30.19 Consider the device shown below that will be used to humidity an air stream. In the current process, air containing 1.0 mol% water vapor (species A) at 40°C and 1.0 atm enters the tube of 3.0 cm inner diameter at a velocity of 300 cm/s. A water- adsorbent material saturated with liquid water lines the inner surface of the tube. Water evaporates from this liner material as over it. There is no diffusion resistance of water vapor air passes Water adsorbent liner (1.0 mm thick, 0.6 g H,O/cm³ liner initially) Gas stream V =300 cm/sec D = 3.0 cm (tube) 1.0 atm, 40°C CA2 L = 8.0 m %3D through the liner material itself. The process is maintained at 40°C. The saturation vapor pressure of water is 55.4 mmHg at 40°C, At this temperature and 1.0 atm, the viscosity of air is 1.91 x 10¬4 g/cm · s and the density of air is 1.13x 10-3 g/cm³. a. What is the Schmidt number for this process? b. Develop a model, in final integrated form, to predict the concentration of water vapor exiting the tube. c. The thickness of the adsorbent material lining the inner surface of the tube is 1.0 mm and it initially contains 0.6 g of cm³. If the tube is 8.0 m long and the humidifica- tion occurs at 40°C and 1.0 atm system pressure, determine how long this process can operate before the liquid water is depleted. You will need to determine the outlet concentra- tion of water vapor and then perform an overall material water per

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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30.19 Consider the device shown below that will be used to
humidity an air stream. In the current process, air containing 1.0
mol% water vapor (species A) at 40°C and 1.0 atm enters the tube
of 3.0 cm inner diameter at a velocity of 300 cm/s. A water-
adsorbent material saturated with liquid water lines the inner
surface of the tube. Water evaporates from this liner material as
over it. There is no diffusion resistance of water vapor
air
passes
Water adsorbent liner
(1.0 mm thick, 0.6 g H,O/cm³ liner initially)
Gas stream
V =300 cm/sec
D = 3.0 cm (tube) 1.0 atm, 40°C
CA2
L = 8.0 m
%3D
through the liner material itself. The process is maintained at
40°C. The saturation vapor pressure of water is 55.4 mmHg
at 40°C, At this temperature and 1.0 atm, the viscosity of
air is 1.91 x 10¬4 g/cm · s and the density of air is 1.13x
10-3 g/cm³.
a. What is the Schmidt number for this process?
b. Develop a model, in final integrated form, to predict the
concentration of water vapor exiting the tube.
c. The thickness of the adsorbent material lining the inner
surface of the tube is 1.0 mm and it initially contains 0.6 g of
cm³. If the tube is 8.0 m long and the humidifica-
tion occurs at 40°C and 1.0 atm system pressure, determine
how long this process can operate before the liquid water is
depleted. You will need to determine the outlet concentra-
tion of water vapor and then perform an overall material
water
per
Transcribed Image Text:30.19 Consider the device shown below that will be used to humidity an air stream. In the current process, air containing 1.0 mol% water vapor (species A) at 40°C and 1.0 atm enters the tube of 3.0 cm inner diameter at a velocity of 300 cm/s. A water- adsorbent material saturated with liquid water lines the inner surface of the tube. Water evaporates from this liner material as over it. There is no diffusion resistance of water vapor air passes Water adsorbent liner (1.0 mm thick, 0.6 g H,O/cm³ liner initially) Gas stream V =300 cm/sec D = 3.0 cm (tube) 1.0 atm, 40°C CA2 L = 8.0 m %3D through the liner material itself. The process is maintained at 40°C. The saturation vapor pressure of water is 55.4 mmHg at 40°C, At this temperature and 1.0 atm, the viscosity of air is 1.91 x 10¬4 g/cm · s and the density of air is 1.13x 10-3 g/cm³. a. What is the Schmidt number for this process? b. Develop a model, in final integrated form, to predict the concentration of water vapor exiting the tube. c. The thickness of the adsorbent material lining the inner surface of the tube is 1.0 mm and it initially contains 0.6 g of cm³. If the tube is 8.0 m long and the humidifica- tion occurs at 40°C and 1.0 atm system pressure, determine how long this process can operate before the liquid water is depleted. You will need to determine the outlet concentra- tion of water vapor and then perform an overall material water per
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