Help Finding molar flow rate of product out of a condenser

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SUMMARY

The discussion focuses on calculating the molar flow rate of a gas stream containing 18.0 mole% hexane (C6H14) exiting a condenser, where the hexane mole fraction in the gas stream is 0.0500. The liquid hexane condensate is recovered at a rate of 1.50 L/min. To solve for the gas stream's flow rate in mol/min, one must apply mass balance principles and make assumptions regarding either constant total flow rate or constant total pressure. The solution involves establishing a ratio of flow rates and utilizing mass balance equations.

PREREQUISITES
  • Understanding of mole fractions and their calculations
  • Familiarity with mass balance equations in chemical engineering
  • Knowledge of gas-liquid phase behavior
  • Basic skills in unit conversion, particularly between liters and moles
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  • Study the principles of mass balance in chemical processes
  • Learn about phase equilibrium and vapor-liquid separation techniques
  • Explore the calculation of molar flow rates in gas streams
  • Review the impact of temperature and pressure on gas behavior
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Chemical engineers, process engineers, and students studying thermodynamics or chemical process design will benefit from this discussion, particularly those involved in gas processing and separation techniques.

ChemE_undergrad
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Ok. I have attempted this problem several times and went about it a couple of different ways and still cannot get a viable answer!

the problem is:

A gas stream contains 18.0 mole% hexane (C6H14) and the remainder nitrogen. The stream flows to a condenser, where its temperature is reduced and some of the hexane is liquefied. The hexane mole fraction in the gas stream leaving the condenser is 0.0500. Liquid hexane condensate is recovered at a rate of 1.50 L/min.

see attached *.doc file for a diagram relating to the problem!
 

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oh, sorry. The question is: What is the flow rate of the gas stream leaving the condenser in mol/min?

Note: I have always begun by finding the molar flow rate of the condensate.
 
You'll have to make at least one assumption along the way: either you work with constant total flow rate, or with constant total pressure (or something else). With the first assumption, you can write down the ratio of flow rate out to flow rate in from the given data. The second equation is just a mass balance relation. The two equations can be solved for the two unknowns.
 
awesome! thanks, a lot.
 

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