• Title/Summary/Keyword: Ca equilibrium

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The Role of Ca Equilibrium on the Functional Properties of Cheese: A Review

  • Lee, Mee-Ryung;Lee, Won-Jae
    • Food Science of Animal Resources
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    • v.29 no.5
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    • pp.545-549
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    • 2009
  • The functional properties of cheese, such as texture and melt, are known to be controlled by several important parameters. Recently, the characteristics of Ca in cheeses, especially the form of Ca (insoluble (INSOL) or soluble) and the shift in Ca equilibrium (i.e., from INSOL to soluble Ca), during aging has received a lot of attention. The INSOL form of Ca, which is present as a structural form in casein, plays a critical role in determining the functional properties of cheese during the early period of ripening (~1 mon). It seems that there is always a reduction of INSOL Ca content in cheese during ripening and there are also factors that can affect the shift in Ca equilibrium. These factors may include the composition of cheese milk, cheese manufacturing pH, acid development during aging, adopting curd-washing in various methods, pre-acidification of milk, etc. There have been many studies showing that the rheological and melting properties of cheese during ripening were significantly (p<0.05) affected by the shift in Ca equilibrium. Therefore, for cheese makers, it is now possible to predict/manage the functional properties of cheese by monitoring and controlling Ca equilibrium in cheese during aging.

Equilibrium Point Model Of Urban Community Parks Based On A Centrality Index Model (중심지리론에 의한 도시근린공원의 세력균점점리론 모형)

  • 권상준;심경구
    • Journal of the Korean Institute of Landscape Architecture
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    • v.21 no.2
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    • pp.120-128
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    • 1993
  • This study suggests one hypothesis: The strength of the catchment forces of urban community parks can be represented as an equilibrium point model, which is derived from a centrality index for. That model was designed by Reilly(1931) and developed by Godlund(1956). An equilibrium point model for the catchments is represented as followed formulae: m=$\frac{CA2}{CA-CB}$ m=$\frac {{{{{L SQRT {{C}_{A}$.$ {C}_{B}} {CA-CB} Here, m is distance from the center of park A to the cetner of park B. r is radius of a circle where the catchment between park A and B is equal pointed traces. CA is index of the centrality of park A from Reilly's Law. CB is an index of the centrality of park B from Reilly's Law. L is an the distance between park A and B. The equilibrium point model is testified in the case of Chong-ju community parks. The testification has been limited to the application to such manifest outdoor recreational facilities as bentches, even though there are statistically and economically problems for a quantitative model to be testified. But the testification could be a rationale for the catchment forces of urban community parks, which was quantitatively represented that the distance between two or there parks should be related with the feasibility of the parks. Therefore, the urban community park should be planned to be located, hiving separately its identity that might be considered with the facility diversification and the locational competitiveness of a park.

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Interaction of NpO+2 with Cl- in Na-Ca-Cl-type solutions at ionic strength of 6M: Effect of presence of Ca ion on interaction

  • Nagasaki, Shinya;Saito, Takumi;Tsushima, Satoru;Goguen, Jared;Yang, Tammy
    • Nuclear Engineering and Technology
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    • v.49 no.8
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    • pp.1778-1782
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    • 2017
  • The interaction of $NpO^+_2$ with $Cl^-$ was studied using visible-near-infrared spectroscopy in $NaCl-Ca-Cl_2-NaClO_4$, $NaCl-NaClO_4$, and $CaCl_2-NaClO_4$ solutions with ionic strength (I) of 6M. The spectra of $NpO^+_2$ around 980 nm varied with $Cl^-$ concentration in the $NaCl-CaCl_2-NaClO_4$ and $NaCl-NaClO_4$ solutions at [$Cl^-$] ${\geq}3.5M$, but not in the $CaCl_2-NaClO_4$ solution. Assuming the 1:1 interaction between $NpO^+_2$ and $Cl^-$, the apparent equilibrium constants at I = 6M were evaluated. The presence of $Ca^{2+}$ was found to destabilize overall interaction between $NpO^+_2$ and $Cl^-$. The observations were consistent with the density functional theory calculation.

