Additional Homework Problems

CDP13-BB

  It is difficult to carry out a pulse tracer test on a particular commercial reactor because of trouble injecting the tracer all at once. The following data were recorded at the inlet and outlet of the reactor. The concentration is given as a relative concentration.
     
    Tracer input:
image 13eq39a.gif
     
  Tracer output:
image 13eq39b.gif
     
     
    (a) Derive the relationship between Cinput, Coutput, and E(t).
(b) Compare your answer to part (a) with the equation presented by E. B. Nauman [Chem. Eng. Commun., 8, 60 (1981)]. Determine:
(c) The mean residence time.
(d) The variance.
(e)
The conversion for the elementary gas-phase reaction
     
   

image 13eq40.gif

     
    where A and B are fed in stoichiometric proportions with
     
   

image 13eq41.gif

     
    using both the segregation model and the maximum mixedness model.

[2nd Ed. P13-15]