• Title/Summary/Keyword: equilibrium temperature

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Iterative Cumulant Moment Method for solution of Boltzmann Equation and its Application to Shock Wave Structure (반복적 Cumulant 모멘트 방법에 의한 Boltzmann 방정식의 해법과 충격파구조에 관한 연구)

  • Ohr, Young Gie
    • Journal of the Korean Chemical Society
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    • v.42 no.4
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    • pp.398-410
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    • 1998
  • For non-linear solution of the Boltzmann equation, the cumulant moment method has been studied. To apply the method to the normal shock wave problem, we restricted ourselves to the monatomic Maxwell molecular gases. The method is based on the iterative approach developed by Maxwell-Ikenberry-Truesdell (MIT). The original MIT approach employs the equilibrium distribution function for the initial values in beginning the iteration. In the present work, we use the Mott-Smith bimodal distribution function to calculate the initial values and follow the MIT iteration procedure. Calculations have been carried out up to the second iteration for the profiles of density, temperature, stress, heat flux, and shock thickness of strong shocks, including the weak shock thickness of Mach range less than 1.4. The first iteration gives a simple analytic expression for the shock profile, and the weak shock thickness limiting law which is in exact accord with the Navier-Stokes theory. The second iteration shows that the calculated strong shock profiles are consistent with the Monte Carlo values quantitatively.

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Adsorption of methyl orange from aqueous solution on anion exchange membranes: Adsorption kinetics and equilibrium

  • Khan, Muhammad Imran;Wu, Liang;Mondal, Abhishek N.;Yao, Zilu;Ge, Liang;Xu, Tongwen
    • Membrane and Water Treatment
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    • v.7 no.1
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    • pp.23-38
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    • 2016
  • Batch adsorption of methyl orange (MO) from aqueous solution using three kinds of anion exchange membranes BI, BIII and DF-120B having different ion exchange capacities (IECs) and water uptakes ($W_R$) was investigated at room temperature. The FTIR spectra of anion exchange membranes was analysed before and after the adsorption of MO dye to investigate the intractions between dye molecules and anion exchange membranes. The effect of various parameters such as contact time, initial dye concentration and molarity of NaCl on the adsorption capacity was studied. The adsorption capacity found to be increased with contact time and initial dye concentration but decreased with ionic strength. The adsorption of MO on BI, BIII and DF-120B followed pseudo-first-order kinetics and the nonlinear forms of Freundlich and Langmuir were used to predict the isotherm parameters. This study demonstrates that anion exchange membranes could be used as useful adsorbents for removal of MO dye from wastewater.

Absorption Characteristics and Prediction Model of Ginger Powder by Different Drying Methods (건조방법에 따른 생강분말의 흡습특성과 예측모델에 관한 연구)

  • Shin, Hae-Kyoung;Hwang, Sung-Hee;Youn, Kwang-Sup
    • Korean Journal of Food Science and Technology
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    • v.35 no.2
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    • pp.211-216
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    • 2003
  • Absorption characteristics of hot air-. vacuum-, and freeze-dried ginger powder were investigated. Monolayer moisture content as determined by GAB equation was $0.257{\sim}0.540\;H_2O/g$, showing higher significance than BET equation. Absorption enthalpy was calculated based on different drying methods and water activities. Absorption energy decreased with increasing water activity but was not affected by drying method. Isotherm curves showed a typical sigmoid form. Among models applied for predicting equilibrium moisture content, Caurie model was the best fit model for ginger powder, showing the lowest prediction deviation of $1.2{\sim}5.4%$, followed by Henderson then Bradley models. The prediction model equations for the moisture content were established by in(time), water activity, and temperature.

Thermodynamic Equilibrium Analysis of Copper Chemical Vapor Deposition from Cu(II) Hexafluoroacetylacetonate Precursor (Cu(II) Hexafluoroacetylacetonate 프리커서에 의한 구리 화학증착의 열역학적 평형조성 해석)

  • Jeon, Chi-Hun;Kim, Yun-Tae;Baek, Jong-Tae;Yu, Hyeong-Jun;Park, Dong-Won;Choe, Byeong-Jin;Kim, Dae-Ryong
    • Korean Journal of Materials Research
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    • v.5 no.6
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    • pp.657-666
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    • 1995
  • Chemical vapor deposition of copper from the Cu(hfac)$_2$, Cu(II) hexafluoroacetylacetonate precursor, has been thermodynamically investigated by the minimization of Gibbs free energy of the system. For the Cu(hfac)$_2$-Ar system, carbon incorporation into the deposited films was observed in all the process conditions, which is presumably inherent from the thermal decomposition of the Cu(hfac)$_2$, precursor. For the Cu(hfac)$_2$-H$_2$system, lower temperatures were required than those of the Cu(hfac)$_2$-Ar system for the depositon of the copper films. Furthermore, we identified that the appearances of the condensed phases were sequentially changed from the codeposits of C(s)+CuF(s) to C(s)+CuF(s)+Cu(s), C(s)+Cu(s), Cu(s), and C(s), when the H$_2$input ratio and th reaction temperature were increased.