Application of High-temperature 3-phase Equilibrium Distribution to Dry Scrubber for the Simultaneous Removal of $SO_2$ and Vinyl Chloride (건식세정기에서의 오염물 동시제거를 위한 고온3계평형 모델의 적용과 예비설계에의 응용)

  • 구자공;백경렬
    • Journal of Korean Society for Atmospheric Environment
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    • v.6 no.1
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    • pp.85-96
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    • 1990
  • Simultaneous removal efficiencies of hydrophilic and hydrophobic gaseous pollutants are experimentally determined, and the macroscopic removal mechanism of pollutants in a dry scrubber is analyzed using the extended model of three phase equilibrium distribution of pollutant at high temperatures that can describe the different morphological conditions of adsorbent and water at varying relative humidities. For the simplicity, the inside of spray dryer is divided into three regions of ; (1) absorption, (2) three-phase equilibrium, and (3) adsorption, and the removal efficiencies of each pollutants at three regions are observed at different experimental conditions to estimate the effects of important parameters of dry scrubber. The laboratory experiments simulate the three regions of spray dryer with the temperature control and thus evaporation rate of water from the slurry particle. $SO_2$ as a hydrophilic gaseous pollutant and vinyl chloride as a hydrophobic toxic gas are selected for the future field application to soid waste incineration, and the two types of slurry are made of the two sorbents ; 10 wt.% $Ca(OH)_2$, and 10 wt.% NaOH. Result of temperature effect shows the height of absorption plus three-phase region is decreased as the operation temperature is increased, which results in the lower removal efficiency of $SO_2$ but higher removal for vinyl chloride in the adsorption region of dry scrubber. The removal efficiency of $SO_2$ is higher by NaOH slurry than by $Ca(OH)_2$ slurry due to the hygroscopic nature of NaOH, while the removal of vinyl chloride is higher in $Ca(OH)_2$ case. From the analysis of redults using three-phase equilibrium distribution model, the effective two-phase partition coefficients can be obtained, and the possible extention in the application of the three-phase equilibrium model in a dry scrubber design has been demonstrated.

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The Influence of Thermal Condition on the Variation of Reaction Product Composition depending on the Constituent of Dolomite in the Absorption Process of SO2 by Dolomite (Dolomite에 의한 SO2 흡수공정에서 Dolomite 조성에 따른 생성물질 구성 변화에 대한 열적 조건 영향)

  • You, Dong-Ju;Kim, Dong-Su
    • Resources Recycling
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    • v.23 no.2
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    • pp.17-25
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    • 2014
  • The thermal effect on the compositional change of the $SO_2$ absorption process product was investigated compared with the composition of raw material when dolomite is employed in place of lime in the scrubbing process based on thermodynamic estimation. It was considered that the equilibrium reactions which directly related with the formation of $CaSO_4$ and $MgSO_4$, the absorption process products, are those between $Ca^{2+}$ and $Ca(OH)_2$, $Mg^{2+}$ and $Mg(OH)_2$, and the secondary dissociation reaction of $H_2SO_4$. It was thought to be necessary to examine the enthalpy change for the formation reactions of $CaSO_4$ and $MgSO_4$ along with the thermal feature of the relative reactions to figure out the influence of temperature on the compositional change of absorption process products. The stable regions for $Ca(OH)_2$ and $Mg(OH)_2$ in Pourbaix diagram were found to be increased as temperature rises and the equilibrium reaction between $Ca^{2+}$ and $Ca(OH)_2$ was investigated to be more strongly influence by temperature change compared with the equilibrium reaction between $Mg^{2+}$ and $Mg(OH)_2$. The amounts of $CaSO_4$ and $MgSO_4$ were anticipated to be decreased with temperature considering the thermal characteristics for the equilibrium reactions regarding calcium, magnesium, and $H_2SO_4$. It was understood that the formation ratio between $CaSO_4$ and $MgSO_4$ is greater than the composition ratio between calcium and magnesium contained in dolomite at specific temperature and the decrease of the formation ratio of $CaSO_4$ and $MgSO_4$ with temperature was estimated to be diminished as the content of calcium in dolomite is increased. In addition, the extent of the change in the compositional ratio between absorption process products was examined to be reduced compared with the composition of raw material as the calcium content in dolomite is raised.

