Page 174 - Analysis, Synthesis and Design of Chemical Processes, Third Edition
P. 174

1.   Toluene is the limiting reactant.
                          2.   Hydrogen is an excess reactant (more than 400% excess).
                          3.   Methane, a reaction product, is present in significant amounts.


                    Reaction  Products  (Methane)  in  Feed.      The  presence  of  reaction  product  in  the  feed  results  in  a
                    reduction  in  the  equilibrium  conversion  (see Table  6.3).  However, Example  6.3  shows  that  at  the
                    conditions selected for the reactor, the equilibrium conversion remained high despite the presence of the
                    methane in the feed.


                    Excess  Reactant  (Hydrogen)  in  Feed.      The  presence  of  excess  reactants  in  the  feed  results  in  an
                    increase  in  equilibrium  conversion  (see Table  6.3) . Example  6.4  explores  the  effect  of  this  excess
                    hydrogen on conversion.


                    Example 6.4



                    (Reference Example 6.3). Reduce the amount of hydrogen in the feed to the reactor to the stoichiometric
                    amount—that is, 144 kmol/h—and determine the effect on the equilibrium conversion at 600°C.


                    The calculations are not shown. They are similar to those in Example 6.3(b). The total moles of hydrogen
                    in the feed were changed from 735.4 kmol/h to the stoichiometric value of 144 kmol/h.


                    The results obtained were N = 128.8 kmol/h, equilibrium conversion = 0.895 (89.5%).

                    Example  6.4  reveals  that  the  presence  of  the  large  excess  of  hydrogen  had  a  noticeable  effect  on  the

                    equilibrium conversion.

                    We conclude that thermodynamic considerations do not explain the selection of the high temperature, the

                    high  pressure,  and  the  presence  of  reaction  products  in  the  feed.  The  presence  of  a  large  excess  of
                    hydrogen is the only positive effect predicted by thermodynamics.

                    Consideration of Reaction Kinetics.   The information on reaction kinetics is limited in this chapter. We

                    will present a more detailed description of the kinetics rate expression in a case study in Chapter 20, and
                    we investigate the predictions made in this chapter with this limited information. However, you will find
                    that a great deal of understanding can be extracted from the limited information presented here.


                    From the information provided in Table 6.6 and Chapter 1 we know that
                          1.   The reaction takes place in the gas phase.
                          2.   The reaction is kinetically controlled.
                          3.   There are no significant side reactions.


                    High-Temperature  Concern  (see Table  6.1).      In  a  region  where  the  reaction  kinetics  control,  the
                    reaction rate increases rapidly with temperature, as Example 6.5 illustrates.


                    Example 6.5


                    The activation energy for the rate of reaction for the hydrodealkylation of toluene is equal to 148.1 kJ/mol
                    (Tarhan [2]). What is the reaction rate at 600°C relative to that at 400°C?
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