Additional Homework Problems

CDP10-RC

 

When the decomposition of cumene was carried out over a LaY zeolite catalyst, deactivation of the catalyst was found to occur by coking. The reaction is first-order and was carried out in a differential reactor containing 1 g of catalyst at 430°C [Ind. Eng. Chem. Process Des. Dev., 22, 609 (1983)]. The exit molar flow rate of propylene was monitored as a function of time.

(a) From the data below, determine the decay functionality, with the amount of coke on the catalyst together with the apparent cumene kinetics.
(b) Determine the functionality of the decay function with respect to time and partial pressure of cumene. (Ans.:image 10eq21.gif
(c) Calculate the reactor height necessary to achieve 60% conversion in a STTR. The catalyst particle velocity is 1 m/s. Cumene is to enter the reactor at a rate of 7 mol/ s. The total molar feed rate to the reactor is 10 mol/ s. The bulk density of the catalyst is 0.5 kg/m 3 and the reactor cross-sectional area is in dm 3 .

     
    Run 1:
    Entering partial pressure of cumene: 1 atm
Entering flow rate of cumene 0.32 mol/s
     
   

image 10eq22.gif

     
    Run 2:
    Entering partial pressure of cumene: 0.4 atm
Entering flow rate of cumene 0.01 mol/s
   
   

image 10eq23.gif

     
    [2nd Ed. P6-27]