Numerical Analysis of the Horvath–Kawazoe Equation — The Adsorption of Nitrogen,Argon,Benzene,Carbon Tetrachloride and Sulphur Hexafluoride

Abstract

A previously proposed numerical procedure based on the Horvath–Kawazoe (HK) model for estimating the MPSD (micropore size distribution) from a single nitrogen adsorption isotherm was developed. The results of the calculation of MSPD for two synthetic carbons obtained from numerical studies using the modified procedure are presented and discussed. These allowed the evaluation of the distribution from a single adsorption isotherm of nitrogen, argon, benzene, carbon tetrachloride and sulphur hexafluoride. In addition, the nitrogen and argon adsorption potential distributions were calculated for the same carbons applying the HK and condensation approximation (CA) methods. Agreement between these two independent approaches was observed. Differences between the MSPD obtained from HK and from the Dubinin micropore filling model (using the CONTIN package) were observed and discussed. It was shown that the structural parameter of the Dubinin–Astakov equation had no significant influence on the MSPD curves obtained.

References

Bhatia

S.K.

and Shethna

H.K.

(1994) Langmuir 10, 3230.

Cerofolini

G.F.

and Re

(1993) Riv. Nuevo Cimento Soc. Ital. Fis. 16, 1.

Cheng

L.S.

and Yang

R.T.

(1994) Chem. Eng. Sci. 49, 2599.

D.D.

(1998) Adsorption Analysis: Equilibria and Kinetics, Imperial College Press, London, UK.

Dubinin

M.M.

(1975) Adsorption and Porosity, WAT, Warsaw (in Polish).

Gauden

P.A.

(2001) Thesis, UMK, Toruń, Poland (in Polish).

Gauden

P.A.

Terzyk

A.P.

and Rychlicki

(2001) Carbon 39, 267.

Horvath

(1998) Colloids Surf. A. 141, 295.

Horvath

and Kawazoe

(1983) J. Chem. Eng. Jpn. 16, 470.

10.

Kowalczyk

Terzyk

A.P.

and Gauden

P.A.

(2002) Comput. Chem. 26, 125.

11.

Kruk

Jaroniec

and Choma

(1998) Carbon 36, 1447.

12.

Provencher

S.W.

(1982a) Comput. Phys. Commun. 27, 213.

13.

Provencher

S.W.

(1982b) Comput. Phys. Common. 27, 229.

14.

Rudziński

and Everett

D.H.

(1992) Adsorption of Gases on Heterogeneous Surfaces, Academic Press, New York.

15.

Rychlicki

Terzyk

A.P.

and Szymański

(1993) Pol. J. Chem. 67, 2029.

16.

Saito

and Foley

H.C.

(1991) AIChE J. 37, 429.

17.

Sing

K.S.W.

Everett

D.H.

Haul

R.A.W.

Moscou

Pierotti

R.A.

Rouquerol

and Siemieniewska

(1985) Pure Appl. Chem. 57, 603.

18.

Świątkowski

Trznadel

B.J.

and Ziętek

(1996) Adsorp. Sci. Technol. 14, 59.

19.

Terzyk

A.P.

and Gauden

P.A.

(2001) Colloids Surf. A 177, 57.

20.

Terzyk

A.P.

and Rychlicki

(1999) Adsorp. Sci. Technol. 17, 323.

21.

Terzyk

A.P.

Gauden

P.A.

Rychlicki

and Wojsz

(1999a) Langmuir 15, 185.

22.

Terzyk

A.P.

Gauden

P.A.

Rychlicki

and Wojsz

(1999b) Colloids Surf. A 152, 293.

23.

Terzyk

A.P.

Gauden

P.A.

Kowalczyk

Rychlicki

and Ziętek

(2002) Colloids Surf. A 201, 17.

24.

Terzyk

A.P.

Gauden

P.A.

Zawadzki

Rychlicki

Wiśniewski

and Kowalczyk

(2001) J. Colloid Interface Sci. 243, 183.

25.

von Szombathley

Brauer

and Jaroniec

(1992) J. Comput. Chem. 13, 17.

26.

Webb

P.A.

and Orr

(1997) Analytical Methods in Fine Particle Technology, Micromeritics Instrument Corp., Norcross, GA, USA.

27.

Wojsz

(1989) Characteristics of the Structural and Energetic Heterogeneity of Microporous Carbon Adsorbents Regarding the Adsorption of Polar Substances, UMK, Toruń, Poland (in Polish).