Characteristics of Cation Selectivity for Equilibrium and Column Cation Exchanges (평형 및 칼럼교환에서 양이온 선택도 특성)

  • 이석중;이인형
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.3 no.2
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    • pp.156-159
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    • 2002
  • Ion exchange is the most reliable process to remove the ionic impurities and the economic operation. ion exchange is widely used in water and wastewater treatment, especially softening and demineralization. ion selectivity depends on the hydrated radius, charge of ions and concentration. The objective of this study was to determine the selectivity order of cations with equilibrium and column ion exchanges and to investigate the effect of the background anion on selectivity. Cation selectivity increases with decreasing concentration and increasing charge ( $H^+$ < $K^+$ << $Cu^{2+}$ < $Co^{2+}$ < TEX>$Ca^{2+}$ << $Ce^{3+}$)in equilibrium and column cation adsorptions.

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Dependency of Compatibility Termination Criteria on Prehydration and Bentonite Quality for Geosynthetic Clay Liners (사전투수 및 벤토나이트 품질에 따른 GCL의 투수종결기준에 미치는 영향평가)

  • Lee Jae-Myung;Shackelford Charles D.;Choi Jae-Soon;Jung Moon-Kyung
    • Journal of the Korean Geotechnical Society
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    • v.20 no.7
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    • pp.141-158
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    • 2004
  • The dependency of criteria used to terminate compatibility tests on the prehydration and quality of bentonite in geosynthetic clay liners (GCLs) is evaluated based on permeation with chemical solutions containing 5, 10, 20, 50, and 100 mM calcium chloride ($CaCl_2$). The hydraulic conductivity tests are not terminated before chemical equilibrium between the effluent and the influent chemistry has been established, resulting in test durations ranging from < 1 day to > 900 days, with longer test durations associated with lower $CaCl_2$ concentrations. The evaluation includes both physical termination criteria (i.e., volumetric flow ratio and steady hydraulic conductivity based on ASTM D 5084, ${\ge}2$ pore volumes of flow, constant thickness of specimen) and chemical termination criteria requiring equilibrium between influent and effluent chemistry (viz., electrical conductivity, pH, and $Ca^{2+}\;and\;Cl^-$ concentrations). For specimens permeated with 5, 10, and 20 mM $CaCl_2$ solutions, only the criterion based on chemical equilibrium in $Ca^{2+}$ concentration correlates well with equilibrium in hydraulic conductivity, regardless of prehydration or quality of bentonite. However, all of the termination criteria, except for the volumetric flow ratio and 2 pore volumes of flow for the prehydrated specimens, correlate well with equilibrium in hydraulic conductivity regardless of prehydration or quality of bentonite when permeated with 50 and 100 mM $CaCl_2$ solutions. The results illustrate the uniqueness of the termination criterion based on solute concentration equilibrium between the effluent and the influent with respect to both prehydration and quality of bentonite in the GCLs.