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Isothermal Vapor-Liquid Equilibria at 333.15K and Thermodynamic Excess Properties for the Binary System of Methanol+Dimethyl Carbonate (Methanol+Dimethyl Carbonate 혼합계의 333.15 K 등온 기-액 평형과 열역학 과잉 물성)

  • Han, Kyu-Jin;Park, So-Jin
    • Korean Chemical Engineering Research
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    • v.43 no.3
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    • pp.387-392
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    • 2005
  • Recently, dimethyl carbonate (DMC) is considered as an alternative of MTBE (methyl tert-butyl ether), additive for non-leaded gasoline with their fast biodegradation rate and low toxicity. DMC is usually synthesized so far by oxidative carbonylation of methanol, and recently developed synthetic process is also started with methanol. Since the phase equilibria of the system, consisted of DMC and methanol or other reaction products on different temperature and pressure is necessary for the optimum separation process design and operation. However the reported phase equilibria and physical properties for DMC mixtures in the Dortmund Data Bank (DDB; thermodynamic property data bank) are quite rare. Besides, infinitely dilute properties are not found. In this work, isothermal vapor-liquid equilibria at 333.15 K for methanol+DMC binary system and mixing properties, excess molar volume and viscosity deviation at 298.15 K are directly measured and correlated. Additionally, infinitely dilute activity coefficient of methanol in the DMC solvent at three different temperatures are measured and compared with predicted values using modified UNIFAC (Dortmund).

Adsorption Characteristics of Radioactive Cs Ion by Zeolite X (제올라이트 NaX에 의한 방사성 물질인 Cs 이온의 흡착 특성)

  • Lee, Chang-Han;Lee, Min-Gyu
    • Journal of Korean Society of Environmental Engineers
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    • v.39 no.2
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    • pp.66-73
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    • 2017
  • This study was to evaluate the influential parameters such as intial Cs concentration, reaction temperature, contact time and pH variation of solution on Cs adsorption. Using the experimental data, adsorption kinetics, isotherms and thermodynamic properties were analyzed. The Cs ion adsorption of the zeolite X was effective in the range from pH 5 to 10 and reached equilibrium after 60 minutes. The adsorption kinetics and isotherms of Cs ion with the zeolite X was described well by the pseudo-second-order kinetic and Langmuir isotherm model. The maximum adsorption capacities of Cs ion calculated from Langmuir isotherm model at 293~333 K were from 303.03 mg/g to 333.33 mg/g. It was found that thermodynamic property of Cs ion absorption on the zeolite X was spontaneous and endothermic reaction. The experimental data were fitted a second-order polynomial equation by the multiple regression analysis. The values of the dependent variable calculated by this best fitted model equation were in very good agreement with the experimentally obtained values.

Hydrothermal Alteration and Mineralization in the Granodioritic Stock of the Barton Peninsula, King George Island, Antarctica (남극 킹죠지섬 바톤반도 화강섬록암의 열수변질과 광화작용)

  • Hwang, Jeong;Lee, Jong Ik
    • Economic and Environmental Geology
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    • v.31 no.3
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    • pp.171-183
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    • 1998
  • Early Tertiary volcanics, volcanoclastics and granodiorite occur in the Barton Peninsula, King George Island, Antarctica. In the granodioritic stock and volcanic rocks, propylitic alteration characterized by actinolite, epidote, chlorite and calcite is widespread, and disseminations and veinlets of sulfide minerals such as pyrite, chalcopyrite and bornite are ubiquitious. The study on the hydrothermal alteration near granodioritic stock can be summarized as follows; (1) granodiorite intrusion is a small, high level stock associated with calc-alkaline volcanism, and have high copper content, (2) high temperature type of propylitic alteration and common occurrence of copper sulfides in and around granodiorite intrusion, (3) low ${\delta}^{34}S$ values of pyrites by oxidational conditions of sulfide deposition, (4) low ${\delta}^{34}S$ values of quartz and feldspar in the granodiorite, and isotopic non-equilibrium by hydrothermal alteration. It suggest that hyrothermal alteration and mineralization near granodioritc stock should be genetically related to granodiorite intrusion in the Barton Peninsula.

