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7.3 Kinetic Model It is beneficial to create a kinetic model to further verify the mechanism of the gold- bromide system. The geometry of the shredded printed circuit boards is classified into two categories, spherical particles and flat plates, due to chemical compositions and structures of printed circuit boards. Thus, the complexing geometry of the shredded printed circuit boards makes it difficult to create a kinetic model, covering both spherical particles and flat plates. 7.3.1 Theory of Liquid-Solid Reactions The fundamental unit of a liquid-solid reaction is possibly simplified as a single particle interacting with an aqueous phase. Ideally, this heterogeneous irreversible reaction may be expressed as follows: aA(solid) + bB(aqueous) = cC(aqueous) + dD(solid) (7.10) where a, b, c, and d are stoichiometric coefficients. In this study, given that there is no solid product and the solid A always shrinks, Eq. 7.10 can be further simplified as follows: aA(solid) + bB(aqueous) = cC(aqueous) (7.11) Two depictions of a spherical particle A and flat plate A reacting in an aqueous B are shown in Fig. 7.8 and Fig. 7.9. Ideally, the following steps are likely to occur: 1. Mass transport of aqueous B from the bulk solution to the reaction surface, 2. Adsorption of B on the surface of solid A, 3. Chemical reaction of aqueous B with solid A, 4. Desorption of reaction products from the solid surface, 5. Mass transport of aqueous products away from the interface to the bulk solution. For a fluid film diffusion, the flux of B to the surface of solid A is JB = h(CB(bulk) – CB(interface)) where h is the mass transfer coefficient. The interface reaction rate of Eq.7.10 is given by rB = kCBinn where k is the rate constant. (7.12) (7.13) 97PDF Image | HYDROMETALLURGICAL TREATMENT OF E-SCRAP
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