Adsorption: Theory, Modeling, and Analysis (Surfactant by Jozsef Toth PDF

By Jozsef Toth

ISBN-10: 0824707478

ISBN-13: 9780824707477

Deals an outline of the hot theoretical and useful effects accomplished in gas-solid (G/S), liquid-solid (L/S), and gas-liquid (G/L) adsorption examine.

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Additional info for Adsorption: Theory, Modeling, and Analysis (Surfactant Science Series, Volume 107)

Example text

8 when wF ¼ 2:00. Thus, the extended applicability of the modified FG equation is the following. 333, then the types of isotherm are determined by the following limiting values of BF : Type Type Type Type I when 0 < BF < 1=wF V when 1=wF < BF < 1=ðwF À 1Þ III when 1=ðwF À 1Þ < BF < 4=wF condensation when BF > 4=wF Thus, it is proven why the four types of isotherm shown in Fig. 7 can be described by the modified FG equation. The analysis made above is limited to mathematical considerations. In Figs.

128) and calculate the values of BF for which Eq. (132) is fulfilled; we thus obtain wF ð133Þ BF ¼ YðwF À YÞ Equation (133) determines all values of BF at which two-dimensional condensation takes place. The coverages, Y, present in Eq. (133) are the places of minima and maxima mentioned earlier (see also the S-shape condensation isotherm in Fig. 7). The functions BF ðYÞ are shown in Fig. 8 by solid lines. In Fig. 8, it can be seen also that functions BF ðYÞ have absolute minimum values. After differentiation of Eq.

The parameters are as follows: KV ¼ 0:50 kPaÀ1 , wV ¼ 1:0, Pm ! 1 (solid line, original Volmer equation); KmV ¼ 0:50 kPaÀ1 , wV ¼ 1:3, Pm ¼ 186:9 kPa ð Á Á Á ÁÞ; KmV ¼ 0:30 kPaÀ1 , wV ¼ 1:4, Pm ¼ 101:5 kPa ð Þ; KmV ¼ 0:10 kPaÀ1 ; wV ¼ 1:5, Pm ¼ 147:8 kPa ð Á Á Þ. To´th 34 F. The Uniform and Consistent Interpretation of the Modified de Boer–Hobson Equation Both the mobility and the interactions are taken into account by the de Boer–Hobson (BH) equation [10], having the following explicit form:   1 Y À BB Y exp P¼ ð169Þ KB À Y 1ÀY The corresponding function cB ðYÞ is  2 1 ÀBB Y cB ðYÞ ¼ 1ÀY ð170Þ Equation (170) is also thermodynamical inconsistent because the limiting value is Y ¼ 1 if P !

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Adsorption: Theory, Modeling, and Analysis (Surfactant Science Series, Volume 107) by Jozsef Toth


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