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A gas stream contains 18.0 mole% hexane and the remainder
Chapter 3, Problem 3.29(choose chapter or problem)
A gas stream contains 18.0 mole% hexane 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.
(a) What is the flow rate of the gas stream leaving the condenser in mol/min? (Hint: First calculate the molar flow rate of the condensate and note that the rates at which \(\mathrm{C}_{6} \mathrm{H}_{14}\) and \(\mathrm{N}_{2}\) enter the unit must equal the total rates at which they leave in the two exit streams.)
(b) What percentage of the hexane entering the condenser is recovered as a liquid?
Questions & Answers
QUESTION:
A gas stream contains 18.0 mole% hexane 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.
(a) What is the flow rate of the gas stream leaving the condenser in mol/min? (Hint: First calculate the molar flow rate of the condensate and note that the rates at which \(\mathrm{C}_{6} \mathrm{H}_{14}\) and \(\mathrm{N}_{2}\) enter the unit must equal the total rates at which they leave in the two exit streams.)
(b) What percentage of the hexane entering the condenser is recovered as a liquid?
ANSWER:Step 1 of 2
a)
The inlet and outlet conditions of a condenser as follows.
From the given,
The density of hexane = 0.659kg/L
Let’s calculate the flow rate of the condensate 
Let’s write the equations for hexane and nitrogen balance.
Hexane balance:
Nitrogen balance:
Therefore, The gas stream exits the condenser at a rate of 72.3 (mol/min).
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