• 제목/요약/키워드: surface area

검색결과 11,213건 처리시간 0.04초

겉넓이 학습을 위한 수학적 모델링에서 나타난 추상화 과정 및 겉넓이 이해에 관한 연구 (A Study on Abstraction and Understandings in Children's Learning of Surface Area with Mathematical Modeling Perspective)

  • 홍지연;김민경
    • 한국학교수학회논문집
    • /
    • 제14권1호
    • /
    • pp.43-64
    • /
    • 2011
  • 본 연구의 목적은 초등학교 6학년 아동을 대상으로 하여 수학적 모델링을 적용한 입체도형의 겉넓이 수업에서 학습이 이루어지는 동안 나타나는 학생들의 추상화 과정을 분석하고 학습에 대한 사전 사후의 겉넓이 이해 검사 결과를 비교함으로써 겉넓이에 대한 이해 정도를 알아보고자 함이다. 학생들의 추상화 과정을 분석한 결과 학생들은 주어진 수학적 모델링 과제를 해결하는 동안 수학적 원리를 포함한 모델을 개발하면서 모둠별로 각기 다른 수준의 추상화 과정을 나타냈으며, 겉넓이 이해 검사 결과 사후 검사에서 학생들의 겉넓이에 대한 이해가 향상되었다.

  • PDF

활성탄의 세공이 자연유기물질의 흡착에 미치는 영향 (Effect of pore characteristics of activated carbon on adsorption of natural organic matter)

  • 박정순;홍성호
    • 상하수도학회지
    • /
    • 제25권2호
    • /
    • pp.249-255
    • /
    • 2011
  • It is complicate problem to optimize removing natural organic matter (NOM) by activated carbon in drinking water treatment because the activated carbon has heterogeneous surface area and pore structure. Seven different coals based activated carbons which have different pore structures were used in the study. Sand filtered effluents which normally used as GAC adsorber influent were used. The molecular weight distribution showed that most of the NOM was bigger than 10,000Da. In this study, systematical approaches such as characteristics of surface area and pore volume were evaluated on NOM adsorption. Especially, the adsorption capacities for NOM were evaluated by effect of micro-pores and meso-pores in surface area and pore structure. The results show that the higher ratio of meso-pore compare to the micro-pore has not only the better adsorption capacities for NOM but also the higher strongly-adsorbable fraction. Therefore, the overall adsorption capacity is increased with higher meso-pore ratio with existing of reasonable micro-pore surface area and volume.

Studies on Electrical Double Layer Capacitor Based on Mesoporous Activated Carbon

  • Meigen, Deng;Yihong, Feng;Bangchao, Yang
    • Carbon letters
    • /
    • 제6권2호
    • /
    • pp.86-88
    • /
    • 2005
  • Mesoporous activated carbon (AC) was prepared from aged petroleum coke through chemical activation. The AC has a specific surface area of 1733 $m^2/g$ and a mean pore diameter of 2.37 nm. The volume fraction of 2 to 4nm pores is 56.74%. At a current density of 10 mA/$cm^2$, a specific capacitance of 240 F/g is achieved representing the use factor of the surface area of 69.2%. And the electrical double layer capacitor (EDLC) based on the AC shows an excellent power performance. This result suggests that the presence of high fraction of mesopores can effectively increase the adsorption efficiency of the specific surface area of the AC and enhance the power performance of EDLC based on the efficient surface area of the AC.

  • PDF

$TiO_2$를 함유한 규산염 유리의 상분리를 이용한 다공질 유리의 제조 (Preparation of Porous Glasses by the Phase-separation of the Silicate Glass Containing $TiO_2$)

  • 김병훈;최석진;박태철
    • 한국세라믹학회지
    • /
    • 제28권1호
    • /
    • pp.29-36
    • /
    • 1991
  • Microporous glasses in the system TiO2-SiO2-Al2O3-B2O3-CaO-Na2O were prepared by the phase-separation technique. Morphology and distribution of pore and specific surface area of glasses heated and leached out at various conditions were investigated by SEM and Porosimeter. Crystallization of glasses heated above transition temperature was also inspected by X-ray diffraction method. When the heating temperature and time increased, the pore size and volume increased, but the specific surface area decreased above the critical temperature. The phase-separation, specific surface area and pore size showed more sensitive change on the variation of heating temperature than of heating time. The specific surface area and micropore volume of porous glasses prepared in this study were about 120-330$m^2$/g and 0.001-0.01cc/g, respectively. Mean pore size of porous glasses were about 20-90$\AA$. Anatase phases was deposited when the parent glass was heat-treated at 75$0^{\circ}C$ for 6hrs.

