Mastering ChE 2011 Process Analysis: Extra Credit for Problem #3.2 Explained

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The discussion revolves around a student seeking help with problem #3.2 from their ChE 2011 Process Analysis class, specifically regarding the calculation of vapor and liquid fractions and their compositions. The problem involves a feed stream of 22 mole% methanol and 78 mole% water at equilibrium conditions of 75°C and 760 mm Hg, with a flow rate of 100 lb-mole/hr. The student expresses frustration with their professor's teaching and the course material from "Material Balances For Chemical Engineers" by Ramon L. Cerro. A clarification was made that the term "effort" in the problem should have been "error," indicating a possible misunderstanding of the problem's requirements. The student is looking for guidance to improve their understanding and performance in the class.
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Hello, this is my first post in these forums, hopefully it proves to be helpful. I recently just took my 4th exam in my ChE 2011 Process Analysis class. I didn't do good on it at all. The good news is, the professor is giving us a chance to get some extra credit.

For Extra Credit:
Consider problem No. 3.2. There is an effort in this problem. What is it? How can you find the correct solution?

#3.2
Find the fraction vapor and *liquid and the composition of each stream.
* Here I assume he means the vapor and liquid composition, the way I typed it is how it appeared on the test.

Info for the problem:
A feed stream containing 22 mole% methanol and 78 mole % water is brought to equilibrium at 75 deg C and 760 mm Hg. The feed flowrate is 100lb-mole/hr.
Km=1.49=Xm/Ym, Kw=.38=Xw/Yw

This is about all that is given, the only other thing is a diagram with a system containing a feed stream and then an exit liquid and exit vapor stream.

I have struggled with this class all semester and still have yet to understand it. My professor isn't that great of a teacher. The book we are learning out of is Material Balances For Chemical Engineers by Ramon L. Cerro if that helps, this is Chapter 5 material.

Any help or input anyone can offer is more than I can say my professor has given and would be appreciated more than you can imagine.

Thanks
 
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There is a correction apparently which helps a little...Instead of effort, he meant to type error. Maybe this will give someone and idea. I'm at a loss.
 

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