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Consider the device shown below that will be used to humidity an air stream. In the current process, air containing 1 mol % water vapor (species A) at 40°C and 1 atm enters the tube of 3 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 air passes over it. There is no diffusion resistance of water vapor 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 1.91x104 g/cm s and the density of air is 1.13x10-3 g/cm³. ● What is the Schmidt number for this process? Develop a model, in final integrated form, to predict the concentration of water vapor exiting the tube. The thickness of the adsorbent material lining the inner surface of the tube is 1 mm and it initially contains 0.6 g of water per cm³. If the tube is 8 m long and the humidification 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 concentration of water vapor and then perform an overall material balance to estimate the net overall rate of water vapor transferred. Gas stream v=300 cm/sec CA1 Water adsorbent liner (1.0 mm thick, 0.6 g H₂O/cm³ liner initially) D= 3.0 cm (tube) 1.0 atm, 40°C L = 8.0 m CA2

Consider the device shown below that will be used to humidity an air stream. In the current process, air containing 1 mol % water vapor (species A) at 40°C and 1 atm enters the tube of 3 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 air passes over it. There is no diffusion resistance of water vapor 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 1.91x104 g/cm s and the density of air is 1.13x10-3 g/cm³. ● What is the Schmidt number for this process? Develop a model, in final integrated form, to predict the concentration of water vapor exiting the tube. The thickness of the adsorbent material lining the inner surface of the tube is 1 mm and it initially contains 0.6 g of water per cm³. If the tube is 8 m long and the humidification 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 concentration of water vapor and then perform an overall material balance to estimate the net overall rate of water vapor transferred. Gas stream v=300 cm/sec CA1 Water adsorbent liner (1.0 mm thick, 0.6 g H₂O/cm³ liner initially) D= 3.0 cm (tube) 1.0 atm, 40°C L = 8.0 m CA2

Introduction to Chemical Engineering Thermodynamics
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
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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hown below that will be used to humidity an air stream. In the current process, air containing and 1 atm enters the tube of 3 cm inner diameter at a velocity of 300 ines the inner surface of the tube. Water evaporates water vapor through the liner +000 Fatty deposits in blood vessels pose a health risk. Chemical agents added to the blood can increase the solubility of the fatty deposits in blood, thereby providing a means to dissolve the fatty deposits in situ. To explore the mass-transfer characteristics of this phenomenon, a biological engineer set up the experiment shown figure. The inner walls of a smooth, 0.8 cm inner diameter tube are uniformly coated with a thin layer, 0.01 cm of lipophilic material called fatty compound A (FA for short). The length of the tubing containing the FA layer is 50 cm. A synthetic solution is pumped through the tube at a volumetric flow rate of 35.0cm³/s. The maximum solubility of FA in this synthetic solution is 20 mg FA/cm3 solution. At the conditions of the experiment, the kinematic viscosity of the synthetic solution is 0.02 cm³/s, and the density of the synthetic solution is 1.04 g/cm³. The density of the solid FA is I. 10 g/cm³. ● Develop a material balance to predict the concentration of FA in the solution exiting the tube. Experiments were conducted with the test unit shown above, with a measured dissolved concentration of FA in the synthetic solution exiting the tube of 0.1 mg FA/cm³. This concentration was constant over time. From this data, using your model, back out the molecular diffusion coefficient of FA in the solution. 35 cm³/s solution (no FA) 70 cm 0.8 cm 50 cm CAL = 0.1 mg FA/cm³ 0.01 cm thick coating of solid FA
Transcribed Image Text:hown below that will be used to humidity an air stream. In the current process, air containing and 1 atm enters the tube of 3 cm inner diameter at a velocity of 300 ines the inner surface of the tube. Water evaporates water vapor through the liner +000 Fatty deposits in blood vessels pose a health risk. Chemical agents added to the blood can increase the solubility of the fatty deposits in blood, thereby providing a means to dissolve the fatty deposits in situ. To explore the mass-transfer characteristics of this phenomenon, a biological engineer set up the experiment shown figure. The inner walls of a smooth, 0.8 cm inner diameter tube are uniformly coated with a thin layer, 0.01 cm of lipophilic material called fatty compound A (FA for short). The length of the tubing containing the FA layer is 50 cm. A synthetic solution is pumped through the tube at a volumetric flow rate of 35.0cm³/s. The maximum solubility of FA in this synthetic solution is 20 mg FA/cm3 solution. At the conditions of the experiment, the kinematic viscosity of the synthetic solution is 0.02 cm³/s, and the density of the synthetic solution is 1.04 g/cm³. The density of the solid FA is I. 10 g/cm³. ● Develop a material balance to predict the concentration of FA in the solution exiting the tube. Experiments were conducted with the test unit shown above, with a measured dissolved concentration of FA in the synthetic solution exiting the tube of 0.1 mg FA/cm³. This concentration was constant over time. From this data, using your model, back out the molecular diffusion coefficient of FA in the solution. 35 cm³/s solution (no FA) 70 cm 0.8 cm 50 cm CAL = 0.1 mg FA/cm³ 0.01 cm thick coating of solid FA
ORGANICO Consider the device shown below that will be used to humidity an air stream. In the current process, air containing 1 mol% water vapor (species A) at 40°C and 1 atm enters the tube of 3 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 evaporate from this liner material as air passes over it. There is no diffusion resistance of water vapor 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 1.91x10-4 g/cm s and the density of air is 1.13x10-³ g/cm³. ● What is the Schmidt number for this process? Develop a model, in final integrated form, to predict the concentration of water vapor exiting the tube. The thickness of the adsorbent material lining the inner surface of the tube is 1 mm and it initially contains 0.6 g of water per cm³. If the tube is 8 m long and the humidification 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 concentration of water vapor and then perform an overall material balance to estimate the net overall rate of water vapor transferred. Gas stream v=300 cm/sec CA1 Water adsorbent liner (1.0 mm thick, 0.6 g H₂O/cm³ liner initially) D = 3.0 cm (tube) 1.0 atm, 40°C L = 8.0 m CA2
Transcribed Image Text:ORGANICO Consider the device shown below that will be used to humidity an air stream. In the current process, air containing 1 mol% water vapor (species A) at 40°C and 1 atm enters the tube of 3 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 evaporate from this liner material as air passes over it. There is no diffusion resistance of water vapor 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 1.91x10-4 g/cm s and the density of air is 1.13x10-³ g/cm³. ● What is the Schmidt number for this process? Develop a model, in final integrated form, to predict the concentration of water vapor exiting the tube. The thickness of the adsorbent material lining the inner surface of the tube is 1 mm and it initially contains 0.6 g of water per cm³. If the tube is 8 m long and the humidification 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 concentration of water vapor and then perform an overall material balance to estimate the net overall rate of water vapor transferred. Gas stream v=300 cm/sec CA1 Water adsorbent liner (1.0 mm thick, 0.6 g H₂O/cm³ liner initially) D = 3.0 cm (tube) 1.0 atm, 40°C L = 8.0 m CA2
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