3. We would like to calculate the steady-state rate of transport of water vapor through a...
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3. We would like to calculate the steady-state rate of transport of water vapor through a plywood wall that separates inside and outside environments (see figure). The inside air has a relative humidity of 30%, it is at 20 C, and it can be considered well mixed. The outside air is at a uniform temperature of 1 C and it is saturated with water vapor. Convective mass transfer from the outside wall is characterized by a mass transfer coefficient ke 3.0 x 10 m/s. Equilibrium partitioning of water vapor (A) between the air and the plywood is represented by the linear relation C =P, at equilibrium where CA is the molar concentration of water vapor in the plywood, PA is the partial pressure of water vapor in the air and a is a constant, approximately independent of temperature. The product aDAB, where DAB is the diffusivity of water vapor (A) in plywood (B) is called the permeability. and it is a constant: aDAB = 1.8 x 10 mol/m s Pa. Other relevant information: Vapor pressures of water: At 1 C, Pv = 650 Pa; at 20 C, P=2330 Pa. Recall that relative humidity is defined by (%) = PA100 P Determine the molar flux of water vapor (moles per unit time and per unit wall surface area) transferred between the two environments (inside and outside). In what direction is the water vapor moving through the plywood? Inside Plywood Outside wall T=20C = 30% 8=3 cm T=1C = 100% 3. We would like to calculate the steady-state rate of transport of water vapor through a plywood wall that separates inside and outside environments (see figure). The inside air has a relative humidity of 30%, it is at 20 C, and it can be considered well mixed. The outside air is at a uniform temperature of 1 C and it is saturated with water vapor. Convective mass transfer from the outside wall is characterized by a mass transfer coefficient ke 3.0 x 10 m/s. Equilibrium partitioning of water vapor (A) between the air and the plywood is represented by the linear relation C =P, at equilibrium where CA is the molar concentration of water vapor in the plywood, PA is the partial pressure of water vapor in the air and a is a constant, approximately independent of temperature. The product aDAB, where DAB is the diffusivity of water vapor (A) in plywood (B) is called the permeability. and it is a constant: aDAB = 1.8 x 10 mol/m s Pa. Other relevant information: Vapor pressures of water: At 1 C, Pv = 650 Pa; at 20 C, P=2330 Pa. Recall that relative humidity is defined by (%) = PA100 P Determine the molar flux of water vapor (moles per unit time and per unit wall surface area) transferred between the two environments (inside and outside). In what direction is the water vapor moving through the plywood? Inside Plywood Outside wall T=20C = 30% 8=3 cm T=1C = 100%
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Related Book For
Probability and Statistical Inference
ISBN: 978-0321923271
9th edition
Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
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