Page 131 - Analysis, Synthesis and Design of Chemical Processes, Third Edition
P. 131

Furthermore, the volume of a batch is found by multiplying Equation (3.10) by v             reac,x , and equating batch

                    volumes for the different products yields


                    (3.11)









                    (3.12)









                    Solving Equations (3.9) and (3.12) yields



                    t  = 53.8h
                     A

                      t  = 148.1h
                       B

                       t  = 298.1h
                       C


                    v        = v        = v        = 7.17 m  3
                      react,A    react,B   react,C
                          Number of batches per campaign for product A = 7.7
                          Number of batches per campaign for product B = 16.5
                          Number of batches per campaign for product C = 29.8


                    Clearly the number of batches should be an integer value. Rounding these numbers yields
                          For product A
                          Number of batches = 8
                          t  = (8)(7) = 56 h
                           A
                          V  = (10,000)(0.005507)(7)/(56) = 6.88 m         3
                            A
                          For product B
                          Number of batches = 16
                          t  = (16)(9) = 144 h
                           B
                          V  = (15,000)(0.007860)(9)/(144) = 7.37 m         3
                            B
                          For product C
                          Number of batches = 30
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