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Better Refined Adsorption Isotherm than BET Equation

DOI: 10.4236/ajac.2016.75039, PP. 421-433

Keywords: Refined BET, Binomial, Transforming, Adsorption Increasing Term, Surface Area, Inflection Point

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Abstract:

During studying the heat capacity of metals and brightening more than the original Lena’s image, the temperature increasing term obtained in binomial expansion is transformed into the adsorption increasing term and thereafter we have derived the total adsorption rate equation with it. In the first layer the quantization does not occur and from 2nd layer to nth layer the quantization occurs. So as to get the total adsorption rate equation we add the quantized terms of the second to nth layers to the non-quantized term of the first layer. All terms are based on the unit surface sites. Instead of the unit surface sites, the new adsorption site term appears in the denominator of the adsorption equation. Hence the adsorption equations come out much better than BET equation. The surface area is also calculated through the integration of the adsorption isotherm equation excluding the first layer adsorption equation from the inflection point to the wanted relative pressure.

References

[1]  Reif, F. (1985) Fundamentals of Statistical and Thermal Physics. McGraw-Hill Inc Ed. 1965, Chapter 1, 10-46.
[2]  Kim, D., Lee, Y. and Kim, T.-W. (2010) Article Title. New Physics: Sae Mulli (The Korean Physical Society), 60, 729-740.
[3]  Mathews, J.H. and Howell, R.W. (2001) Complex Analysis for Mathematics and Engineering. 4th Edition, Jones and Bartlett Publishers, Inc., Section 2-3, 62-69.
[4]  Kim, D. (2000) Statistical Condensation Adsorption Isotherms of Gas Molecules Adsorbed on Porous Adsorbents, Surface Monolayer Adsorption Isotherms and Hysteresis Phenomena. Korean Journal of Chemical Engineering, 17, 600-612.
http://dx.doi.org/10.1007/BF02707174
[5]  Kim, D. and Choi, Y.S. (2011) Brightness of Lena’s Image for Various γ Values by Using Differentials of the Geometric Mean Heat Capacity Equations at Constant Volume. New Physics: Sae Mulli (The Korean Physical Society), 61, 248-255.
http://dx.doi.org/10.3938/NPSM.61.248
[6]  Gregg, S.J. and Sing, K.S.W. (1969) Adorption, Surface Area and Porosity. Academic Press Inc. (Ltd.), Chapter 2, 53, 77.
[7]  Sundheim, B.R., Waxman, M.H. and Gregor, H.P. (1953) J Phys Chem., 57, 974-978.
[8]  Ji, Y., Kim, H. and Heo, J. (2002) C-Roguhyouhan Numerical Analysis (Korean Language). Nopigipi Publishing Company, 24-27.
[9]  Jura, G. and Harkins, W.D. (1944) Surfaces of Solids. XI. Determination of the Decrease (π) of Free Surface Energy of a Solid by an Adsorbed Film. Journal of the American Chemical Society, 67, 1356-1362.
http://dx.doi.org/10.1021/ja01236a046
[10]  Brunauer, S., Emmett, P.H. and Teller, E. (1938) J. of Amer. Chem. Soc., 90, 309-319.
[11]  Caurie, M. (The Year after 1979) J. Food Sci.
[12]  Caurie, M. (The year after 1979) J. Food Sci., 63.

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