  • PDF

Adsorption Characteristics of Endo Ⅱ and Exo Ⅱ Purified from Trichoderma viride on Microcrystalline Celluloses with Different Surface Area

  • 김동원;정영규;장영훈;이재국
    • Bulletin of the Korean Chemical Society
    • /
    • 제16권6호
    • /
    • pp.498-503
    • /
    • 1995
  • The adsorption behaviors of two major components purified, endo Ⅱ and exo Ⅱ, from Trichoderma viride were investigated using microcrystalline cellulose with different specific surface area as substrates. Adsorption was found to apparently obey the Langmuir isotherm and the thermodynamic parameters, ΔH, ΔS, and ΔG, were calculated from adsorption equilibrium constant,K. The adsorption process was found to be endothermic and an adsorption entropy-controlled reaction. The amount of adsorption of cellulase components increased with specific surface area and decreased with temperature and varied with a change in composition of the cellulase components. The maximum synergistic degradation occurred at the specific weight ratio of the cellulase components at which the maximum affinity of cellulase components obtains. The adsorption entropy and enthalpy for respective enzyme system increased with specific surface area increase. The adsorption entropy was shown to have a larger value with enzyme mixture.

입상활성탄의 표면특성과 TOC제거와의 상관성 연구 (Full-scale Case Study on the Relationship between Surface Characteristics of GAC and TOC Removal)

  • 백영애;조우현;홍병의;김광호;최영준
    • 상하수도학회지
    • /
    • 제22권3호
    • /
    • pp.323-328
    • /
    • 2008
  • During the full-scale water treatment operation at "G" Water Treatment Plant in Seoul, we investigated changes in pore volume distribution and specific surface area of GAC with time. The pore volume of the used GAC decreased to the level below 0.6 cc/g while that of the brand new GAC was ranged 0.7~0.9 cc/g. The specific surface area of GAC pores changed within the range between $1100{\sim}1200m^2/g$ and $700{\sim}800m^2/g$. Bacteria attached to the surface of GAC shows a gradual increase ($0.4{\time}10^6{\sim}8.5{\time}10^6CFU/g$) under scanninig electron microscope (SEM). TOC removal was enhanced due to growth of the attached bacteria on GAC. It was found that TOC removal was closely related with physical parameters (pore volume, specific surface area) linearly under the investigated conditions. The used GAC need to be exchanged into new one or re-generated to remove organic matters (TOC) effectively from the finished drinking water.

Effect of Specific Surface Area on the Reaction of Silicon Monoxide with Porous Carbon Fiber Composites

  • Park, Min-Jin;Lee, Jae-Chun
    • The Korean Journal of Ceramics
    • /
    • 제4권3호
    • /
    • pp.245-248
    • /
    • 1998
  • Porous carbon fiber composites (CFCs) having variable specific surface area ranging 35~1150 $\m^2$/g were reacted to produce silicon carbide fiber composites with SiO vapor generated from a mixture of Si and $SiO_2$ at 1673 K for 2 h under vacuum. Part of SiO vapor generated during conversion process condensed on to the converted fiber surface as amorphous silica. Chemical analysis of the converted CFCs resulting from reaction showed that the products contained 27~90% silicon carbide, 7~18% amorphous silica and 3~63% unreacted carbon, and the composition depended on the specific carbide, 7~18% amorphous silica and 3~63% unreacted carbon, and the composition depended on the specific surface area of CFCs. CFC of higher specific surface area yielded higher degree of conversion of carbon to silicon and conversion products of lower mechanical strength due to occurrence of cracks in the converted caron fiber. As the conversion of carbon to silicon carbide proceeded, pore size of converted CFCs increased as a result of growth of silicon carbide crystallites, which is also linked to the crack formation in the converted fiber.

