim, Sun-Bin;Yang, Ki-Ho;Jung, Ha-Seung
    • Proceedings of the Korean Geotechical Society Conference
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    • 2009.03a
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    • pp.434-443
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    • 2009
  • Slope stability analysis is an essential part of rock slope design. For highly fractured rock, the limit equilibrium method (LEM) based slope stability analysis with a circular failure surface is often carried out assuming the rock mass behaves more or less as a continuum. This paper examines first, the applicability of the finite-element method (FEM) based shear strength reduction (SSR) technique for highly fractured rock slope, and second the use of Mohr-Coulomb (MC) failure criterion in conjunction with generalized Hoek-Brown (HB) failure criterion. The numerical results on a number of cases are compared in terms of the factor of safety (FS). The results indicated that the FEM-based SSR technique yields almost the same FSs from LEM, and that the MC and HB failure criteria yield almost identical FSs when the strength parameters for MC failure criterion are obtained based on the modified HB failure criterion if and only if value of the Hoek-Brown constant $m_i$ is smaller than 10 and slope angle is smaller than 1:1, otherwise MC failure criteria over-estimate the factor of safety.

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The Effect of Pressure and Temperature on the Mesitylene-Iodine Charge Transfer Complex in n-Hexane (고압, 고온 유체의 물성연구. 메시틸렌과 요오드 사이의 전하이동착물에 대한 압력과 온도의 영향)

  • Oh Cheun Kwun;Jong Gi Jee;Jeong Rim Kim
    • Journal of the Korean Chemical Society
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    • v.24 no.6
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    • pp.405-412
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    • 1980
  • The effect of pressures and temperatures on the stabilities of the mesitylene-iodine charge transfer complex have been investigated through ultraviolet spectrophotometric measurements in n-hexane. The stabilities of complexes were measured at 25, 40 and $60^{\circ}C$ under 1∼1600 bars. The equilibrium constant of the complex was increased with pressure and decreased with temperature raising. The absorption coefficient was increased with both pressure and temperature. Changes of volume, enthalpy, free energy and entropy for the formation of complexes were obtained from the equilibrium constants. The red-shift observed a higher pressure, the blue-shift at a higher temperature and the relation between pressure and oscillator strength were discussed by means of thermodynamic functions.

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Ammonia Removal Model Based on the Equilibrium and Mass Transfer Principles

  • Yoon, Hyein;Lim, Ji-Hye;Chung, Hyung-Keun
    • Bulletin of the Korean Chemical Society
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    • v.29 no.3
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    • pp.555-561
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    • 2008
  • In air stripping of ammonia from the aqueous solution, a new removal model was presented considering the equilibrium principles for the ammonia in aqueous solution and between the aqueous and air phase. The effects of pH, temperature and airflow rate on the ammonia removal were evaluated with the model. In addition, the saturation degree of ammonia in air was defined and used to evaluate the effect of each experimental factor on the removal rate. As pH (8.9 to 11.9) or temperature (20 to 50 oC) was increased, the overall removal rate constants in all cases were appeared to be increased. Our presented model shows that the degrees of saturation were about the same (0.45) in all cases when the airflow condition remains the same. This result indicates that the effect of pH and temperature were directly taken into consideration in the model equation. As the airflow increases, the overall removal rate constants were increased in all cases as expected. However, the saturation degree was exponentially decreased with increasing the airflow rate in the air phase (or above-surface) aeration. In the subsurface aeration the saturation degree remains a constant value of 0.65 even though the airflow rate was increased. These results indicate that the degree of saturation is affected mainly by the turbulence of the aqueous solution and remains the same above a certain airflow rate.