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1
0.9
pinch point
0.8
0.7
L
V
minimum
0.6
0.5
0.4
0.3
0.2
0.1
0
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
x - mole of fraction
Figure 11.4 Minimum reflux with nonideal equilibrium.
1
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
x b
z f
x d
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
x, mole fraction liquid
Figure 11.5 Minimum number of stages.
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