(1) The vapor-phase hydrogenation of isooctene to isooctane over platinum catalyst [i-C8,H16 (R) +H2 - i-C8H18 (P)] is conducted in a differential reactor that can neglect any diffusion limitations.The following

mechanism is suggested in literature. R+S \underset{k_{-1}{n}}^{k_{R}} R \cdot S \quad(S ; \text { vecant sites }) H_{2}+S \underset{k-\|}{\frac{k_{n}}{k-n}} H_{2} \cdot S R \cdot S+H_{2} \cdot S \stackrel{k_{s}}{\longrightarrow} P \cdot S+S \text { (rate-determining step) } P \cdot S \underset{k_{-r}}{\stackrel{k_{P}}{k_{P}}} P+S (a) Derive the reaction rate expression from the above mechanism. (5 pt) (b) Calculate all kinetic parameters (overall rate constant and equilibrium adsorption constants) of your derived rate expression, using the following data. (5 pt) (c) Hydrogen and i-octene are to mol/min at 200 °C and 3 atm. Calculate the catalyst weight (unit: kg) to achieve the iso octene conversion of 80% in a CSTR with no pressure drop. (3 pt)fed in stoichiometric proportions at a total rate of 5.