Binary
Phase Diagram: Vapor liquid
equilibrium behavior of binary systems can be represented by a temperature
composition diagram at a given constant pressure. The bubble- and dew point- curves converge at the two ends, which
represent the saturation points of the two components. Equilibrium composition of any mixture in
two-phase region can be found by drawing a horizontal line. Certain non-ideal systems deviate so much
from these as to form maxima or minima at an intermediate composition rather
than at on end or the other of the diagram.
Such a composition is called an "azeotropic composition". Phase equilibrium is important in design of
distillation columns. Such design is
commonly based on use of a xy diagram, a plot of equilibrium vapor
composition y versus liquid composition x for a given binary system at a
given pressure.
Example
6.4: Calculate the vapor-liquid equilibrium
composition of an ideal binary mixture of benzene and toluene at 760 mm
Hg. Given the following information:
Boiling point
of benzene, tb = 80.1 °C
Boiling point
of toluene, tt = 130.13 °C
Solution: Using the
vapor pressure data from previous examples, we can establish the following
equilibrium values.
|
t/°C |
Α |
y |
x |
|
85 |
4.66 |
0.956 |
0.824 |
|
90 |
4.53 |
0.903 |
0.672 |
|
95 |
4.42 |
0.839 |
0.542 |
|
100 |
4.30 |
0.765 |
0.43 |
|
105 |
4.20 |
0.678 |
0.334 |
|
110 |
4.10 |
0.577 |
0.25 |
|
115 |
4.005 |
0.461 |
0.176 |
|
120 |
3.915 |
0.328 |
0.111 |
|
125 |
3.831 |
0.176 |
0.053 |
|
130 |
3.75 |
0.005 |
0.001 |