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# 3. (35 points) Consider a gas-phase reaction that occurs via the following sequence of elementary steps (l; are reactive intermediates): ki = 15-7 A-321 B+1, ** 12 212 ** C +13 213.D k2 = 12 dm² mol st kz = 30 dm’ mot’s k4 = 90 dm mot’ 57 (a) Setting up the problem: (i) Write the stoichiometric numbers (G) for each elementary step, if I molecule of D is formed in each reaction event (e.g., in the overall stoichiometric reaction). (ii) Write out the overall stoichiometric reaction. (iii) Write expressions for the overall reaction rate, r, in terms of the rates of each elementary step, ri. (iv)Write expressions for the overall reaction rate, r, in terms of the rates of formation of each species, r;. (b) Derive the rate expression for the rate of production of D, rd, in terms of rate constants and concentrations of reactants and products by applying the pseudo steady-state hypothesis (PSSH) for all reactive intermediates. (c) Based on the rate law determined in part (b), determine the steady-state effluent concentration of A. C. for a CSTR (10 dm) with inlet volumetric flowrate 50 dm min and inlet concentrations CA=50 mol dm3 and CBo=150 mol dm. (Hint: this is a gas-phase reaction. Is the overall stoichiometric reaction equimolar, and if not, what is the value of £?)

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