• Title/Summary/Keyword: equilibria

Search Result 341, Processing Time 0.027 seconds

Extraction Equilibria and Analytical Application of Metal-Dithizone Complexes(II) Partition and Extraction Equilibria into Chloroform (디티존 금속착물의 용매추출평형과 분석적 응용(제2보) 클로로포름 용매에 대한 분배 및 추출평형)

  • Choi, Yoon-Seok;Choi, Hee-Seon;Kim, Young-Sang
    • Analytical Science and Technology
    • /
    • v.10 no.5
    • /
    • pp.370-377
    • /
    • 1997
  • The several fundamental parameters on the solvent extraction of Co(II), Cu(II) and Zn(II) with dithizone were investigated. The value of $K_{a1}/K_p$ of dithizone(at $25^{\circ}C$) between an aqueous phase and a chloroform was found to be $4.72{\times}10^{-11}$. And the mole ratios of metal ion to dithizone in its metal complexes were determined by mole ratio method. The extractibilities(%) for metal-dithizone chelates were obtained from the extraction equilibria of metal-dithizone complexes between an aqueous phase and a chloroform as follows. Co(II) : 92.3% at pH 8.0 : Cu(II) : 97.1% at pH 4.0 and Zn(II) : 99.0% at pH 7.0. And also, in optimum experimental conditions the extraction constants of Co(II), Cu(II) and Zn(II) were examined.

  • PDF

Phase Equilibria and Formation Behaviors of Methane Hydrate with Ethylene Glycol and Salts (에틸렌글리콜과 염이 포함된 메탄 하이드레이트의 상평형과 형성 거동)

  • Kim, Dong Hyun;Park, Ki Hun;Cha, Minjun
    • Korean Chemical Engineering Research
    • /
    • v.58 no.4
    • /
    • pp.635-641
    • /
    • 2020
  • In this study, phase equilibria and formation behaviors of methane hydrate containing mono-ethylene glycol (MEG) and salts (sodium chloride, NaCl; sodium bromide, NaBr; sodium iodide, NaI) are investigated. Equilibrium conditions of methane hydrate containing MEG and salts are measured in a temperature range 272~283 K and a pressure range 3.5~11 MPa. Hydrate inhibition performance in the presence of additives can be summarized as follows: methane hydrate containing (5 wt% NaCl + 10 wt% MEG) > (5 wt% NaBr + 10 wt% MEG) > (5 wt% NaI + 10 wt% MEG). Formation behaviors of methane hydrate with MEG and salts are investigated for analyzing the induction time, gas consumption amount and growth rate of methane hydrates. There are no significant changes in the induction time during methane hydrate formation, but the addition of MEG and salts solution during hydrate formation can affect the gas consumption amount and growth rate.

Ionic Equilibria in $ZnSO_4-Na_2SO_4-H_2SO_4-NaOH-H_2O$ System ($ZnSO_4-Na_2SO_4-H_2SO_4-NaOH-H_2O$계의 이온 평형)

  • 이만승;박현주;나춘기
    • Resources Recycling
    • /
    • v.11 no.1
    • /
    • pp.19-25
    • /
    • 2002
  • For $ZnSO_4$-$Na_2$$SO_4$-$H_2$ $SO_4$-$NaOH-H_2$O system, pH of solutions with different electrolyte concentrations was measured at $25^{\circ}C$ and ionic equilibria were analyzed by using K-value method. Activity of water and activity coefficients of solutes were calculated by Pitzer equation. The equilibrium concentration and activity coefficients of solutes were calculated from initial experimental conditions. At high ionic strength of 4m, the pH values calculated were in good agreement with those measured. In the experimental ranges of ionic strength of solution from 3.5 to 4.3 m, the mean activity coefcient of $ZnSO_4$calculated agreed well with those obtained from literature.

Equilibria between Low-spin State ($D_{4h}$) and High-spin State ($O_h$) of the Ni(II)-$N_4$ Complex Ion ($N_4$ : 2,12-dimethyl-3,7,11,17-tetraazabicyclo-11,3,1-heptadeca-1(17),2,11,13,15-pentaene) (Ni(II)-$N_4$ 착이온의 낮은 스핀상태 ($D_{4h}$)와 높은 스핀상태 ($O_h$)간의 평형 ($N_4$ : 2,12-dimethyl-3,7,11,17-tetraazabicyclo-11,3,1-heptadeca-1(17),2,11,13,15-pentaene))

