You have a 2 mm thick layer of water on the floor of a room. The water vaporizes and diffuses through a stagnant film of air, estimated to be 2.5 mm thick, on the surface of the water. Under the evaporation condition, consider as an approximation that the temperature of the water is essentially equal to its dry bulb temperature, 28 ° C. Calculate the time required for the water layer to completely disappear, for the case the floor is porous and the water also penetrates the floor at a constant rate of 0.1kg / (m2.h). Calculate the vapor pressure of water using the Antoine equation below. The diffusivity of water vapor in air is 0.2201 cm2 / s at 1 atm and 0 ° C. The vapor pressure, P ° (in bar), of the water is given by: ln (P °) = 13.8573 - 5160.2 / T, where T is the temperature in K.

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Chapter6: Forced Convection Over Exterior Surfaces
Section: Chapter Questions
Problem 6.22P
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You have a 2 mm thick layer of water on the floor of a room. The water vaporizes and diffuses through a stagnant film of air, estimated to be 2.5 mm thick, on the surface of the water. Under the evaporation condition, consider as an approximation that the temperature of the water is essentially equal to its dry bulb temperature, 28 ° C. Calculate the time required for the water layer to completely disappear, for the
case the floor is porous and the water also penetrates the floor at a constant rate of 0.1kg / (m2.h).
Calculate the vapor pressure of water using the Antoine equation below. The diffusivity of water vapor in air is 0.2201 cm2 / s at 1 atm and 0 ° C. The vapor pressure, P ° (in bar), of the water is given by: ln (P °) = 13.8573 - 5160.2 / T, where T is the temperature in K.

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