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선형 기-액 크로마토그래피에서 농도 분포의 비대칭성에 관한 이론적 해석
Theoretical Analysis of Asymmetry of Concentration Profiles in Linear Gas-Liquid Chromatography
HWAHAK KONGHAK, December 1990, 28(6), 706-711(6), NONE
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Abstract
축 방향 분산, 입자간 물질 전달, 세공내의 확산, 액 고정상에서의 확산을 고려한 선형 기-액 크로마토그래피의 수학적 모델을 Laplace 변환과 수치적으로 역변환을 하고 시간 영역에서 해를 구하여 세공내부 확산 계수, 액 고정상의 확산 계수, 분배 계수, 액 고정상의 두께가 peak의 비대칭에 미치는 영향을 고찰하였다.
작은 세공 내부 확산 계수, 액 고정상의 확산 계수에서는 각기 또는 결합하여서 peak가 비대칭이 된다. 또한 작은 확산 계수의 조건하에서 분배 계수 또는 액 고정상의 두께가 큰 경우에서도 peak는 비대칭이 된다. 이러한 결과로부터 선형 기-액 크로마토그래피에서 긴 tail을 갖는 비대칭의 peak를 피할 수 있는 조건이 제시된다.
작은 세공 내부 확산 계수, 액 고정상의 확산 계수에서는 각기 또는 결합하여서 peak가 비대칭이 된다. 또한 작은 확산 계수의 조건하에서 분배 계수 또는 액 고정상의 두께가 큰 경우에서도 peak는 비대칭이 된다. 이러한 결과로부터 선형 기-액 크로마토그래피에서 긴 tail을 갖는 비대칭의 peak를 피할 수 있는 조건이 제시된다.
A mathematical model describing axial dispersion, interparticle mass transfer, intraparticle diffusion, and diffusion in a uniform thickness liquid film is used systematically to investigate the influence of intraparticle dif-fusivity, diffusivity in stationary liquid phase(SLP), partition coefficient, and thickness of liquid film on the shape of the peaks in gas-liquid chromatography by converting Laplace transformed equations into time domain. The low diffusivities of intraparticle and/or SLP can cause the asymmetry in chromatographic peaks. Also larger partition coefficient or film thickness at the low diffusivities give the skewed peaks. From these resuts, a guide is sug-gested to aboid the asymmitric condition of long-tailing peaks.
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Dang NDP, Gibilaro LG, Chem. Eng. J., 8, 157 (1974)
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Moon I, Row KH, Lee WK, Korean J. Chem. Eng., 2(2), 155 (1985)
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Ergun S, Chem. Eng. Process., 48, 227 (1952)
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McNair HM, Bonelli AJP, "Basic Gas Chromatography," Varian Aerograph, Berkeley (1969)
