• Title/Summary/Keyword: Equilibria

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Experimental Study of the Phase Equilibria for $CO_2$ in Liquified Natural Gas Components at 77-219K

  • Yun, Sang-Kook
    • International Journal of Air-Conditioning and Refrigeration
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    • v.11 no.2
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    • pp.61-66
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    • 2003
  • In order to prevent roll-over and a rapid boil-off of LNG in tanks, the phase equilibria of carbon dioxide in liquefied natural gas components as binary mixtures at cryogenic temperatures have been experimentally measured using Fourier transform infrared spectroscopy in conjunction with a specially designed variable pressure/temperature cryostat cell (pathlength 2 mm; pressures up to 30 bar). Solid carbon dioxide has been found to be comparatively soluble in liquid nitrogen (3.25$\times$${10}^{-6}$ mole fraction), liquid methane (1.04$\times$${10}^{-4}$ mole fraction), liquid ethane (3.1$\times$${10}^{-2}$ mole fraction) and liquid propane (6.11$\times$${10}^{-2}$ mole fraction) at their normal boiling temperatures. The solubilities of carbon dioxide in various cryogens, which increased with increasing temperature, are much lower than those obtained by others using gas chromatography. The differences are attributed to infrared spectroscopy selectively measuring dissolved solute in situ whereas gas chromatography measures microscopic particulate solid in addition to dissolved solute.

Postbuckling strength of an axially compressed elastic circular cylinder with all symmetry broken

  • Fujii, Fumio;Noguchi, Hirohisa
    • Structural Engineering and Mechanics
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    • v.11 no.2
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    • pp.199-210
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    • 2001
  • Axially compressed circular cylinders repeat symmetry-breaking bifurcation in the postbuckling region. There exist stable equilibria with all symmetry broken in the buckled configuration, and the minimum postbuckling strength is attained at the deep bottom of closely spaced equilibrium branches. The load level corresponding to such postbuckling stable solutions is usually much lower than the initial buckling load and may serve as a strength limit in shell stability design. The primary concern in the present paper is to compute these possible postbuckling stable solutions at the deep bottom of the postbuckling region. Two computational approaches are used for this purpose. One is the application of individual procedures in computational bifurcation theory. Path-tracing, pinpointing bifurcation points and (local) branch-switching are all applied to follow carefully the postbuckling branches with the decreasing load in order to attain the target at the bottom of the postbuckling region. The buckled shell configuration loses its symmetry stepwise after each (local) branch-switching procedure. The other is to introduce the idea of path jumping (namely, generalized global branch-switching) with static imperfection. The static response of the cylinder under two-parameter loading is computed to enable a direct access to postbuckling equilibria from the prebuckling state. In the numerical example of an elastic perfect circular cylinder, stable postbuckling solutions are computed in these two approaches. It is demonstrated that a direct path jump from the undeformed state to postbuckling stable equilibria is possible for an appropriate choice of static perturbations.

Adsorption Equilibria of Acetic Acid on Activated Carbon (활성탄에서의 아세트산 흡착거동 연구)

  • Park, Kyong-Mok;Nam, Hee-Geun;Mun, Sungyong
    • Korean Chemical Engineering Research
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    • v.53 no.1
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    • pp.127-130
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    • 2015
  • In this study, the adsorption equilibria of acetic acid on activated carbon were investigated at the temperatures of 313.15 K and 323.15 K. The obtained adsorption data were then fitted by Langmuir, Bi-Langmuir, and Freundlich models, in which the relevant model parameters were determined by minimizing the sum of the squares of deviations between experimental data and calculated values. The comparison results revealed that Bi-Langmuir model could account for the adsorption equilibrium data of acetic acid with the highest accuracy among the three adsorption models considered.

Ionic Equilibria Analysis of $NiCl_2$ in Chloride Solutions by Using Bromley Equation (염산용액에서 Bromley식을 이용한 염화니켈의 이온평형해석)

  • Lee Man-Seung;Lee Gwang-Seop
    • Resources Recycling
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    • v.12 no.3
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    • pp.38-45
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    • 2003
  • ionic equilbria of nickel chloride in hydrochloric acid solutions were analyzed by considering chemical equilibria, mass and charge balance equations. The activity coefficients of solutes were calculated by using Bromley equation. It was found that most of species containing nickel existed as $Ni^{2+}$$NiCl^{+}$. The mole fractions of nickel hydroxides were very low in the con-centration ranges considered in this study and the mole fraction of$Ni_4$ $(OH)_{4}^{4+}$ increased greatly with the pH of the solution. The pH values of $NiCl_2$ $-HCl-NaOH-H_2$O system at $25^{\circ}C$ calculated in this study agreed well with those experimentally measured up to ionic strength of 9.4m.

