By Jozsef Toth
Bargains an summary 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)
6:75=wB . Similar to Eq. 873, isotherms of Type III also are described by the mBH equation. So, the limits and values of BB and wB are modiﬁed if wB > 1:873: isotherms of Type I when 0 < BB < 2=wB ; isotherms of Type V when 2=wB < BB < ð2wB À 1Þ=ðwB À 1Þ2 ; and those of Type III when ð2wB À 1Þ=ðwB À 1Þ2 < BB < 6:75=wB . These limits are interpreted in Fig. 14. For practical applications of Eq. (172) and for calculations of constants KmB , wB , BB , and Pm , a three-parameter ﬁtting procedure is again recommended.
22 The uniform and thermodynamically consistent interpretation of the BT isotherms of Type I. The values of parameters are as follows: KmB ¼ 0:6 kPaÀ1 , wB ¼ 1:2, BB ¼ 0:7, t ¼ 1:0, Pm ¼ 614:2 kPa (solid line, mBH equation); KBT ¼ 9:0 kPaÀt , wB ¼ 1:2, BB ¼ 0:7, t ¼ 0:6, Pm ¼ 486:4 kPa ð Þ; KBT ¼ 0:01 kPaÀt , wB ¼ 1:2, BB ¼ 0:6, t ¼ 1:6, Pm ¼ 760:6 kPa ð Á Á Þ. This equation has the form Y aYt Bx Yt P¼I exp À t tðwx À Yt Þ ðwx À Yt Þ1=t where I ¼ Pm ðwx À 1Þ1=t exp Àa B þ x tðwx À 1Þ t ð261Þ ð262Þ Interpretation of Adsorption Isotherms 53 In Eqs.
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. (133), we have the values of coverage where these minima occur: Ymin ¼ 0:5wF ð134Þ How these places of minima, Ymin , increase according to Eq. (134) are shown in Fig. 8; however; by inserting Eq.
Adsorption: Theory, Modeling, and Analysis (Surfactant Science Series, Volume 107) by Jozsef Toth