Presented
       By
   Mohsin Ali
(2011-MS-CH-68)
Exercise 7.7
    The following cost data, which include operating cost and depreciation of capital
 investment, pertain to Exercise 7.1. Determine by finding the total cost for each of the 14
                                    possible sequences:

      The best                  The second-best                       The worst
      sequence                     sequence                           sequence




      Are the heuristics of Section 7.4 in agreement with the results based on costs?
Cost Data
 Split     Cost ($/yr)       Split        Cost ($/yr)
 C3/B1       15,000       C3,B1,NB/B2      510,000
 B1/NB      190,000       C3,B1/NB,B2      254,000
 NB/B2      420,000       C3/B1,NB,B2       85,000
 B2/C5       32,000       B1,NB,B2/C5       94,000
                          B1,NB/B2,C5      530,000
C3,B1/NB    197,000       B1/NB,B2,C5      254,000
C3/B1,NB     59,000
B1,NB/B2    500,000      C3,B1,NB,B2/C5     95,000
B1/NB,B2    247,000      C3,B1,NB/B2,C5    540,000
NB,B2/C5     64,000      C3,B1/NB,B2,C5    261,000
NB/B2,C5    460,000      C3/B1,NB,B2,C5     90,000
Feed Properties
    Component           Feed Flow Rate      Approx. Realtive
                          (lbmol/hr)     Volatility Relative to C5


    Propane (C3)              10                    8.1
    Butene-1 (B1)            100                    3.7
   n-Butene (NB)             341                    3.1
Butene-2 isomers (B2)        187                    2.7
   N-Pentane (C5)            40                     1.0
C3                C3
B1
     Separation   B1
NB
B2     Train      NB
C5                B2
                  C5
Number of
                     Possible
                    Sequences




         Here,
                 P= Number of Products= 5

Hence,
     Ns = Number of Possible Sequences = 14
Sequence # 1

     C3          B1            NB        B2




C3
B1
NB
B2
C5        B1
                      NB
          NB                        B2
                      B2
          B2                        C5
                      C5
          C5
                                         C5




               Total Cost = $817,000
Sequence # 2

                                         C3


          c3
          B1          C3
C3        NB          B1            C3
B1        B2          NB            B1
NB
B2
C5




     C5          B2            NB        B1




               Total Cost = $836,000
Sequence # 3

     C3                          B1        NB


                        B1
                        NB
C3                      B2
B1
NB
B2                                    NB
          B1
C5                                    B2
          NB
          B2
          C5

                 C5                        B2




               Total Cost = $851,000
Sequence # 4

                 C3                     B1


          C3                       B1
          B1                       NB
C3        NB
B1        B2
NB
B2
C5                    B1
                      NB
                      B2

     C5                       B2        NB




               Total Cost = $870,000
Sequence # 5

     C3          B1                        NB


                                      NB
                                      B2
C3
B1
NB
B2        B1
C5        NB            NB
          B2            B2
          C5            C5

                                 C5        B2




               Total Cost = $828,000
Sequence # 6

     C3                                 B1

                      B1
                      NB           B1
                      B2           NB
C3
B1
NB
B2        B1
C5        NB
          B2
          C5

                 C5           B2        NB




               Total Cost = $874,000
Sequence # 7

                 C3           B1        NB

          C3
          B1
          NB
C3
          B2
B1
NB
B2
C5                    B1           NB
                      NB           B2
                      B2

     C5                                 B2




               Total Cost = $847,000
Sequence # 8

                                  C3        B1

          C3
          B1             C3
          NB             B1
C3                       NB
          B2
B1
NB
B2
C5                                     B1
                                       NB


     C5           B2                        NB




               Total Cost = $854,000
Sequence # 9


                  C3



       C3
       B1                    NB
C3
B1
NB                 B1
B2
C5
       NB
       B2
       C5                    B2


                  C5




     Total Cost = $760,000
Sequence # 10

                  C3


       C3                    B1
       B1
C3     NB
B1
NB
B2                B2
C5                           NB
       B2
       C5



                  C5



     Total Cost = $768,000
Sequence # 11

                C3




C3
B1
NB              B1
B2                    NB
C5
                           B2




                           C5

     Total Cost = $784,000
Sequence # 12


                             C3




                             B1
C3
B1
                             NB
NB                B2
B2
C5




                 C5

     Total Cost = $821,000
Sequence # 13


     C3                   B1
C3
B1
NB            B1
B2            NB
C5
                               NB
                               B2

               B2
               C5



                          C5

      Total Cost = $842,000
Sequence # 14

                           C3




               C3
               B1
     C3
     B1
     NB                    B1
                                NB
C3   B2
B1             NB
NB             B2
B2
C5

