Question

C. For the catalytic decomposition of cumene to form benzene and propylene: C&HSCH(CH3)2C&Hs+CaHs CS B+P If the surface reaction is the rate-limiting step, and the surface reaction to form adsorbed benzene and propylene in the gas phase is C+S B.S+P k C,K (Pe-P,P,I K,) 1+P_K+P Kc (a) Derive the rate law: (15 pt) (b) Plot the initial rate of reaction as a function of the initial partial pressure of cumene. (10 pt) S: active site; k;: surface reaction rate constant; C; the total concentration of active sites on the catalyst; Kc: the cumene adsorption equilibrium; KB: the benzene adsorption equilibrium constant; Kp: the equilibrium constant of the cumene decomposition reaction; P: partial pressure of species i

Answer 1

Solution B P C gade Limitng eb Surface eaction i8 B.S + P CS A A dsof bdisn af Cumene Sushace Reaction Desal plon of erzene

KA C.S. S4 K_A K C-S K_S +S. B B.S K K KA PCv -A AD Ces KA 11 Kc AD Adsopion: Ks CCs Ks SuA farce Rxn KS Kp Ces Desafeption Kos.

K DB geveese of adsotion of ben zehe Ce-Ka Ceas Desokptian: allomu lation Aeacding theae AS no Species AD Limiting ade Suh face Aeacd'on AS Ks With Comarkison KA and Kp ahe velly lasge Limiting 21aface geachion When to AD KA Similaaly / K PC CBs

and Ces of value these Sub8titute eguadion (D In P-1PCV Ks Ke eleminate C have we 1-1 t/ vacant es Cancenthation euation Afe Substitu de in get, CV We exr elaron in eguation this Put

be will The intial ate co 4Ke Pco Partiat Paeses of Cimene, A+ Low Zuco wheae Partial Pheies high A+ S/ co Ke Pio independent Patial prese the COmene

Greaph Gritial Patia Pee f Cumere iee fnhia Jafe TAAA