• Title/Summary/Keyword: Thermodynamic Equilibrium

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The Effect of Pressures on the Formation of Charge Transfer Complexes of Toluene with Iodine (I) (톨루엔과 요오드 사이의 전하이동착물에 대한 압력의 영향 (I))

  • Kwun Oh Cheun
    • Journal of the Korean Chemical Society
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    • v.19 no.2
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    • pp.73-84
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    • 1975
  • The effect of pressures and temperatures on the stabilities of the toluene-iodine charge transfer complex have been investigated through ultraviolet spectrophotometric measurements in n-hexane. The stabilities of complexes were measured at $25~60{\circ}C$ under 1~1,200 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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Equilibrium and Kinetic Studies of the Biosorption of Dissolved Metals on Bacillus drentensis Immobilized in Biocarrier Beads

  • Seo, Hanna;Lee, Minhee;Wang, Sookyun
    • Environmental Engineering Research
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    • v.18 no.1
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    • pp.45-53
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    • 2013
  • Biocarrier beads with dead biomass, Bacillus drentensis, immobilized in polymer polysulfone were synthesized to remove heavy metals from wastewater. To identify the sorption mechanisms and theoretical nature of underlying processes, a series of batch experiments were carried out to quantify the biosorption of Pb(II) and Cu(II) by the biocarrier beads. The parameters obtained from the thermodynamic analysis revealed that the biosorption of Pb(II) and Cu(II) by biomass immobilized in biocarrier beads was a spontaneous, irreversible, and physically-occurring adsorption phenomenon. Comparing batch experimental data to various adsorption isotherms confirmed that Koble-Corrigan and Langmuir isotherms well represented the biosorption equilibrium and the system likely occurred through monolayer sorption onto a homogeneous surface. The maximum adsorption capacities of the biocarrier beads for Pb(II) and Cu(II) were calculated as 0.3332 and 0.5598 mg/g, respectively. For the entire biosorption process, pseudo-second-order and Ritchie second-order kinetic models were observed to provide better descriptions for the biosorption kinetic data. Application of the intra-particle diffusion model showed that the intraparticle diffusion was not the rate-limiting step for the biosorption phenomena. Overall, the dead biomass immobilized in polysulfone biocarrier beads effectively removed metal ions and could be applied as a biosorbent in wastewater treatment.

Modelling and Analysis of Electrodes Erosion Phenomena of $SF_6$ Arc in a Laval Nozzle

  • Lee, Byeong-Yoon;Liau, Vui Kien;Song, Ki-Dong;Park, Kyong-Yop
    • Proceedings of the KIEE Conference
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    • 2005.07b
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    • pp.972-974
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    • 2005
  • The present work deals with the theoretical study of the effects of copper vapours resulting from the erosion of the electrodes on the properties of a SF6 arc in a Laval nozzle. Computations have been done for a DC arc of 1000A with upstream gas pressure of 3.75MPa. The arc plasma is assumed to be in local thermodynamic equilibrium(LTE). The sheath and non-equilibrium region around the electrodes are not considered in this model. However, its effects on the energy flux into the electrodes are estimated from some experimental and theoretical data. The turbulence effects are calculated using the Prandtl mixing length model. A conservation equation for the copper vapour concentration is solved together with the governing equations for mass, momentum and energy of the gas mixture. Comparisons were made between the results with and without electrodes erosion. It has been found that the presence of copper vapours cools down the arc temperature due to the combined effects of increased radiation and increased electrical conductivity. The copper vapour distribution is very sensitive to the turbulent parameter. The erosion of upstream electrode(cathode) has larger effects on the arc compared to the downstream electrode(anode) as the copper vapour eroded from the anode cannot diffuse against the high-speed axial flow.

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Modelling of strains in reinforced concrete flexural members using alpha-stable distribution

  • Rao, K. Balaji;Anoop, M.B.;Kesavan, K.;Balasubramanian, S.R.;Ravisankar, K.;Iyer, Nagesh R.
    • Computers and Concrete
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    • v.11 no.5
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    • pp.411-440
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    • 2013
  • Large fluctuations in surface strain at the level of steel are expected in reinforced concrete flexural members at a given stage of loading due to the emergent structure (emergence of new crack patterns). This has been identified in developing deterministic constitutive models for finite element applications in Ibrahimbegovic et al. (2010). The aim of this paper is to identify a suitable probability distribution for describing the large deviations at far from equilibrium points due to emergent structures, based on phenomenological, thermodynamic and statistical considerations. Motivated by the investigations reported by Prigogine (1978) and Rubi (2008), distributions with heavy tails (namely, alpha-stable distributions) are proposed for modeling the variations in strain in reinforced concrete flexural members to account for the large fluctuations. The applicability of alpha-stable distributions at or in the neighborhood of far from equilibrium points is examined based on the results obtained from carefully planned experimental investigations, on seven reinforced concrete flexural members. It is found that alpha-stable distribution performs better than normal distribution for modeling the observed surface strains in reinforced concrete flexural members at these points.