      C5                   B2


      Total Cost = $784,000
Sequence # 9

                C3



     C3
     B1                  NB
C3
B1
NB              B1
B2
C5
     NB
     B2
     C5                  B2


                C5


     Total Cost = $760,000
Sequence # 10

                C3


      C3                   B1
      B1
C3    NB
B1
NB
B2              B2
C5                         NB
      B2
      C5



                C5


     Total Cost = $768,000
Sequence # 6
     C3                                B1

                      B1
                      NB          B1
                      B2          NB
C3
B1
NB
B2        B1
C5        NB
          B2
          C5

                 C5          B2        NB



               Total Cost = $874,000
Now we will analyze the three
sequences in terms of Heuristics
The Best
Sequence
Heuristic # 1:
Remove thermally unstable, corrosive, or chemically reactive
components early in the sequence.

                                C3



                     C3
                     B1                  NB
            C3
            B1
            NB                  B1
            B2
            C5
                    NB
                    B2
                    C5                   B2


                                C5
Sequence # 1

     C3         B1            NB        B2




C3
B1
NB
B2
C5        B1
                     NB
          NB                       B2
                     B2
          B2                       C5
                     C5
          C5
                                        C5
   Heuristic # 1:
    Remove thermally unstable, corrosive, or chemically reactive
    components early in the sequence.

                                    C3



                         C3
                         B1                  NB
                C3
                B1
                NB                  B1
                B2
                C5
                        NB
                        B2
                        C5                   B2


                                    C5
   Heuristic # 2:
    Remove final products one by one as distillates (the direct
    sequence).
                                  C3



                       C3
                       B1                   NB
              C3
              B1
              NB                   B1
              B2
              C5
                       NB
                       B2
                       C5                   B2


                                  C5
   Heuristic # 3:
    Sequence separation points to remove, early in the sequence, those
    components of greatest molar percentage in the feed.

                               C3



                     C3
           C3
                     B1                  NB   341 lbmol/hr
           B1
           NB                  B1
           B2
           C5
                     NB
                     B2
                     C5                  B2   187 lbmol/hr

                               C5   40 lbmol/hr
   Heuristic # 4:
    Sequence separation points in the order of decreasing relative
    volatility so that the most difficult splits are made in the absence of
    the other components.

                                  C3   8.1


                      C3
             C3
                      B1                     NB   3.1
             B1
             NB                   B1
             B2
             C5
                      NB
                      B2
                      C5                     B2   2.7

                                  C5
Heuristic # 5:
Sequence separation points to leave last those separations that give
the highest-purity products.

                              C3



                   C3
                   B1                  NB
         C3
         B1
         NB                   B1
         B2
         C5
                  NB
                  B2
                  C5                   B2


                              C5
   Heuristic # 6:
    Sequence separation points that favor near equimolar amounts of
    distillate and bottoms in each column.

                                 C3   9%

                           16%
                      C3
              C3
                      B1                    NB   65%
              B1
              NB                 B1   91%
              B2
              C5                      93%
                      NB
                      B2
                      C5   84%              B2   35%

                                 C5   7%
The
Second
 Best
   Heuristic # 1:
    Remove thermally unstable, corrosive, or chemically reactive
    components early in the sequence.


                                 C3


                      C3                   B1
                      B1
              C3      NB
              B1
              NB
              B2                  B2
              C5                           NB
                       B2
                       C5



                                  C5
   Heuristic # 2:
    Remove final products one by one as distillates (the direct
    sequence).


                                 C3


                     C3                    B1
                     B1
            C3       NB
            B1
            NB
            B2                   B2
            C5                             NB
                      B2
                      C5



                                 C5
   Heuristic # 3:
    Sequence separation points to remove, early in the sequence, those
    components of greatest molar percentage in the feed.

                              C3


                   C3                   B1   187 lbmol/hr
                   B1
           C3      NB
           B1
           NB
           B2                  B2
           C5                           NB   341 lbmol/hr
                     B2
                     C5



                               C5
   Heuristic # 4:
    Sequence separation points in the order of decreasing relative
    volatility so that the most difficult splits are made in the absence of
    the other components.
                                C3   8.1

                    C3                     B1   3.7
                    B1
           C3       NB
           B1
           NB
           B2                   B2
           C5                              NB   3.1
                     B2
                     C5



                                C5
Heuristic # 5:
Sequence separation points to leave last those separations that give
the highest-purity products.

                           C3


                C3                   B1
                B1
       C3       NB
       B1
       NB
       B2                  B2
       C5                            NB
                 B2
                 C5



                           C5
   Heuristic # 6:
    Sequence separation points that favor near equimolar amounts of
    distillate and bottoms in each column.


