By Hugo I. De Lasa
The cross-fertilization of physico-chemical and mathematical rules has an extended historic culture. This quantity of Advances in Chemical Engineering is nearly thoroughly devoted to a convention on 'Mathematics in Chemical Kinetics and Engineering' (MaCKiE-2007), which was once held in Houston in February 2007, bringing jointly approximately forty mathematicians, chemists, and chemical engineers from 10 international locations to debate the applying and improvement of mathematical instruments of their respective fields.
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Colloid Interface Sci. 287, 14 (2005). F. J. Colloid Interface Sci. 280, 322 (2004). , and Imai, H. Thin Solid Films 445, 284 (2003). , and Soria, J. J. Photochem. Photobiol. C 7, 127 (2006). I. “Fundamental Aspects of the Adsorption and the Desorption of Gases at SolidSurfaces under Illumination” in M. ), “Photoelectrochemistry, 34 Vincenzo Augugliaro et al. Photocatalysis and Photoreactors, Fundamentals and Developments”. Reidel, Dordrecht (1985a), pp. 379–388. I. “Some Experimental Investigations of Photosorption Phenomena at the Gas-Solid Interface” in M.
At very high concentrations of substrate the following inequality may be assumed to hold: KLÃ C L >> 1 ðA1Þ In this case from Equation (13) one obtains Sub nS KLÃ CL ¼ %1 Ã WNS 1 þ KLÃ CL ðA2Þ and Equation (14) transforms in CT ¼ CL þ WNSÃ V ðA3Þ The total disappearance rate of substrate per unit surface area, rT, gets of zero order so that Equation (15) can be written as: À V dCT ¼k WSS dt ðA4Þ Taking the derivative of Equation (A3) with respect to time, it yields that dCT/dt = dCL/dt. Substituting this equality in Equation (A4) and rearranging, one obtains À dCL WSS ¼ k dt V ðA5Þ Integration of Equation (A5) with the condition that CL = CL,0 for t = 0 yields the following relationship: CL ¼ CL;0 À WSS kt V ðA6Þ which is a linear relationship between the concentration values measured in the solution and the irradiation time.
Chem. Soc. 130, 1568 (2008a). , and Palmisano, L. Catal. 032, (2008b). , and Watanabe, T. Nature 388, 431 (1997). , and Hashimoto, K. J. Phys. Chem. B 103, 2188 (1999). , and Hashimoto, K. Thin Solid Films 351, 260 (1999). L. Phys. Chem. Chem. Phys. 2, 4441 (2000). CHAPTER 2 Treatment of Chromium, Mercury, Lead, Uranium, and Arsenic in Water by Heterogeneous Photocatalysis Marta I. Litter Contents 1. Introduction 2. Thermodynamical Considerations and Mechanistic Pathways 3. Chromium 4. Mercury 5.
Advances in Chemical Engineering: Photocatalytic Technologies by Hugo I. De Lasa