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.* Answer c and d please.

Question
Asked Feb 26, 2019
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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.

* Answer c and d please.

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Expert Answer

Step 1

Part (a):

Since all the derivatives are zero and y=u=0 at the nominal steady state, Hence taking laplace transform of given equation

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Step 2

It is also given as u(t) suddenly changes from 0-1 m3/s at t=0

Hence U(s)=1/s, Taking inverse transform to find liquid level response

 

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Step 3

The liquid level response has been obt...

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