• Title/Summary/Keyword: pseudo second order

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An Analysis of Teaching Statistical Graphs in Elementary School Mathematics Textbooks (초등학교 수학 교과서에 나타난 통계 그래프 지도 방법 분석)

  • Lim Ji Ae;Kang Wan
    • Journal of Elementary Mathematics Education in Korea
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    • v.7 no.1
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    • pp.65-86
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    • 2003
  • Mathematics textbooks are substitutive showing real characters of didactic transposition in pseudo-contextualization and pseudo-personalization. This study analyzed statistical graphs in elementary school mathematics textbooks according to the first to the 7th curriculum in Korea. It focused on the didactic principles used in those methods through those view of Didactic Transposition Theory. The features of the elementary school mathematics textbooks in Korea are investigated and described ethnomethodologically according to each curriculum periods in dividing bar graph, line graph, pictograph, graph of ratio, histogram. The teaching sequences and methods of the statistical graphs, order and methods of sub-learning activities, teaming data, matter of the learning activity indicator were summarized. Usually, the teaching sequences, excepting the graphs of ratio, statistical graphs are introduced in the second semester of each grade. The graph of ratio is introduced in the first semester of 6th grade. As a result of analysing sub-Loaming activities, using them increased from the first to the 7th curriculum and its form was fixed constructive and stable at the 4th curriculum textbooks. As a result of analysing the teaming data, the data of the social aspects are used more frequently and the data of the individual preferences trended more gradually. As a result of analysing the matter of the teaming activity indicators, concept-explanation question style were used more frequently. Statement-practice style and consideration style trended gradually. Concluding remarks are: First, the didactic transposition of the elementary school mathematics textbooks developed systematically according to the first to the 7th curriculum; Second, mathematics textbooks gradually introduced the positive learning style of activity and the learners' spontaneousness; Third, more concrete practice activities and reflective activities were variously introduced considering the level and interest of each elementary student.

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Adsorption Characteristics of Sr ion and Cs ion by a Novel PS-zeolite Adsorbent Immobilized Zeolite with Polysulfone (Polysulfone으로 제올라이트를 고정화한 새로운 PS-zeolite 비드에 의한 Sr 이온 및 Cs 이온의 흡착 특성)

  • Lee, Chang-Han;Park, Jeong-Min;Kam, Sang-Kyu;Lee, Min-Gyu
    • Journal of Environmental Science International
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    • v.24 no.5
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    • pp.671-678
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    • 2015
  • The adsorption characteristics of Sr and Cs ions were investigated by using PS-zeolite beads prepared by immobilizing zeolite with polysulfone (PS). The adsorption kinetics of Sr and Cs ions by PS-zeolite beads was described well by the pseudo-second-order model. The maximum adsorption capacities of Sr and Cs ions calculated from Langmuir isotherm model were 65.0 mg/g and 76.4 mg/g, respectively. In the binary system of Sr ion and Cs ion, the adsorption capacities of each ion decreased with increasing mole ratio of mixed counterpart ion, and Cs ion showed the higher hinderance than Sr ion. We found that thermodynamic properties of Sr and Cs ions on absorption reaction were spontaneous and endothermic at 293 to 323 K.

Adsorption property of heavy metals onto MCM-41 and expanded graphite (MCM-41 및 팽창흑연의 중금속 흡착특성)

  • Lee, Myoung-Eun;Lee, Chae-Young;Kang, Seok-Tae;Kim, Sang-Hyoun;Cho, Yun-Chul;Kim, Soo-Hong;Chung, Jae-Woo
    • Journal of Korean Society of Water and Wastewater
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    • v.26 no.2
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    • pp.275-283
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    • 2012
  • MCM-41(Mobil's Composition of Matter-41) and expanded graphite(EG) were investigated as potential adsorbents for heavy metal ions including Pb(II), Cu(II) and Ni(II) in various aqueous chemistries. MCM-41 showed shorter equilibrium times and higher adsorption capacities for all three heavy metal ions compared to expanded graphite. The adsorption of three heavy metal ions was significantly affected by the solution pH due to the competition with $H_{3}O^{+}$ at lower pH and precipitation at neutral or higher pH. Adsorptions of heavy metal ions onto MCM-41 and expanded graphite were successfully described with the pseudo-second-order model. During the competitive adsorption of three heavy metal ions, the selectivity of Pb(II) was highest and almost same selectivity was observed with Cu(II) and Ni(II) when MCM-41 was used as an adsorbent, while the expanded graphite exhibited the highest selectivity to Pb(II), followed by Ni(II) and Cu(II).

