# Problem 1 Consider a system with three liquid-phase reactions, one...

## Transcribed Text

Problem 1 Consider a system with three liquid-phase reactions, one of which is desired and the others undesired. 1) A + B C (desired); T1 ==12CAC 2) A D (undesired); = k2CA 1+KACA 3) 2B E (undesired); a (5 pts). Express the production rate of each species in terms of reaction rates. b (15 pts). Assume that all rate constants are known and that you can choose CAf and CBf, the feed concentrations of A and B, respectively. Given a choice between a single CSTR or a PFR to produce the desired product, C, is there an obvious choice? Explain why or why not. If not, explain the conditions that would sway you towards choosing a single CSTR versus the conditions that would sway you towards choosing a PFR. C (20 pts). For each of the single CSTR and PFR configurations, write down all of the equations that you would need to solve in order to compute the concentration of C leaving the reactor. For any differential equations, do not forget to specify any initial/boundary conditions. You do not need to solve or simplify these equations. d (10 pts). Is there a configuration with multiple CSTRs in series that might outperform both of the single reactor types? Explain why or why not. Problem 2 Consider the following overall reaction accelerated by a solid catalyst. A(g) B(g) C(g) + D(g) Regarding the mechanism of this reaction, it is known that all four of the major (gas-phase) species reversibly adsorb to catalyst sites. All catalyst sites are identical, and all adsorbed species (A+X, B.X, C.X, and D.X) occupy 1 site. Adsorbate-adsorbate interactions are negligible. a (20 pts). Assuming that adsorption/desorption of all 4 species are close to equilibrium, derive expressions for each adsorbed species, in terms of gas-phase concentrations and constant parameters. b (10 pts). The elementary reaction that occurs on the catalyst surface is unknown, but it may be assumed to be essentially irreversible and rate-limiting. Two different alternatives have been proposed: i) A.X + B.X C.X + D.X ii) A(g) + B.X C.X + D(g) For each of these schemes, derive a compact expression for the overall reaction rate, applying your results from part a. C (20 pts). Suppose that you have the ability to control the gas-phase composition, such that any one of the species concentrations may be varied while keeping the others constant, and to measure the corresponding change in reaction rate. Describe two different experiments that could distinguish between the surface reactions proposed in part b. Explain how the results of each experiment would favor one of the two schemes and rule out the other.

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