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The diffusion of water vapor through plaster boards and its condensation in the wall insulation in cold weather are of concern since they reduce the effectiveness of insulation. Consider a house that is maintained al 20C and 60 percent relative humidity at a location where the atmospheric pressure is 97kPa. The inside of the walls is finished with 9.5-mm-thick gypsum wallboard. The permeance of the 9.5mm-thick gypsum wallboard to water vapor is 2.86109 kg/sm2Pa. (a) Sketch of the problem (b) Taking the vapor pressure at the outer side of the wallboard to be zero, determine the maximum amount of water vapor that will diffuse through a 3m8m section of a wall during a 24-h period. (c) In order to reduce the migration of water vapor through the wall, it is proposed to use a 0.051-mm-thick polyethylene film with a permeance of 9.11012kg/sm2Pa. Determine the amount of water vapor that will diffuse through the wall in this case during a 24-h period