Transmission of Substituent Effects through Five-Membered Heteroaromatic Rings. III. Addition Equilibria of Hydroxide Anion to Benzaldehyde Analogues

  • Son, Chang Guk;Jeon, Yeong A;Lee, Sun Gi;Kim, Chang Geon;Kim, Chan Gyeong;Lee, Ik Chun
    • Bulletin of the Korean Chemical Society
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    • v.21 no.12
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    • pp.1202-1206
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    • 2000
  • Transmission of substituent effects through 5-membered heteroaromatic rings is investigated theoretically at the RHF/6-31+G and B3LYP/6-31+G levels using the equilibria for the $OH^- addition to five-membered heteroaromatic aldehydes (5MHA). The transmission efficiency (S) in 5MHA(A) increases in the order NH>O>S>PH but the order exactly reverses in 5MHA($T^-$). This is originated by the delocalizability of the ${\pi}$ lonepair on Y, $$n_\pi$(Y)$. A better correlation is obtained with ${\sigma}_p^-$ in the Hammett plots with positive slope, $p_z$ > 0, indicating that the substituent (Z) effects are not transmitted by a direct conjugation. The magnitude of $p_z$ for Y=NH is the largest among the heteroaromatic systems, which is consistent with the largest transmission efficiency change $({\Delta}S)$. The equilibria for the addition processes are favorable in the gas phase $({\Delta}G^o<0)$, which reverses to unfavorable in aqueous solution $({\Delta}G^o>0)$ due to the relatively large salvation energy of $OH^-$ in the initial state in aqueous solution. The orders of ${\Delta}G^o$ and $p_z$ in the gas phase are almost maintained in solution.

Study on the Phase Equilibria of Binary Systems Containing Ditetrahydrofurfurylpropane and Solvents (디테트라하이드로퍼퓨릴프로판과 용매를 포함하는 이성분계의 상평형 연구)

  • Bin, Young-Wook;Raw, Kyoungho;Park, So-Jin;Park, Jongkee
    • Applied Chemistry for Engineering
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    • v.22 no.4
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    • pp.390-394
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    • 2011
  • Vapor liquid equilibria were measured for the binary systems of ditetrahydrofurfurylpropane (DTHFP) and some solvents such as cyclohexane, n-heptane, tetrahydrofuran, and water. Binary vapor liquid equilibria were measured for the diluted concentration range of DTHFP. NRTL model was used to analyze the measured data. With the experimental data, binary interaction parameters of the NRTL model were regressed.

Pure and Binary Gases Adsorption Equilibria of CO2/CO/CH4/H2 on Li-X Zeolite (Li-X 제올라이트에서의 CO2/CO/CH4/H2 단일성분 및 혼합성분의 흡착평형)

  • Park, Ju-Yong;Yang, Se-il;Choi, Do-Young;Jang, Seong-Cheol;Lee, Chang-Ha;Choi, Dae-Ki
    • Korean Chemical Engineering Research
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    • v.46 no.1
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    • pp.175-183
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    • 2008
  • Adsorption equilibria of the gases $CO_2$, CO, $CH_4$ and $H_2$ and their binary mixtures on Li-X zeolite (UOP) were obtained by static volumetric method in the pressure range of 0 to 20 bar at temperatures of 293.15, 303.15, and 313.15 K. Using the parameter obtained from single-component adsorption isotherm. Multicomponent adsorption equilibra could be predicted and compared with experimental data. Extended Langmuir isotherm, Extended Langmuir-Freundlich isotherm (L-F) and dual-site Langmuir isotherm (DSL) were used to predict the experimental results for binary adsorption equilibria of $H_2/CO_2$, $H_2/CO$, and $H_2/CH_4$ on Li-X Zeolite. Extended Langmuir-Freundlich isotherm predicted equilibria of $CH_4$ and $H_2$ better than any other isotherm. One the other hand DSL isotherm predicted equilibria of $CO_2$ and CO very well.