  • PDF

Contributions of emergent vegetation acting as a substrate for biofilms in a free water surface constructed wetland

  • Zhao, Ruijun;Cheng, Jing;Yuan, Qingke;Chen, Yaoping;Kim, Youngchul
    • Membrane and Water Treatment
    • /
    • 제10권1호
    • /
    • pp.57-65
    • /
    • 2019
  • This study assessed the contribution of emergent vegetation (Phragmites australis, Typha latifolia, and Nelumbo nucifera) to the submerged surface area, the amount of biofilms attached to the submerged portions of the plants, and the treatment performance of a free water surface (FWS) constructed wetland. Results showed that a 1% increase ($31m^2$) in the vegetative area resulted in an increase of $220m^2$ of submerged surface area, and 0.48 kg Volatile Suspended Solids (VSS) of attached biofilm. As the vegetation coverage increased, effluent organic matter and total Kjeldahl nitrogen decreased. Conversely, a higher nitrate concentration was found in the effluent as a result of increased nitrification and incomplete denitrification, which was limited by the availability of a carbon source. In addition, a larger vegetation coverage resulted in a higher phosphorus in the effluent, most likely released from senescent biofilms and sediments, which resulted from the partial suppression of algal growth. Based on the results, it was recommended that constructed wetlands should be operated with a vegetation coverage of just under 50% to maximize pollutant removal.

Physical Properties of Carbon Prepared from a Coconut Shell by Steam Activation and Chemical Activation and the Influence of Prepared and Activated Carbon on the Delivery of Mainstream Smoke

  • Ko, Dong-Kyun;Shin, Chang-Ho;Jang, Hang-Hyun;Lee, Young-Taeg;Rhee, Moon-Soo
    • 한국연초학회지
    • /
    • 제30권1호
    • /
    • pp.8-13
    • /
    • 2008
  • Several activated carbon in different specific surface area was prepared by steam and chemical activation of coconut shell. Products were characterized by BET ($N_2$) at 77K, and probed to be highly specific surface area of $1580m^2/g$ and pore volume that had increased with activating conditions. And also we have analyzed the adsorption efficiency of vapor phase components in cigarette mainstream smoke in order to evaluate the relationship between thesmoke components and the physicochemical properties of activated carbons. As a result of this study, the delivery of mainstream smoke was directly affected by the specific surface area and the pore size of activated carbon. The activated carbon prepared by steam activation exhibited better adsorption efficiency on the vapor phase components in mainstream smoke compared with activated carbon prepared by $ZnCl_2$, due to the higher micro-pore area of 66%. But the adsorption efficiency of semi-volatile matters such as phenolic components in a main stream smoke by the activated mesoporous carbon prepared by $ZnCl_2$ is more effective. From the these results, we can conclude that specific surface area by the micropore area increased the adsorption efficiency of activated carbon on vapour phase components, but semi-volatiles or particulate matter was affected by the ratio of mesopore area in total specific surface area.

Slope-Aspect 알고리즘을 활용한 강릉시 산불 피해지역 실표면적 산출 방법 (Calculating the Actual Surface Area for Gangneung Forest Fire Area Using Slope-Aspect Algorithm)

  • 정종철
    • 지적과 국토정보
    • /
    • 제52권1호
    • /
    • pp.95-104
    • /
    • 2022
  • 본 연구는 2019년 4월 4일 강릉시 옥계면에서 발생한 산불 피해지역의 정확한 면적을 구하는 것을 목적으로 한다. 우리나라의 산림은 경사도가 존재하고 있으므로 평면적이 아닌 경사를 고려한 표면적을 구해야 한다. 국토지리정보원에서 제공하고 있는 DEM과 산림청에서 제공하는 제5차 수치임상도를 사용하였다. DEM에서는 각 화소의 중심점을 생성하고 모든 점을 연결하였다. 이때 연결선의 길이는 화소의 공간해상력과 cosine값을 통해 결정되며 높이값과 함께 표면적을 구하며, 이를 Slope-Aspect 알고리즘이라 한다. 산림의 표면적과 평면적을 나무의 수종, 산림의 종류에 따라 나타냈으며 이들의 정량적인 수치 차이를 통해 본 연구의 유효성을 입증하였다.