27.11 A common procedure for increasing the moisture con- tent of air is to bubble it through a column of water. The air bubbles are assumed to be spheres, each having a radius of 1.0 mm, and are in thermal equilibrium with water at 298 K. Determine how long the bubble should remain in the water to achieve a vapor concentration at the center that is 90% of the maximum possible (saturation) concentration. Assume that the air is dry when it enters the column of water and that the air inside the small bubble is stagnant. The vapor pressure of water versus temperature is available from many sources, including the steam tables.

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
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Do not solve 27.11, complete these steps for the process:

a) Labeled diagram of the SYSTEM and mass transfer process. Define SOURCE and SINK for mass transfer, and the component undergoing mass transfer
b) State 4 reasonable assumptions. Develop Differential Equation for Mass Transfer in terms of C A (A = water vapor within gas bubble)
c) State reasonable boundary/initial conditions

27.11 A common procedure for increasing the moisture con-
tent of air is to bubble it through a column of water. The air
bubbles are assumed to be spheres, each having a radius of
1.0 mm, and are in thermal equilibrium with water at 298 K.
Determine how long the bubble should remain in the water to
achieve a vapor concentration at the center that is 90% of the
maximum possible (saturation) concentration. Assume that the
air is dry when it enters the column of water and that the air
inside the small bubble is stagnant. The vapor pressure of water
versus temperature is available from many sources, including the
steam tables.
Transcribed Image Text:27.11 A common procedure for increasing the moisture con- tent of air is to bubble it through a column of water. The air bubbles are assumed to be spheres, each having a radius of 1.0 mm, and are in thermal equilibrium with water at 298 K. Determine how long the bubble should remain in the water to achieve a vapor concentration at the center that is 90% of the maximum possible (saturation) concentration. Assume that the air is dry when it enters the column of water and that the air inside the small bubble is stagnant. The vapor pressure of water versus temperature is available from many sources, including the steam tables.
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