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Cyclohexanol is a highly desired chemical precursor for the production of nylon (billions of kilograms of...

Cyclohexanol is a highly desired chemical precursor for the production of nylon (billions of
kilograms of cyclohexanol are produced annually!). Industrially, cyclohexanol can be formed by
the oxidation of cyclohexane over cobalt catalysts.
You have a vapor mixture of 50 mol.% cyclohexane and 50 mol.% cyclohexanol. You want to
cool and condense your vapor mixture to form a vapor product and a liquid product.
a. This problem contains a vapor-liquid system. Using the Gibbs phase rule, determine the
number of degrees of freedom in a vapor-liquid equilibrium.
b. Your vapor mixture fills a drum that is 300 L in volume. At atmospheric pressure and at
200°C, how many moles of vapor do you have?
c. You decide to feed your vapor mixture to the condenser at 5 mol/s. You measure your
vapor product and see that it comes out at 760 mmHg and 75 mol.% cyclohexane. Using
Raoult’s law and Antoine’s Equation, determine your outlet temperature.
d. Using the information given in the problem statement and Part C, determine the
composition of your liquid phase and the molar flow rates of both your liquid and vapor
products.

Solutions

Expert Solution

TEMP X1 X2 P1 P2 P1* P2* P=P1*+P2* Y1 Y2 Y1+Y2
160.974 0.000 1.000 5152.186 759.999 0.000 759.999 759.999 0.000 1.000 1.000
151.895 0.050 0.950 4324.647 572.386 216.232 543.767 760.000 0.285 0.715 1.000
143.655 0.100 0.900 3661.736 437.586 366.174 393.827 760.001 0.482 0.518 1.000
136.287 0.150 0.850 3135.145 340.857 470.272 289.728 760.000 0.619 0.381 1.000
129.745 0.200 0.800 2716.602 270.849 543.320 216.679 760.000 0.715 0.285 1.000
123.944 0.250 0.750 2381.709 219.430 595.427 164.573 760.000 0.783 0.217 1.000
118.790 0.300 0.700 2111.024 180.990 633.307 126.693 760.000 0.833 0.167 1.000
114.191 0.350 0.650 1889.674 151.714 661.386 98.614 760.000 0.870 0.130 1.000
110.065 0.400 0.600 1706.483 129.012 682.593 77.407 760.000 0.898 0.102 1.000
106.343 0.450 0.550 1553.096 111.103 698.893 61.107 760.000 0.920 0.080 1.000
102.966 0.500 0.500 1423.249 96.753 711.624 48.377 760.001 0.936 0.064 1.000
99.886 0.550 0.450 1312.201 85.088 721.711 38.290 760.001 0.950 0.050 1.000
97.061 0.600 0.400 1216.345 75.483 729.807 30.193 760.000 0.960 0.040 1.000
94.459 0.650 0.350 1132.896 67.480 736.382 23.618 760.000 0.969 0.031 1.000
92.052 0.700 0.300 1059.681 60.741 741.777 18.222 759.999 0.976 0.024 1.000
89.816 0.750 0.250 994.996 55.011 746.247 13.753 760.000 0.982 0.018 1.000
87.730 0.800 0.200 937.476 50.098 749.980 10.020 760.000 0.987 0.013 1.000
85.779 0.850 0.150 886.026 45.851 753.122 6.878 760.000 0.991 0.009 1.000
83.947 0.900 0.100 839.761 42.153 755.785 4.215 760.000 0.994 0.006 1.000
82.224 0.950 0.050 797.952 38.913 758.054 1.946 760.000 0.997 0.003 1.000
80.597 1.000 0.000 760.000 36.056 760.000 0.000 760.000 1.000 0.000 1.000
X1 Y1
0 0
0.05 0.284516
0.1 0.481807
0.15 0.618779
0.2 0.714895
0.25 0.783457
0.3 0.833299
0.35 0.870244
0.4 0.898149
0.45 0.919596
0.5 0.936347
0.55 0.949619
0.6 0.960272
0.65 0.968924
0.7 0.976023
0.75 0.981904
0.8 0.986816
0.85 0.99095
0.9 0.994454
0.95 0.99744
1 1


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