                                C3
                                     3%
                   C3                           23%
                          66%              B1
                   B1
                   NB
           C3                        97%
           B1
           NB
           B2                   B2   82%
           C5                              NB   77%
                     B2   34%
                     C5



                                C5   18%
Conclusion
 In terms of cost, the best sequence is sequence #9, the
  second best is sequence #10 and the worst one is
  sequence #6.
 Although the Sequences 9 & 10 are best in terms of
  cost but they follow the heauristics to a minor extend.
THANKS FOR
   THE
ATTENTION

Presentation1

  • 1.
    Presented By Mohsin Ali (2011-MS-CH-68)
  • 2.
    Exercise 7.7 The following cost data, which include operating cost and depreciation of capital investment, pertain to Exercise 7.1. Determine by finding the total cost for each of the 14 possible sequences: The best The second-best The worst sequence sequence sequence Are the heuristics of Section 7.4 in agreement with the results based on costs?
  • 3.
    Cost Data Split Cost ($/yr) Split Cost ($/yr) C3/B1 15,000 C3,B1,NB/B2 510,000 B1/NB 190,000 C3,B1/NB,B2 254,000 NB/B2 420,000 C3/B1,NB,B2 85,000 B2/C5 32,000 B1,NB,B2/C5 94,000 B1,NB/B2,C5 530,000 C3,B1/NB 197,000 B1/NB,B2,C5 254,000 C3/B1,NB 59,000 B1,NB/B2 500,000 C3,B1,NB,B2/C5 95,000 B1/NB,B2 247,000 C3,B1,NB/B2,C5 540,000 NB,B2/C5 64,000 C3,B1/NB,B2,C5 261,000 NB/B2,C5 460,000 C3/B1,NB,B2,C5 90,000
  • 4.
    Feed Properties Component Feed Flow Rate Approx. Realtive (lbmol/hr) Volatility Relative to C5 Propane (C3) 10 8.1 Butene-1 (B1) 100 3.7 n-Butene (NB) 341 3.1 Butene-2 isomers (B2) 187 2.7 N-Pentane (C5) 40 1.0
  • 5.
    C3 C3 B1 Separation B1 NB B2 Train NB C5 B2 C5
  • 6.
    Number of Possible Sequences Here, P= Number of Products= 5 Hence, Ns = Number of Possible Sequences = 14
  • 7.
    Sequence # 1 C3 B1 NB B2 C3 B1 NB B2 C5 B1 NB NB B2 B2 B2 C5 C5 C5 C5 Total Cost = $817,000
  • 8.
    Sequence # 2 C3 c3 B1 C3 C3 NB B1 C3 B1 B2 NB B1 NB B2 C5 C5 B2 NB B1 Total Cost = $836,000
  • 9.
    Sequence # 3 C3 B1 NB B1 NB C3 B2 B1 NB B2 NB B1 C5 B2 NB B2 C5 C5 B2 Total Cost = $851,000
  • 10.
    Sequence # 4 C3 B1 C3 B1 B1 NB C3 NB B1 B2 NB B2 C5 B1 NB B2 C5 B2 NB Total Cost = $870,000
  • 11.
    Sequence # 5 C3 B1 NB NB B2 C3 B1 NB B2 B1 C5 NB NB B2 B2 C5 C5 C5 B2 Total Cost = $828,000
  • 12.
    Sequence # 6 C3 B1 B1 NB B1 B2 NB C3 B1 NB B2 B1 C5 NB B2 C5 C5 B2 NB Total Cost = $874,000
  • 13.
    Sequence # 7 C3 B1 NB C3 B1 NB C3 B2 B1 NB B2 C5 B1 NB NB B2 B2 C5 B2 Total Cost = $847,000
  • 14.
    Sequence # 8 C3 B1 C3 B1 C3 NB B1 C3 NB B2 B1 NB B2 C5 B1 NB C5 B2 NB Total Cost = $854,000
  • 15.
    Sequence # 9 C3 C3 B1 NB C3 B1 NB B1 B2 C5 NB B2 C5 B2 C5 Total Cost = $760,000
  • 16.
    Sequence # 10 C3 C3 B1 B1 C3 NB B1 NB B2 B2 C5 NB B2 C5 C5 Total Cost = $768,000
  • 17.
    Sequence # 11 C3 C3 B1 NB B1 B2 NB C5 B2 C5 Total Cost = $784,000
  • 18.
    Sequence # 12 C3 B1 C3 B1 NB NB B2 B2 C5 C5 Total Cost = $821,000
  • 19.
    Sequence # 13 C3 B1 C3 B1 NB B1 B2 NB C5 NB B2 B2 C5 C5 Total Cost = $842,000
  • 20.