Biosorption of uranium by Bacillus sp.FB12 isolated from the vicinity of a power plant

  • Xu, Xiaoping;He, Shengbin;Wang, Zhenshou;Zhou, Yang;Lan, Jing
    • Advances in environmental research
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    • v.2 no.3
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    • pp.245-260
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    • 2013
  • Biosorption represents a technological innovation as well as a cost effective excellent remediation technology for cleaning up radionuclides from aqueous environment. In the present study, a bacteria strain FB12 with high adsorption rate of uranium ion was isolated from the vicinity of the nuclear power plant. It was tentatively identified as Bacillus sp.FB12 according to the 16S rDNA sequencing. Efforts were made to further improve the adsorption rate and genetic stability by UV irradiation and UV-LiCl cooperative mutagenesis. The improved strain named Bacillus sp.UV32 obtains excellent genetic stability and a high adsorption rate of 95.9%. The adsorption of uranium U (VI) by Bacillus sp.UV32 from aqueous solution was examined as a function of metal ion concentration, cell concentration, adsorption time, pH, temperature, and the presence of some foreign ions. The adsorption process of U (VI) was found to follow the pseudo-second-order kinetic equation. The adsorption isotherm study indicated that it preferably followed the Langmuir adsorption isotherm. The thermodynamic parameters values calculated clearly indicated that the adsorption process was feasible, spontaneous and endothermic in nature. These properties show that Bacillus sp.UV32 has potential application in the removal of uranium (VI) from the radioactive wastewater.

Adsorption properties of activated carbon prepared from pre-carbonized petroleum coke in the removal of organic pollutants from aqueous solution

  • Ahmed, S.A. Sayed;El-Enin, Reham M.M. Abo;El-Nabarawy, Th.
    • Carbon letters
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    • v.12 no.3
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    • pp.152-161
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    • 2011
  • Activated carbon was prepared from pre-carbonized petroleum coke. Textural properties were determined from studies of the adsorption of nitrogen at 77 K and the surface chemistry was obtained using the Fourier-transform infrared spectrometer technique and the Boehm titration process. The adsorption of three aromatic compounds, namely phenol (P), p-nitrophenol (PNP) and benzoic acid (BA) onto APC in aqueous solution was studied in a batch system with respect to contact time, pH, initial concentration of solutes and temperature. Active carbon APC obtained was found to possess a high surface area and a predominantly microporous structure; it also had an acidic surface character. The experimental data fitted the pseudo-second-order kinetic model well; also, the intraparticle diffusion was the only controlling process in determining the adsorption of the three pollutants investigated. The adsorption data fit well with the Langmuir and Freundlich models. The uptake of the three pollutants was found to be strongly dependent on the pH value and the temperature of the solution. Most of the experiments were conducted at pH 7; the $pH_{(PZC)}$ of the active carbon under study was 5.0; the surface of the active carbon was negatively charged. The thermodynamic parameters evaluated for APC revealed that the adsorption of P was spontaneous and exothermic in nature, while PNP and BA showed no-spontaneity of the adsorption process and that process was endothermic in nature.

Removal Characteristics of Crystal Violet and Methylene Blue from Aqueous Solution using Wood-based Activated Carbon (목질계 활성탄에 의한 수중의 Methylene blue와 Crystal violet의 제거 특성)

  • Jeon, Jin-Wo;Yu, Hae-Na;Kam, Sang-Kyu;Lee, Min-Gyu
    • Journal of Environmental Science International
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    • v.22 no.11
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    • pp.1433-1441
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    • 2013
  • The adsorption ability of wood-based activated carbon to adsorb methylene blue (MB) and crystal violet (CV) from aqueous solution has been investigated. Adsorption studies were carried out on the batch experiment at different initial MB and CV concentrations (MB=150 mg/L~400 mg/L, CV=50 mg/L~350 mg/L), contact time, and temperature. The results showed that the MB and CV adsorption process followed the pseudo-second-order kinetic and intraparticle diffusion was the rate-limiting step. Adsorption equilibrium data of the adsorption process fitted very well to both Langmuir and Freundlich model. The maximum adsorption capacity ($q_m$) by Langmuir constant was 416.7 mg/g for MB and 462.4 mg/g for CV. The thermodynamic parameters such as ${\Delta}H^{\circ}$, ${\Delta}S^{\circ}$ and ${\Delta}G^{\circ}$ were evaluated. The MB and CV adsorption process was found to be endothermic for the two dyes.

Influence of Temperature and pH on Adsorption of Ru(II) Dye from Aqueous Solution onto $TiO_2$ Films ($TiO_2$ 전극과 Ru(II) 염료와의 흡착에 있어서 온도 및 pH의 영향)

  • Hwang, Kyungjun;Yoo, Seungjoon;Shim, Wanggeum;Lee, Jaewook
    • 한국신재생에너지학회:학술대회논문집
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    • 2010.11a
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    • pp.60.2-60.2
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    • 2010
  • A $TiO_2$ films in dye-sensitized solar cells was fabricated using $TiO_2$ colloidal sol prepared from titanium iso-propoxide used as a starting material by applying the sol-gel method. It was characterized by particle size analyzer, XRD, FE-SEM, and BET analysis. The adsorption isotherms of dye molecule on $TiO_2$ films were obtained at three different temperatures (30, 45, $60^{\circ}C$) and at three different pH (3, 5, 7). The adsorption kinetics of dye molecule on $TiO_2$ films were obtained at three different temperatures (30, 45, $60^{\circ}C$. The adsorption experimental data were correlated with Langmuir isotherm model and pseudo-second-order model. Also the isosteric enthalpies of dye adsorption were calculated by the Clausius-Clapeyron equation. In addition, the adsorption energy distribution functions which describe heterogeneous characteristics of nanocrystalline $TiO_2$ film surface were calculated by using the generalized nonlinear regularization method. We found that efficient adsorption of N719 dye from aqueous solution onto $TiO_2$ films can be successfully achieved by dye adsorption conditions and morphology of $TiO_2$ films.

