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58   Cha p te r  F o u r


                                                                          *
                       No.  Type    T  [°C]  T  [°C]  CP [kW/°C]  T [°C]  T [°C]
                                                                  *
                                                                         T
                                                                 S
                                             T
                                    S
                       1    Cold      20     180        20        25      185
                       2    Hot      250      40        15       245       35
                       3    Cold    140      230        30       145      235
                       4    Hot     200       80        25       195       75
                     TABLE 4.2  Problem Table Algorithm Example: Process Streams Data (ΔT  = 10°C)
                                                                       min

                 Interval  Stream        ∆T interval   ∑ CP − ∑ CP  ∆H interval   Surplus/
                                                     H
                                          o
                 Temp.    Population     [ C]    [kW/ C]   C   [kW]    Deficit
                                                     o
                 [ C]
                  o
                 245         2
                                           10        15         150    Surplus
                 235
                                    4      40       −15         600    Deficit
                 195                       10        10        −100    Surplus
                 185
                              CP = 15  CP = 30  CP = 25  40  −10  −400  Deficit


                 145                       70        20       1400     Surplus
                                 3
                           CP = 20  CP = 20  40      −5        −200    Deficit
                 75



                 35
                                           10        20        −200    Deficit
                 25
                          1




                TABLE 4.3  Problem Table Algorithm for the Streams in Table 4.2

                     considered just once). This action creates temperature boundaries
                     (TBs), which form the temperature intervals for the problem. For the
                     example in Table 4.2, the TBs are 245°C, 235°C, 195°C, 185°C, 145°C,
                     75°C, 35°C, and 25°C.
                     Step 3
                     The heat balance is calculated for each temperature interval. First,
                     the stream population of the process segments falling within each
                     temperature interval (the first two columns of Table 4.3) is identified.
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