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12.18 Equation 12.1 applies for any “theoretical simple sequence” separation, i.e., where each
separation unit makes a perfect split between components. These sequences can be for
12.19 In the derivation of Equation 12.1, it is assumed that each unit is a perfect separator, with
12.20 Non-simple separation units include:
a. Distillation columns with multiple side-draws. Capital costs could go down
because the number of columns decreases. Operability and safety may improve
because of the reduced number of reboilers, but operability might degrade
12.21 Equation 12.1 applies to batch and semi-batch processes if and only if each unit is a
perfect separator. If a single unit is used to produce three or more outlets, or if the
12.22 Although this process would result in pure C (in the limit), this is an advantageous
strategy only if breaking the A+B azeotrope is not desired. Also, not all of component C
12.23 The composition of a ternary, minimum-boiling azeotrope can be an unstable node or a
12.24 Typical heuristics include:
a. If limited kinetics modeling and/or kinetics data are available, use a batch reactor at
the same conditions as the experiment.
12.25 Biological systems tend to have a finite (often short) lifetime before deactivation through
age or mutation. Some biological products are only produced during specific time
intervals of the organism’s life cycle. Materials can slowly poison biological systems or
become substrates for cultures that result in undesirable growth characteristics.
Biological products often degrade over time, through growth or oxidation that make them
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12.26 Azeotropic mixtures can be used as solvents to simplify recycle of the solvent from
overhead streams (U.S. patent 6,551,978), as refrigerants (U.S. patent 6,221,273), as
solvents in other processes such as printing (U.S. patent 6,682,877), and in art restoration
12.27 In biological reactor systems, small temperature differences between the reactor and the
heating/cooling surfaces are especially important. Large temperature differences can lead
12.28 Continuous sterilization is often used for process equipment when sufficient cell lysis
throughout the process equipment surfaces can be assured. However, batch sterilization