By Hugo I. De Lasa
The cross-fertilization of physico-chemical and mathematical rules has a protracted 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 used to be 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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It must be outlined, however, that it is likely that the chemical features of solute determine the most suitable isotherm for modeling the photoadsorption phenomenon. The modeling results indicate that the parameters of the Langmuir and Freundlich models depend on the absorbed photon flow. In order to take into account the dependence on photon flows, it would be necessary to develop a kinetic model based on the proposed reaction mechanism in which the photons appear as reactants. Work on this field is in progress.
2008b). However, the reducing power remains intact, making possible Cr(VI) reduction. , 2008). Another dye, hydroxoaluminiumtricarboxymonoamide phthalocyanine (AlTCPc), adsorbed on TiO2 particles at different loadings was tested for Cr(VI) photocatalytic reduction under visible irradiation in the presence of 4-CP as sacrificial donor. Direct evidence of the one-electron reduction of Cr(VI) to Cr(V) was also obtained by EPR experiments. The inhibition dye•+/1dye e– A A•– dye•+/dye D D•+ TiO2 Dye Figure 4 Simplified diagram of the heterogeneous photocatalytic processes occurring under visible irradiation when a dye is attached to a semiconductor.
Sh þ hþ ð44Þ Ox2ðphotoadsÞ ! SÃe þ Ox2 ð45Þ Red1ðphotoadsÞ ! SÃh þ Red1 ð46Þ Photodesorption from SÃe Photodesorption from SÃh The combined reactions (35) and (36) or (37), (38), (43) and (44) or (39), (40), (45), and (46) yield a net cycle, where there is no use of the absorbed photons. The radicals formed through reactions 41 and 42 may be further transformed by subsequent reaction with photogenerated active species or through reaction with solvent, other species present in solution (such 28 Vincenzo Augugliaro et al.
Advances in Chemical Engineering: Photocatalytic Technologies by Hugo I. De Lasa