EVALUATION OF THE ENERGY-DISTRIBUTION FUNCTION FROM LIQUID-SOLID ADSORPTION MEASUREMENTS

被引:29
作者
HEUCHEL, M
BRAUER, P
VONDERSZOMBATHELY, M
MESSOW, U
EINICKE, WD
JARONIEC, M
机构
[1] KENT STATE UNIV,DEPT CHEM,KENT,OH 44242
[2] UNIV LEIPZIG,INST PHYS CHEM,O-7010 LEIPZIG,GERMANY
关键词
D O I
10.1021/la00034a012
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
Various problems associated with numerical evaluation of the adsorption energy distribution function, F(U21), from the experimental excess adsorption isotherms of binary nonelectrolytic liquid mixtures on heterogenous solid surfaces have been discussed. Several methods known in the literature did not address the numerical ill-posed character of the integral equation, which has been used for calculating F(U21). In the current work two alternative approaches, which take into account the ill-posed nature of this integral equation, have been presented. In the first approach a regularization method has been employed, whereas in the second one an expansion of the Stieltjes' transformation has been utilized. Also, the problem of choice of the local adsorption model has been considered. A representation of the overall excess adsorption isotherm in the form of the M(t)-plot has been found to be useful for selecting this model. Illustrative calculations have been carried out for various mixtures on the same adsorbent and for one mixture on different adsorbents. Such as methodological approach is especially useful for analyzing differences between the systems studied. By use of the regularization method, the distribution functions F(U21) for n-hexane/1-hexanol, n-hexane/toluene, and n-hexanol/toluene on an active carbon have been calculated and compared. Another comparison of the F(U21) functions have been presented for water/ethanol on ZSM-5 zeolites of different Si/Al ratios.
引用
收藏
页码:2547 / 2554
页数:8
相关论文
共 31 条
[1]   NUMERICAL-SOLUTIONS OF THE ADSORPTION INTEGRAL-EQUATION UTILIZING THE SPLINE FUNCTIONS [J].
BRAUER, P ;
FASSLER, M ;
JARONIEC, M .
THIN SOLID FILMS, 1985, 123 (03) :245-272
[2]  
Brauer P., 1981, Wissenschaftliche Zeitschrift der Friedrich-Schiller-Universitaet Jena, Mathematisch-Naturwissenschaftliche Reihe, V30, P505
[3]   GAS-ADSORPTION ON ENERGETICALLY HETEROGENEOUS SOLID-SURFACES - ON THE CHOICE OF LOCAL ADSORPTION-ISOTHERM [J].
BRAUER, P ;
JARONIEC, M .
JOURNAL OF COLLOID AND INTERFACE SCIENCE, 1985, 108 (01) :50-59
[4]   A NEW NUMERICAL-METHOD FOR CALCULATING THE ENERGY-DISTRIBUTION FROM ADSORPTION-ISOTHERM DATA [J].
BRAUER, P ;
FASSLER, M ;
JARONIEC, M .
CHEMICAL PHYSICS LETTERS, 1986, 125 (03) :241-245
[5]  
Britten J.A., 1983, AICHE S SER, V79, P1
[6]  
Brown L.E., 1984, FUNDAMENTALS ADSORPT, P123
[7]   CHARACTERIZATION OF SOLID-LIQUID ADSORPTION SYSTEMS BY USING GAUSSIAN ENERGY-DISTRIBUTION [J].
DABROWSKI, A ;
JARONIEC, M .
MATERIALS CHEMISTRY AND PHYSICS, 1985, 12 (04) :339-365
[8]   NUMERICAL TREATMENT OF IMPROPERLY POSED PROBLEMS [J].
ECKHARDT, U .
COMPUTING, 1976, 17 (03) :193-206
[9]   LIQUID-PHASE ADSORPTION OF BINARY ETHANOL WATER MIXTURES ON NAZSM-5 ZEOLITES WITH DIFFERENT SILICON ALUMINUM RATIOS [J].
EINICKE, WD ;
HEUCHEL, M ;
VONSZOMBATHELY, M ;
BRAUER, P ;
SCHOLLNER, R ;
RADEMACHER, O .
JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS I, 1989, 85 :4277-4285
[10]   SINGULAR VALUE DECOMPOSITION AND LEAST SQUARES SOLUTIONS [J].
GOLUB, GH ;
REINSCH, C .
NUMERISCHE MATHEMATIK, 1970, 14 (05) :403-&