  • Yu-Chul Park;Jong-Chul Byun;Mahn-Su Yu
    • Journal of the Korean Chemical Society
    • /
    • v.33 no.6
    • /
    • pp.607-613
    • /
    • 1989
  • The chemical equilibria of Ni(II)-tetraamine (tetraamine = 2,12-dimethyl-3,7,11,17-tetraazabicyclo-11,3,1-heptadeca-1(17),2,11,13,15-pentaene) complex ion in water, acetonitrile, acetone and nitromethane were investigated using spectrophotometric method, respectively. The equilibria between low-spin ($D_{4h}$) and high-spin ($O_h$) structures of Ni-tetraamine complex ion were presented in water, acetonitrile and acetone, but not in nitromethane. The eqilibrium constants, the reaction enthalpies and the reaction entropies were determined from analysis of the temperature dependence of the electronic spectra. The formation of the triplet species ($O_h$) was found to be exothermic. The solvent and electrolyte effects on the equilibrium constants could be explained by the dielectric constants of solvents and the reaction entropies.

  • PDF

Carbon Dioxide-Isopropyl Alcohol System: High Pressure Phase Behavior and Application with SAFT Equation of State (이산화탄소-이소프로필 알코올계: 고압 상거동 및 SAFT 상태방정식 적용)

  • Kwak, Chul;Byun, Hun-Soo
    • Applied Chemistry for Engineering
    • /
    • v.10 no.2
    • /
    • pp.324-329
    • /
    • 1999
  • In this work, high pressure binary phase equilibria data of carbon dioxide and isopropyl alcohol were obtained by experiment. A static type experimental apparatus was made to measure temperature, pressure and phase equilibria composition. The experimental apparatus was tested by comparing the measured phase equilibria data of the carbon dioxide-isopropyl alcohol system at $80^{\circ}C$ with those of Rodosz. The binary phase behavior data of carbon dioxide-isopropyl alcohol system were measured in range of 41 to 133 bar and at temperatures of 40, 60, 80, 100 and $120^{\circ}C$. The solubility of isopropyl alcohol increases as the temperatures increases at constant pressure. Also, these carbon dioxide-alcohol solute system have critical-mixture curves that exhibit maxima in pressure at temperatures between the critical temperatures of carbon dioxide and isopropyl alcohol. The experimental data obtained in this study were modeled using the statistical associating fluid theory(SAFT) equation of state. A good fit of the data was obtained with SAFT using two adjustable parameters for the carbon dioxide-isopropyl alcohol system.

  • PDF

A Comparative Study on the Prediction of Vapor-Liquid Equilibria for the Ethanol-Benzene Mixture between Equation of State Model and Liquid Activity Coefficient Model (비이상적 상거동을 보이는 이성분계 혼합물의 기액 상평형 추산을 위한 상태방정식과 액체 활동도계수 모델 사이의 비교연구)

  • Cho, Jung-Ho;Lee, Ji-Hwan
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.11 no.5
    • /
    • pp.1747-1753
    • /
    • 2010
  • In this study, a comparative study was performed to predict the vapor-liquid equilibria with maximum azeotropic pressure for ethanol-benzene binary system between an equation of state model and a liquid activity coefficient model. Peng-Robinson equation of state model with a Panatiotopoulos mixing rules (PRP) was used and NRTL liquid activity coefficient model proposed by Renon was selected. The PRP model, even though it has only two binary adjustable parameters, was not inferior to the NRTL model to predict vapor-liquid equilibria for low pressure region of ethanol-benzene system and showed a better prediction capability for high pressure region of ethanol-benzene system than the NRTL model with three binary interaction parameters.

The Duration of Punctuated Equilibria in Simple Genetic Algorithms (단순 유전 알고리즘에서 단속평형의 지속시간에 대한 연구)

  • Oh, Sang-Yeop
    • Journal of KIISE:Software and Applications
    • /
    • v.32 no.11
    • /
    • pp.1059-1070
    • /
    • 2005
  • For genetic algorithms, the population may get stuck in a local optimum. The population can escape from this after a long duration. This phenomenon is called punctuated equilibrium. The punctuated equilibria observed in nature and computational ecosystems are known to be well described by diffusion equations. In this paper, simple genetic algorithms are theoretically analyzed to show that they can also be described by a diffusion equation. When fitness is the function of unitation, this analysis can be further refined to make the parameters of genetic algorithms appear in this equation. Using theoretical results on the diffusion equation, the duration of equilibrium is shown to be exponential of such parameters as population size, 1/(mutation probability), and potential barrier. This is corroborated by simulation results for bistable potential landscapes with one local optimum and one global optimum.