    Sequence # 14 C3 C3 B1 C3 B1 NB B1 NB C3 B2 B1 NB NB B2 B2 C5 C5 B2 Total Cost = $784,000
  • 21.
    Sequence # 9 C3 C3 B1 NB C3 B1 NB B1 B2 C5 NB B2 C5 B2 C5 Total Cost = $760,000
  • 22.
    Sequence # 10 C3 C3 B1 B1 C3 NB B1 NB B2 B2 C5 NB B2 C5 C5 Total Cost = $768,000
  • 23.
    Sequence # 6 C3 B1 B1 NB B1 B2 NB C3 B1 NB B2 B1 C5 NB B2 C5 C5 B2 NB Total Cost = $874,000
  • 24.
    Now we willanalyze the three sequences in terms of Heuristics
  • 25.
  • 26.
    Heuristic # 1: Removethermally unstable, corrosive, or chemically reactive components early in the sequence. C3 C3 B1 NB C3 B1 NB B1 B2 C5 NB B2 C5 B2 C5
  • 27.
    Sequence # 1 C3 B1 NB B2 C3 B1 NB B2 C5 B1 NB NB B2 B2 B2 C5 C5 C5 C5
  • 28.
    Heuristic # 1: Remove thermally unstable, corrosive, or chemically reactive components early in the sequence. C3 C3 B1 NB C3 B1 NB B1 B2 C5 NB B2 C5 B2 C5
  • 29.
    Heuristic # 2: Remove final products one by one as distillates (the direct sequence). C3 C3 B1 NB C3 B1 NB B1 B2 C5 NB B2 C5 B2 C5
  • 30.
    Heuristic # 3: Sequence separation points to remove, early in the sequence, those components of greatest molar percentage in the feed. C3 C3 C3 B1 NB 341 lbmol/hr B1 NB B1 B2 C5 NB B2 C5 B2 187 lbmol/hr C5 40 lbmol/hr
  • 31.
    Heuristic # 4: Sequence separation points in the order of decreasing relative volatility so that the most difficult splits are made in the absence of the other components. C3 8.1 C3 C3 B1 NB 3.1 B1 NB B1 B2 C5 NB B2 C5 B2 2.7 C5
  • 32.
    Heuristic # 5: Sequenceseparation points to leave last those separations that give the highest-purity products. C3 C3 B1 NB C3 B1 NB B1 B2 C5 NB B2 C5 B2 C5
  • 33.
    Heuristic # 6: Sequence separation points that favor near equimolar amounts of distillate and bottoms in each column. C3 9% 16% C3 C3 B1 NB 65% B1 NB B1 91% B2 C5 93% NB B2 C5 84% B2 35% C5 7%
  • 34.
  • 35.
    Heuristic # 1: Remove thermally unstable, corrosive, or chemically reactive components early in the sequence. C3 C3 B1 B1 C3 NB B1 NB B2 B2 C5 NB B2 C5 C5
  • 36.
    Heuristic # 2: Remove final products one by one as distillates (the direct sequence). C3 C3 B1 B1 C3 NB B1 NB B2 B2 C5 NB B2 C5 C5
  • 37.
    Heuristic # 3: Sequence separation points to remove, early in the sequence, those components of greatest molar percentage in the feed. C3 C3 B1 187 lbmol/hr B1 C3 NB B1 NB B2 B2 C5 NB 341 lbmol/hr B2 C5 C5
  • 38.
    Heuristic # 4: Sequence separation points in the order of decreasing relative volatility so that the most difficult splits are made in the absence of the other components. C3 8.1 C3 B1 3.7 B1 C3 NB B1 NB B2 B2 C5 NB 3.1 B2 C5 C5
  • 39.
    Heuristic # 5: Sequenceseparation points to leave last those separations that give the highest-purity products. C3 C3 B1 B1 C3 NB B1 NB B2 B2 C5 NB B2 C5 C5
  • 40.
    Heuristic # 6: Sequence separation points that favor near equimolar amounts of distillate and bottoms in each column. C3 3% C3 23% 66% B1 B1 NB C3 97% B1 NB B2 B2 82% C5 NB 77% B2 34% C5 C5 18%
  • 41.
    Conclusion  In termsof cost, the best sequence is sequence #9, the second best is sequence #10 and the worst one is sequence #6.  Although the Sequences 9 & 10 are best in terms of cost but they follow the heauristics to a minor extend.
  • 42.
    THANKS FOR THE ATTENTION