The Study on the Physicochemical Properties of Fluid under High Pressure (Ⅱ). The Effect of Pressure and Temperature on the Hexamethyl Benzene-Iodine Charge Transfer Complex in n-Hexane

  • Kwun Oh Cheun;Kim Jeong Rim
    • Bulletin of the Korean Chemical Society
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    • v.6 no.4
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    • pp.186-191
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    • 1985
  • The effect of pressure and temperature on the stabilities of the charge transfer complexes of hexamethyl benzene with iodine in n-hexane has been investigated by UV-spectrophotometric measurements. In this experiment the absorption spectra of mixed solutions of hexamethyl benzene and iodine in n-hexane were measured at 25, 40 and $60^{\circ}C$ under 1,200, 600, 1200 and 1600 bar. The equilibrium constant of the complex formation was increased with pressure while being decreased with temperature raising. Changes of volume, enthalpy, free energy and entropy for the formation of the complexes were obtained from the equilibrium constants. The red shift at higher pressure, the blue shift at higher temperature and the relation between pressure and oscillator strength were discussed by means of thermodynamic functions. In comparison with the results in the previous studies, it can be seen that the pressure dependence of oscillator strength has a extremum behavior in durene as the variation of ${\Delta}H$ or ${\Delta}S$ with the number of methyl groups of polymethyl benzene near atmospheric pressure in the previous study. The shift or deformation of the potential in the ground state and in the excited state of the complexes formed between polymethyl benzene and iodine was considered from the correlation between the differences of the electron transfer energies and the differences of free energies of the complex formation for the pressure variation.

Studies on the Application of the Spent Alkaline Manganese Batteries Powder as an Adsorbent for Nickel Ion (폐(廢)알칼리망간전지(電池) 분말(粉末)의 니켈 이온 흡착제(吸着劑)로서의 활용(活用)에 관한 연구(硏究))

  • Baek, Mi-Hwa;Kim, Dong-Su;Sohn, Jeong-Soo
    • Resources Recycling
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    • v.17 no.2
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    • pp.63-69
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    • 2008
  • The adsorption features of $Ni^{2+}$ onto spent alkaline manganese batteries powder have been investigated with the adsorbent dose, initial concentration of adsorbate and temperature as the experimental variables. The adsorption reaction of $Ni^{2+}$ ion followed the pseudo-second order rate model, and the adsorption rate constants($k_2$) decreased with increasing initial concentration of nickel ion. The equilibrium adsorption data were fitted to the Langmuir and Freundlich models. The Freundlich model represents the equilibrium data better than the Langmuir model in this initial adsorbate concentration range. As the temperature increased, the adsorbed amount of nickel ion at equilibrium was also increased, which indicated that the adsorption reaction was endothermic. Based on the experimental results obtained along with temperatures, thermodynamic parameters such as ${\Delta}H^{\circ},\;{\Delta}G^{\circ},\;and\;{\Delta}S^{\circ}$ were calculated.

A Permeation Behavior for the Pervaporation of Aqueous Ethanol Solution (에탄올 수용액의 Pervaporation에서의 투과거동)

  • Bae, Seong-Youl;Lee, Han-Sun;Hwang, Seong-Min;Kim, Hee-Taik;Kumazawa, Hidehiro
    • Applied Chemistry for Engineering
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    • v.5 no.1
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    • pp.127-138
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    • 1994
  • In the process of pervaporation separation for aqueous ethanol solution through cellulose tai-acetate(CTA) membrane, the modelling on the solution-diffusion permeation mechanism was built up on the basis of sorption and permeation experimental results. Also its function type and parameter were examined. The composition of sorption equilibrium in three component system(Ethanol/Water/CTA) were compared with the calculated value by Flory-Huggins' equation using the pure component sorption data. In order to apply the thermodynamic equilibrium relationship between the membrane free composition in the membrane and the equilibrium composition in the liquid phase, the apparent activity this system, however, the results were not satisfied. Diffusion equations were expressed with the concentration gradient considering permeate alone, and a concentration-dependent diffusion coefficient which includes a parameter was used. And this model was fitted with the measured permeation rates. If the permeation rate and the amount of sorption of one component were much larger than those of the other, the bulk flow term could not be negligible. The flux and selectivity were increased with increasing temperature, and with decreasing downstream pressure.

