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Process Systems Engineering 

Prof. Davide Manca 

Dipartimento di Chimica, Materiali e Ingegneria Chimica “G. Natta” 

Politecnico di Milano 

Exercise #2 

The  kinetic  model  relative  to  the  main  reactions  that  schematize  the  process  of  dealkylation  is  shown below. 

Reaction #1:    

C6H5‐CH3 + H2  C6H6 + CH4 

1 1

3.5E 10 50900 A

E

 

1

1 1exp E

k A

RT

 

   R1k c1 T cH

Reaction #2:    

2 C6H6  C12H10 + H2 

2 2

2.1E 12 60500 A

E

 

2

2 2exp E

k A

RT

 

      R2k c2 B2

Activation energies are in kcal/kmol, and the constants of reaction are expressed in kmol/m3/s. 

We ask to: 

 determine, via numerical integration of the plug‐flow model of the reactor, the conversion, the  selectivity  and  the  residence  time  as  a  function  of  the  operating  temperature,  by assuming isothermal the reactor, and neglecting the presence of recycles in the evaluation of initial concentrations

 evaluate the adiabatic T of the reaction so to determine if the reactor can be considered isothermal

Carry out the following diagrams: 

 conversion/selectivity as a function of reactor temperature

 temperature/conversion by imposing the selectivity of at least 96%

 temperature/residence time of imposing the selectivity of at least 96%

 residence  time/flow  rates  of  each  of  the  input  streams  as  a  function  of  the  reactor temperature 

A suitable range of investigation for the working temperature of this unit is: 600‐750 °C. 

N.B.:  check  that  the  numerical  integration  gives  results  consistent  with  those  determined  in  the  previous tutorial. 

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