A stream of humid air enters a condenser in which 95% of the water vapor in the air is condensed. The flow rate of the condensate (the liquid leaving the condenser) is measured and found to be 225 L/h. Dry air may be taken to contain 21 mole% oxygen, with the balance nitrogen. Calculate the flow rate of the gas stream leaving the condenser and the mole fractions of oxygen, nitrogen, and water in this stream. Basis: 225 L/h condensate

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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EX:
A stream of humid air enters a condenser in which 95% of the water vapor in the air is condensed.
The flow rate of the condensate (the liquid leaving the condenser) is measured and found to be
225 L/h. Dry air may be taken to contain 21 mole% oxygen, with the balance nitrogen. Calculate
the flow rate of the gas stream leaving the condenser and the mole fractions of oxygen, nitrogen,
and water in this stream.
Basis: 225 L/h condensate
First, we do the degree of freedom analysis
(i,(mol dry air/h)
0.21 mol Oz/mol
0.79 moi Na/mol
iz(mol H20/h)
nglmol Oz/h)
ng(mol Na/h)
iglmol H20 (v)/h)
Unknowns: n,,ń2, ń3, ň4,Ñ5, ń6
Balances: 3 component balances; N2, 02, H20
225 liters H,0 (I/h
DOF = 6-3 = 3 we need 3 additional info !!!
ig(mol H20 (1)/h)
(95% of water in feed)
1) Relationship between the volumetric and molar flow rates of the condensate: we can determine n,
from the given volumetric flow rate and the known specific gravity and molecular weight of water.
2) 95 % of the water is condensed: n3=0.95 n2
Since there are no other information given in the problem statement, DOF = 1. We can not solve the
problem !!!
Transcribed Image Text:EX: A stream of humid air enters a condenser in which 95% of the water vapor in the air is condensed. The flow rate of the condensate (the liquid leaving the condenser) is measured and found to be 225 L/h. Dry air may be taken to contain 21 mole% oxygen, with the balance nitrogen. Calculate the flow rate of the gas stream leaving the condenser and the mole fractions of oxygen, nitrogen, and water in this stream. Basis: 225 L/h condensate First, we do the degree of freedom analysis (i,(mol dry air/h) 0.21 mol Oz/mol 0.79 moi Na/mol iz(mol H20/h) nglmol Oz/h) ng(mol Na/h) iglmol H20 (v)/h) Unknowns: n,,ń2, ń3, ň4,Ñ5, ń6 Balances: 3 component balances; N2, 02, H20 225 liters H,0 (I/h DOF = 6-3 = 3 we need 3 additional info !!! ig(mol H20 (1)/h) (95% of water in feed) 1) Relationship between the volumetric and molar flow rates of the condensate: we can determine n, from the given volumetric flow rate and the known specific gravity and molecular weight of water. 2) 95 % of the water is condensed: n3=0.95 n2 Since there are no other information given in the problem statement, DOF = 1. We can not solve the problem !!!
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