Additional Homework Problems

CDP10-FB

  The dehydrogenation of ethylbenzene is one of the most important methods for the manufacture of styrene. The reaction has been studied using a Shell 105 catalyst (93 wt % Fe2 O 3 , 5% Cr 2 O 3 , 2% KOH) in a differential reactor
[Ind. Eng. Chem. Process Des. Dev. 4, 281 (1965)]. It was observed that the rate of reaction was decreased when styrene was added to the feed stream. Initial rate data showed that as the partial pressure of ethylbenzene was increased to moderate values, the rate of reaction became independent of the partial pressure of ethylbenzene. However, the rate of reaction was also decreased when styrene and hydrogen were formed. The equilibrium constant K p was taken to be 0.415 atm at 630°C. Suggest a mechanism that is consistent with the experimental observations and derive the corresponding rate law. Using the information from the following table, taken at T = 630°C
     

image 10eq24.gif

     
   

evaluate all constants in your model and the determine the total cost of catalyst necessary to produce 2000 kg of styrene per day in

(a) A CSTR fluidized-bed reactor.
(b) A fixed-bed reactor.
(c) Also calculate the cost of the PFR and CSTR needed to hold the catalyst. Steam is used as a diluent in the feed stream, with an H2 O/EtB molar ratio equal to 1/5. In each case, the conversion of ethylbenzene is to be 45%.

[2nd Ed. P6-20]