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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.

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

0.05

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

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