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124                                                       Chapters



           Table  3.4.3  Calculation Procedure for Calculating Heat Transfer to a
            Reactor___________________________________

            1.  Solve  Equations  3.4.9,  3.4.11  and  3.4.23  to  3.4.25  simultaneously  to
           obtain m 2, m 3, y 3i1, y 3i2 and y 3, 5.

           2.  Solve  Equations  3.4.4  to  3.4.8  in terms  of m 4. Substitute these  derived
           equations into Equation 3.4.10 and solve for m 4
           3. Solve for  y4,i,  y4,2, y4,3,  y4,4,  and y4|5 using Equations  3.4.4  to 3.4.8.

           4.  Calculate  the  pure  component  enthalpies  from  Equations  3.4.15  to
           3.4.22.

           5. Calculate the mixture enthalpies from Equations 3.4.13 and 3.4.14.

           6. Calculate Q from Equation 3.4.12.




           the results of a calculation for later reference  and for checking the  solution. Table
           3.4.4  lists the steam properties -  temperature, pressure, flow rate and composition.
           From experience we specify a  0.81  bar  (0.8  atm)  pressure drop across the reactor.
                Now,  calculate  the  enthalpy  for each  component  by  using  an  average  heat
           capacity from the inlet temperature to the base temperature of  25 °C and from the
           base  temperature  to  the  outlet  temperature.  Thus,  Equations  3.4.15  to  3.4.22  for
           each component reduce to

           Ah = c PAT                                                 (3.4.26)

                Next,  calculate  the enthalpy change for each component and then add them
           to obtain the enthalpies of  streams 3 and 4. Table  3.4.5  summarizes the results of
           these calculations.

                From Equation 3.4.12 in Table  3.4.1

                                                          7
                                                 6
                        6
           Q = -13.341xl0  + 800 (-37420) +  16.96  x 10  = -2.63xl0  kcal/h
                        7
                (-10.4xl0 Btu/h).                                     (3.4.27)
                Because  heat  added  to  the  system  is  defined  as  positive,  the  minus  sign
           means that we must remove heat.





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