Question: A very thin polymeric coating uniformly coats a rectangular plate. The rectangular plate has a length of 20cm and a width of w. The coating
A very thin polymeric coating uniformly coats a rectangular plate. The rectangular plate has a length of 20cm and a width of w. The coating contains a solvent that must be evaporated away from the coating. Initially, there is 0.002 mole of solvent in the coating. A heating element just beneath the plate maintains the coating at a uniform temperature of 30C, and the vapor pressure exerted by the solvent is 0.05atm at 30C. Air gently flows parallel to the plate (along the length) at a velocity of 5.0cm/s. The surrounding air, at 1.0atm total system pressure and 30C, represents an "infinite sink" for mass transfer of the solvent. The kinematic viscosity of air at these conditions is 0.158cm2/s. The diffusion coefficient of the solvent in air (DAB) at 1atm and 30C is 1.025cm2/s. It took 10min to totally evaporate the solvent from the coating. You may neglect AB any molecular diffusion of the solvent through the very thin polymeric film coating. T=30+273= What is the width (w) of the plate? A very thin polymeric coating uniformly coats a rectangular plate. The rectangular plate has a length of 20cm and a width of w. The coating contains a solvent that must be evaporated away from the coating. Initially, there is 0.002 mole of solvent in the coating. A heating element just beneath the plate maintains the coating at a uniform temperature of 30C, and the vapor pressure exerted by the solvent is 0.05atm at 30C. Air gently flows parallel to the plate (along the length) at a velocity of 5.0cm/s. The surrounding air, at 1.0atm total system pressure and 30C, represents an "infinite sink" for mass transfer of the solvent. The kinematic viscosity of air at these conditions is 0.158cm2/s. The diffusion coefficient of the solvent in air (DAB) at 1atm and 30C is 1.025cm2/s. It took 10min to totally evaporate the solvent from the coating. You may neglect AB any molecular diffusion of the solvent through the very thin polymeric film coating. T=30+273= What is the width (w) of the plate
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