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Adsorption of Heavy Metals by Natural Adsorbents of Green Tea and Ginseng Leaves (녹차잎과 인삼잎의 중금속 흡착능 평가 연구)

  • Kim, Sohyun;Song, Jinyoung;Yoon, Kwangsuk;Kang, Eunmi;Song, Hocheol
    • Journal of Soil and Groundwater Environment
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    • v.22 no.5
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    • pp.128-134
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    • 2017
  • This work presents the adsorption capability of green tea and ginseng leaves to adsorb heavy metals such as Cd(II), Cu(II), and Pb(II) in aqueous solution. FT-IR analysis indicates the presence of oxygen containing functional groups (carboxyl groups) in two kinds of leaves. High pH condition was favorable to the adsorption of heavy metal ions due to the enhanced electrostatic attraction and the precipitation reaction of metal ions. The adsorption of Cd(II), Cu(II), and Pb(II) reached equilibrium within 10 min, achieving high removal efficiencies of 80.3-97.5%. The adsorption kinetics data of heavy metal ions were fitted well with the pseudo-second-order kinetic model. The maximum adsorption amounts of Cd(II), Cu(II), and Pb(II) ions were 8, 3.5, and 15 mg/g, respectively, in the initial concentration range from 0.15 to 0.75 mM. Based on the fitting data obtained from isotherm models, heavy metal adsorption by green tea and ginseng leaves could occur via multi-layer sorption.

Adsorption of lisinopril and chlorpheniramine from aqueous solution on dehydrated and activated carbons

  • El-Shafey, El-Said I.;Al-Lawati, Haider A. J.;Al-Saidi, Wafa S. H.
    • Carbon letters
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    • v.19
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    • pp.12-22
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    • 2016
  • Date palm leaflets were used as a precursor to prepare dehydrated carbon (DC) via phosphoric acid treatment at 150℃. DC, acidified with H3PO4, was converted to activated carbon (AC) at 500℃ under a nitrogen atmosphere. DC shows very low surface area (6.1 m2/g) while AC possesses very high surface area (829 m2/g). The removal of lisinopril (LIS) and chlorpheniramine (CP) from an aqueous solution was tested at different pH, contact time, concentration, and temperature on both carbons. The optimal initial pH for LIS removal was 4.0 and 5.0 for DC and AC, respectively. However, for CP, initial pH 9.0 showed maximum adsorption on both carbons. Adsorption kinetics showed faster removal on AC than DC with adsorption data closely following the pseudo second order kinetic model. Adsorption increases with temperature (25℃–45℃) and activation energy (Ea) is in a range of 19–25 kJ mol/L. Equilibrium studies show higher adsorption on AC than DC. Thermodynamic parameters show that drug removal is endothermic and spontaneous with physical adsorption dominating the adsorption process. Column adsorption data show good fitting to the Thomas model. Despite its very low surface area, DC shows ~70% of AC drug adsorption capacity in addition of being inexpensive and easily prepared.

Removal of Cu(II) and Pb(II) by Solid-Phase Extractant Prepared by Immobilizing D2EHPA with Polysulfone (D2EHPA를 Polysulfone으로 고정화하여 제조한 고체상 추출제에 의한 Cu(II)와 Pb(II)의 제거)

  • Kam, Sang-Kyu;Jeon, Jin-Woo;Lee, Min-Gyu
    • Journal of Environmental Science International
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    • v.23 no.11
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    • pp.1843-1850
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    • 2014
  • PS-D2EHPA beads were prepared by immobilizing di-2-ethylhexyl-phosphoric acid (D2EHPA) with polysulfone (PSf). The removal experiments of Cu(II) and Pb(II) by the prepared PS-D2EHPA beads were conducted batchwise. The removal efficiency of Cu(II) and Pb(II) by PS-D2EHPA beads was increased with increasing pH of solution. The removal rate of Cu(II) and Pb(II) was well described by the pseudo-second-order kinetic model. The maximum removal capacity of Cu(II) and Pb(II) obtained from Langmuir isotherm were 2.58 mg/g and 12.63 mg/g, respectively. External mass transfer coefficients for the removal of Cu(II) and Pb(II) by PS-D2EHPA beads were obtained $0.61{\times}10^{-2}{\sim}5.87{\times}10^{-2}/min$ and $1.55{\times}10^{-2}{\sim}8.53{\times}10^{-2}/min$, respectively and diffusion coefficients were obtained $1.32{\times}10^{-4}{\sim}3.98{\times}10^{-4}cm^2/min$ and $1.80{\times}10^{-4}{\sim}2.28{\times}10^{-4}cm^2/min$, respectively.