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Optical Diagnostics for Pulse-discharged Plasma by Marx Generator and Its Application for Modifications of Hemoglobin and Myoglobin Proteins

  • Park, Ji Hoon;Attri, Pankaj;Hong, Young June;Park, Bong Sang;Jeon, Su Nam;Choi, Eun Ha
    • Proceedings of the Korean Vacuum Society Conference
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    • 2013.08a
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    • pp.176.2-176.2
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    • 2013
  • Property of optical diagnostics for pulse-discharged plasma in liquid and its biological applications to proteins are investigated by making use of high voltage Marx generator. The Marx generator has been consisted of 5 stages, where each charging capacitor is 0.5 ${\mu}F$, to generate a high voltage pulse with rising time of $1{\mu}s$. We have applied an input voltage of 6 kV to the each capacitor of 0.5 ${\mu}F$. High voltage pulsed plasma has been generated inside a polycarbonate tube by a single-shot operation, where the breakdown voltage is measured to be 7 kV, current of 1.2 kA, and pulse width of ~ 1 ${\mu}s$ between the two electrodes of anode-cathode whose material is made of tungsten pin, which are immersed into the liquids. We have investigated the emitted hydrogen lines for optical diagnostics of high voltage pulsed plasma. The emission line of 656.3 nm from $H-{\alpha}$ and 486.1 nm from $H-{\beta}$ have been measured by a monochromator. If we assumed that the focused plasma regions satisfy the local thermodynamic equilibrium conditions, the electron temperature and density of the high voltage pulsed plasma in liquid could be obtained by the Stark broadening of optical emission spectroscopy. For the investigation of the influence of pulsed plasma on biological proteins, we have exposed it onto the proteins such as hemoglobin and myoglobin. The structural changes in these proteins and their analysis have also been obtained by circular dichroism (CD) and ultraviolet (UV) visible spectroscopy.

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Defect Chemistry of Ca and Nb doped $BaTiO_3$ (Ca와 Nb가 첨가된 $BaTiO_3$의 결함화학)

  • Jeong, Jae-Ho;Han, Yeong-Ho;Park, Sun-Ja
    • Korean Journal of Materials Research
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    • v.4 no.7
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    • pp.798-807
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    • 1994
  • The increase in the resistance of $BaTio_{3}$ with addition of Ca is attributed to the formation ofthe acceptor impurity by $CaCa^{2+}$" which substitutes Ti4+. However, some authors suggested that $Ca^{2+}$ can not substitute $Ti^{4+}$ because of its larger ionic radius. In this work, the existence of acceptor by Ca hasbeen studied through the high temperature equilibrium electrical conductivity of $BaTiO_{3}$ codoped with Caand Nb, where Ba/(Ti+Ca+Nb) was kept equal to unity. It was measured at $1000^{\circ}C$, and the oxygenpartial pressure was controlled between $10^{-15}$ ~ 1 atm. Changing the amount of added Ca and Nbresulted in the compensation effect between donor and acceptor, i.e., Nb was compensated by the acceptor.And through the defect chemical interpretation of the measured data, it was concluded that Ti canbe substitued with Ca. The existence of such acceptor was reaffirmated by ICTS(Isotherma1 CapacitanceTransient Spectroscopy) measurements.oscopy) measurements.

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Adsorption Thermodynamics, Kinetics and Isosteric Heat of Adsorption of Rhodamin-B onto Granular Activated Carbon (입상 활성탄에 의한 Rhodamin-B의 흡착 열역학, 동력학 및 등량 흡착열에 관한 연구)

  • Lee, Jong Jib
    • Applied Chemistry for Engineering
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    • v.27 no.2
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    • pp.199-204
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    • 2016
  • The adsorption of Rhodamine-B dye using granular activated carbon from aqueous solution was investigated. Adsorption experiments were carried out as a function of the adsorbent dose, pH initial concentration, contact time and temperature. The equilibrium adsorption data showed a good fit to Langmuir isotherm model. Based on the estimated Langmuir separation factor ($R_L$ = 0.0164~0.0314), our adsorption process could be employed as an effective treatment method. The kinetics of adsorption followed the pseudo first order model. Also, the negative values of Gibbs free energy (-4.51~-13.44 kJ/mol) and positive enthalpy (128.97 kJ/mol) indicated that the adsorption was spontaneous and endothermic process. The isosteric heat of adsorption increased with increase in the surface loading indicating lateral interactions between the adsorbed dye molecules.