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Oxygen Equilibrium and the Solubility of MgO in CaO-FetO-MgO-SiO2(≤5mass%)-ΣMxOy Slags and Molten Iron (CaO-FetO-MgO-SiO2(≤5mass%)-ΣMxOy계 슬래그의 MgO포화용해도와 용철 간 산소평형)

  • Shin, Dong-Yeop;Lee, Joo-Ho;Hong, Seong-Hun;You, Byung-Don;Seo, Seong-Mo;Park, Jong-Min
    • Korean Journal of Metals and Materials
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    • v.48 no.8
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    • pp.765-774
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    • 2010
  • Oxygen equilibrium and the solubility of MgO have been measured in the $CaO-Fe_tO-MgO-SiO_2({\leq}5mass%)-{\Sigma}M_xO_y$ slag in equilibrium with liquid iron in the temperature range of 1550 to $1700^{\circ}C$. The effect of oxides on the MgO solubility, and a method for calculating the solubility of MgO using slag composition and temperature,were discussed. The solubility of MgO is increased with increasing temperature and $Fe_tO$ content, and with decreasing basicity (C/S). The effect of ${\Sigma}M_xO_y$ on the solubility of MgO is a dilution effect due to the increase in slag volume. The activity and activity coefficient of $Fe_tO$ decreased with increasing basicity (B). The effect of temperature on the activity was negligible. The value of ${\rho}=Fe^{3+}/Fe^{2+}$ increased with the increase of the slag basicity (B") and the decrease of the $Fe_tO$ content in the slag.

Numerical calculations of characteristics of Argon arc plasma using the control volume method (제어체적법에 의한 Ar 아크 플라즈마의 특성 계산)

  • Kim, Oe-Dong;Ko, Kwang-Cheol;Kang, Hyung-Boo
    • Proceedings of the KIEE Conference
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    • 1995.07c
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    • pp.1404-1406
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    • 1995
  • In this paper, argon gas was used for numerical analysis of an arc in a cutting plasma torch driven by constant current. We established nozzle-constricting type torch domain and calculated steady state characteristics of argon arc plasma using the control volume method(CVM). For simplicity, we assumed that the flow field is laminar and the local thermodynamic equilibrium(LTE) prevails in all domain regions. We also neglected cathode-fall and anode-fall effects. Considering magnetic pinch effect and viscosity effect, we solved the momentum equation. Voltage drop in the arc column due to input current was calculated from the temperature field obtained by the energy balance equation.

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Thermodynamic Analysis of Silicon Reduction Reaction in Arc Furnace (아크로를 이용한 실리콘 환원 반응의 열역학적 해석)

  • Park, Dongho;Kim, Dae-Suk;Lee, Sang-Wook;Moon, Byoungmoon;Yu, Tae U
    • 한국신재생에너지학회:학술대회논문집
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    • 2010.06a
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    • pp.70.2-70.2
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    • 2010
  • 고순도 금속규소는 반도체, 태양전지 및 규소화 화합물 등의 원료로 사용되어왔으며, 최근 태양전지 시장 확대로 인해 고순도 금속규소의 수요가 증가하고 있다. 그러나 전량 수입 중인 고순도 금속규소의 수급 안정성과 품질 균일성 등이 문제가 되고 있어, 고순도 생산 공정 및 생산 에너지를 절감 공정에 관한 연구 개발이 필요한 실정이다. 이에 본 연구에서는 금속규소의 원료인 규석(SiO2)과 카본(C)의 환원반응을 온도와 압력별로 살펴보고, 평형 상태의 금속규소수율 조건을 알아보았다. 그리고 아크로 내부 위치에 따른 산화/환원 반응식을 고찰하여 주요 반응식의 깁스 자유 에너지를 비교 분석 하였다. 본 해석을 통한 실험용 아크로 제작과 기초실험을 통해 금속 규소 생산 수율 및 순도를 평가하였으며, 생산된 실리콘의 최대 순도는 약 99.8%로 측정되었다.

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