Learning Resources

Example CD10-4: Catalyst Poisoning in a Constant-Volume Batch Reactor

Equation numbers refer to DVD Chapter 10

Develop a decay Equation for catalyst poisoning solely as a function of catalyst activity.






Solution

   

For the case of a constant-volume batch reactor, a mole balance of the poison in the gas phase combined with the rate law for poisoning [Equation (10-109)] gives

 
       
   

image 10eq70.gif


(CD10-4.1)
       
   

where k A =kC T0 is the initial total concentration of unpoisoned site, C P•S is the concentration of the poisoned sites, and ƒ is the fraction of the poisoned sites. Taking the ratio of Equation (10-111) to Equation (CD10-4.1)

  
       
    image 10eq71.gif  
       
   

and then integrating with limits a = 1 and C P =C P0

  
       
    image 10eq72.gif

(CD10-4.2)
       
   

or

  
       
    image 10eq73.gif

(CD10-4.3)
       

Constant-
volume batch

  

The decay can now be written in the form

  
       
image 10eq74.gif

(CD10-4.4)

which is of the form:

(CD10-4.5)

where
   

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