Mechanisms on Struvite Production for Nitrogen and Phosphorus Recovery (질소/인 회수를 위한 Struvite 생성 메커니즘)

  • Lee, Sang-hun
    • Resources Recycling
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    • v.28 no.3
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    • pp.15-20
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    • 2019
  • The recovery of struvite using nitrogen and phosphorus in wastewaters is useful for prevention of eutrophication and use as fertilizer, but there are theoretical and technical issues to be resolved. Through the detailed literature review, this study discusses the possible reasonable prediction of struvite formation reaction by setting a feasible reaction equation with some theoretical considerations. In a technical aspect, the purity of struvite in solid precipitates can be promoted by excluding Ca in an effective way. As for the struvite reaction prediction issue, selection of proper equilibrium reaction as well as its reaction equilibrium coefficient is significant in the neutral and basic pH regions. The equilibrium reaction agrees well with the experimental batch test results. Considering the charge balance of the ions, the pH drop along struvite formation in a diluted solution can be predicted. Also, improvement of struvite purity through elimination of Ca can be expected by providing a highly concentrated ${NH_4}^+-N$ relative to ${HPO_4}^{2-}-P$ because ${NH_4}^+$ can enhance the thermodynamic driving force toward favorable struvite formation. Even though the phosphate reacts rapidly with Ca to form a solid precipitate, the thermodynamic driving force due to the high ${NH_4}^+$ activity can dissociate the phosphate-calcium precipitates and produce struvite.

Measurement of Solubilities in the Ternary System NaCl + CaCl2 + H2O and KCl + CaCl2 + H2O at 50℃ (NaCl + CaCl2 + H2O 및 KCl + CaCl2 + H2O 삼성분계에 대한 50℃에서의 용해도 측정)

  • Yang, Ji-Min;Hou, Guang-Yue;Ding, Tian-Rong;Kou, Peng
    • Journal of the Korean Chemical Society
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    • v.54 no.3
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    • pp.269-274
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    • 2010
  • The solubility and the physicochemical property (refractive index) in the NaCl-$CaCl_2$-$H_2O$ and KCl-$CaCl_2$-$H_2O$ systems were determined at $50^{\circ}C$ and the phase diagrams and the diagrams of physicochemical property vs composition were plotted. One invariant point, two univariant curves, and two crystallization zones, corresponding to sodium Chloride (or potassium chloride), dihydrate ($CaCl_2{\cdot}2H_2O$) showed up in the phase diagrams of the ternary systems. The mixing parameters ${\theta}_{M,Ca}$ and ${\Psi}_{M,Ca,Cl}$ (M = Na or K) and equilibrium constant $K_{sp}$ were evaluated in NaCl-$CaCl_2-H_2O$ and KCl-$CaCl_2-H_2O$ systems by least-squares optimization procedure, in which the single-salt Pitzer parameters of NaCl, KCl and $CaCl_2$ ${\beta}^{(0)}$, ${\beta}^{(1)}$, ${\beta}^{(2)}$ and $C^{\Phi}$ were directly calculated from the literature. The results obtained were in good agreement with the experimental data.

Game-Theoretic Analysis of Selfish Secondary Users in Cognitive Radio Networks

  • Kahsay, Halefom;Jembre, Yalew Zelalem;Choi, Young-June
    • Journal of Communications and Networks
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    • v.17 no.4
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    • pp.440-448
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    • 2015
  • In this paper, we study the problem of selfish behavior of secondary users (SUs) based on cognitive radio (CR) with the presence of primary users (PUs). SUs are assumed to contend on a channel using the carrier sense multiple access with collision avoidance (CSMA/CA) and PUs do not consider transmission of SUs, where CSMA/CA protocols rely on the random deference of packets. SUs are vulnerable to selfish attacks by which selfish users could pick short random deference to obtain a larger share of the available bandwidth at the expense of other SUs. In this paper, game theory is used to study the systematic cheating of SUs in the presence of PUs in multichannel CR networks. We study two cases: A single cheater and multiple cheaters acting without any restraint. We identify the Pareto-optimal point of operation of a network with multiple cheaters and also derive the Nash equilibrium of the network. We use cooperative game theory to drive the Pareto optimality of selfish SUs without interfering with the activity of PUs. We show the influence of the activity of PUs in the equilibrium of the whole network.