Salinity Effect on the Equilibria and Kinetics of the Formation of CO2 and R-134a Gas Hydrates in Seawater

  • Johanna, Lianna;Kim, A Ram;Jeong, Guk;Lee, Jea-Keun;Lee, Tae Yun;Lim, Jun-Heok;Won, Yong Sun
    • Korean Journal of Materials Research
    • /
    • v.26 no.7
    • /
    • pp.382-387
    • /
    • 2016
  • Gas hydrates are crystalline solids in which gas molecules (guests) are trapped in water cavities (hosts) that are composed of hydrogen-bonded water molecules. During the formation of gas hydrates in seawater, the equilibria and kinetics are then affected by salinity. In this study, the effects of salinity on the equilibria of $CO_2$ and R134-a gas hydrates has been investigated by tracing the changes of operating temperature and pressure. Increasing the salinity by 1.75% led to a drop in the equilibrium temperature of about $2^{\circ}C$ for $CO_2$ gas hydrate and $0.38^{\circ}C$ for R-134a gas hydrate at constant equilibrium pressure; in other words, there were rises in the equilibrium pressure of about 1 bar and 0.25 bar at constant equilibrium temperature, respectively. The kinetics of gas hydrate formation have also been investigated by time-resolved in-situ Raman spectroscopy; the results demonstrate that the increase of salinity delayed the formation of both $CO_2$ and R134-a gas hydrates. Therefore, various ions in seawater can play roles of inhibitors for gas hydrate formation in terms of both equilibrium and kinetics.

A Study on Evaluation Method of Mixed Nash Equilibria by Using the Cournot Model for N-Genco. in Wholesale Electricity Market (도매전력시장에서 N명 발전사업자의 꾸르노 모델을 이용한 혼합 내쉬 균형점 도출 방법론 개발 연구)

  • Lim, Jung-Youl;Lee, Ki-Song;Yang, Kwang-Min;Park, Jong-Bae;Shin, Joong-Rin
    • Proceedings of the KIEE Conference
    • /
    • 2003.07a
    • /
    • pp.639-642
    • /
    • 2003
  • This paper presents a method for evaluating the mixed nash equilibria of the Cournot model for N-Gencos. in wholesale electricity market. In the wholesale electricity market, the strategies of N-Genco. can be applied to the game model under the conditions which the Gencos. determine their stratgies to maximize their benefit. Generally, the Lemke algorithm is evaluated the mixed nash equlibria in the two-player game model. However, the necessary condition for the mixed equlibria of N-player are modified as the necessary condition of N-1 player by analyzing the Lemke algorithms. Although reducing the necessary condition for N-player as the one of N-1 player, it is difficult to and the mixed nash equilibria participated two more players by using the mathmatical approaches since those have the nonlinear characteristics. To overcome the above problem, this paper presents the generalized necessary condition for N-player and proposed the object function to and the mixed nash equlibrium. Also, to evaluate the mixed equilibrium through the nonlinear objective function, the Particle Swarm Optimization (PSO) as one of the heuristic algorithm are proposed in this paper. To present the mixed equlibria for the strategy of N-Gencos. through the proposed necessry condition and the evaluation approach, this paper proposes the mixed equilibrium in the cournot game model for 3-players.

  • PDF

Theoretical Studies on the Progonation Equilibria of Benzoyl Derivatives

  • Kim, Wang Gi;Kim, Yong Bin;Kim, Chang Gon;Lee, Bon Su
    • Bulletin of the Korean Chemical Society
    • /
    • v.22 no.4
    • /
    • pp.395-400
    • /
    • 2001
  • The effects of ortho- (R = H and CH3) and Y-substituents (Y = OCH3, CH3H and CN), which are directly attached to the carbonyl carbon, on the protonation equilibria of the para-X-substituted benzoyl derivatives, 4-X -2, 6-di-R-C6H2-C(=O)-Y, are investigated theoretically using the B3LYP method with 6-31+G* basis set. Structurally, both of the (B) and (BH+ ) forms in the species with R = H are nearly coplanar regardless of the Y-substituents implying that the steric repulsion between Y-substituent and R = H is relatively small. In the species with R = CH3 , the tortional angle (Θ) between the carbonyl moiety and aryl ring varies from zero to near right angle depending on the degree of steric repulsion between Y and R = CH3 and the resonance demand. However the reaction energies, ΔG°, for the protonation processes are more favorable for R = CH3 than for R = H due to stronger electron donating effect of R = CH3 , although the species with R = CH3 are unfavorable sterically. On the other hand, the Hammett type plots are progressively better correlated with б+ than with б values on going from Y = OCH3 to Y = CN for both species with R = H and CH3 indicating that the degree of resonance delocalization between carbonyl moiety and X-substituent is increased for a more electron accepting Y-substituent. Nevertheless the effects of R = CH3 on the magnitude of Hammett type reaction constants ( б or б+ ) are not much different from those of R = H.