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

By Jozsef Toth

ISBN-10: 0824707478

ISBN-13: 9780824707477

Bargains 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 resources for Adsorption: Theory, Modeling, and Analysis (Surfactant Science Series, Volume 107)

Sample text

218), (212), and (217) have been conjugated. 6). It is evident that t ¼ 1 represents the modified Langmuir equation. The values t < 1 relate to heterogeneous surfaces where the adsorbent–absorptive interactions are greater than those between the molecules adsorbed. The values t > 1 relate to the reverse situation. From these suppositions, it follows that the mL equation cannot be applied to homogeneous surfaces only, but it can describe isotherms measured on heterogeneous surfaces on the condition that the two interactions adsorbent-adsorptive interactions and those between adsorbed molecules are approximately equal.

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. (134) into Eq. (133), the decreasing character of BF;min can be calculated explicitly: BF;min ¼ 4 wF ð135Þ In Fig. 8, the values of BF;min are represented by horizontal dotted lines.

This requirement can be taken by one parameter, t, applied to the coverage as a power into account; that is, Yt > Y if 01 ð197Þ To´th 42 First, let us consider relationship (196). According to the modified Langmuir equation, its function cðYÞ can be defined by Eq. (129): wL cmL ðYÞ ¼ wL À Y Taking requirement (196) into account, we obtain wT 0

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

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