Environmental Engineering Reference
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y A 0
V 0
y A 2
y A 1
V 2
V 1
M 2
M 1
O 1
O 0
O 2
x A 2
x A 1
x A 0
Figure 5.7 Triangular diagram depicting cross-flow cascade.
Example 5.1: cross-flow cascade
Problem:
Acetic acid (vinegar) is a common component in the waste stream of various
fermentation processes. This process represents a significant environmental concern
because the manufacture of pharmaceuticals can result in carboxylic acid-containing
by-products. The carboxylic acid byproducts must be removed from the pharmaceuti-
cal products as well as any water streams prior to discharge. Isopropyl ether has been
used as a solvent for extraction. The isopropyl ether is then distilled and recycled
back to the extraction process. As an example, a feed that is 30 wt% acetic acid and
70 wt% water is fed to a two-stage cross-flow cascade. Feed flowrate is 1000 kg
/
hr,
hr of solvent containing 99 wt% isopropyl ether and 1% acetic acid is
added to each stage. Operation is at 20 C and 1 atm where the equilibrium data are
given in Table 5.1 [2]. Determine:
(a) the weight fractions of the outlet raffinate and the two outlet extract streams;
(b) the flowrate of the outlet raffinate.
Solution:
Figure 5.8 is a schematic of the example. Point O 0 and point V 0 are plotted on Figure 5.9,
with a line connecting them. The x -coordinate of the first mixing point, M 1 ,was found
from the equation:
and 1250 kg
/
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