A very thin polymeric coating of thickness 0.1 mm uniformly coats a rectangular surface. The rectangular surface has a length of 20 cm and a width of 10 cm. The coating contains a solvent that must be evaporated away from the coating in order to cure the coating. Initially, there is 0.001 mol of solvent per cm' of coating loaded in the coating. A heated plate just beneath the surface maintains the coating at a uniform temperature of 40 °C, and the vapor pressure exerted by the solvent is 0.05 atm at 40 °C. Air gently flows parallel to the surface at a velocity of 5.0 cm/s. The surrounding air at 1.0 atm total system pressure and 20 °C represents an “infinite sink" for mass transfer. You may neglect any molecular diffusion of the solvent through the very thin polymeric film and focus only on the convection aspects of the problem. The diffusion coefficient of species in air at 20 °C is 0.1 cm²/s. (i) Determine the Reynolds, Schmidt, and Sherwood numbers associated with this process. (ii) Calculate the film mass transfer coefficient, ky (mole fraction based driving force) associated with this process. (iii) Estimate the time required for the solvent to completely evaporate from the coating.
A very thin polymeric coating of thickness 0.1 mm uniformly coats a rectangular surface. The rectangular surface has a length of 20 cm and a width of 10 cm. The coating contains a solvent that must be evaporated away from the coating in order to cure the coating. Initially, there is 0.001 mol of solvent per cm' of coating loaded in the coating. A heated plate just beneath the surface maintains the coating at a uniform temperature of 40 °C, and the vapor pressure exerted by the solvent is 0.05 atm at 40 °C. Air gently flows parallel to the surface at a velocity of 5.0 cm/s. The surrounding air at 1.0 atm total system pressure and 20 °C represents an “infinite sink" for mass transfer. You may neglect any molecular diffusion of the solvent through the very thin polymeric film and focus only on the convection aspects of the problem. The diffusion coefficient of species in air at 20 °C is 0.1 cm²/s. (i) Determine the Reynolds, Schmidt, and Sherwood numbers associated with this process. (ii) Calculate the film mass transfer coefficient, ky (mole fraction based driving force) associated with this process. (iii) Estimate the time required for the solvent to completely evaporate from the coating.
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
Problem 1.1P
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Transcribed Image Text:A very thin polymeric coating of thickness 0.1 mm uniformly coats a
rectangular surface. The rectangular surface has a length of 20 cm and a width
of 10 cm. The coating contains a solvent that must be evaporated away from the
coating in order to cure the coating. Initially, there is 0.001 mol of solvent per
cm³ of coating loaded in the coating. A heated plate just beneath the surface
maintains the coating at a uniform temperature of 40 °C, and the vapor pressure
exerted by the solvent is 0.05 atm at 40 °C. Air gently flows parallel to the
surface at a velocity of 5.0 cm/s. The surrounding air at 1.0 atm total system
pressure and 20 °C represents an "infinite sink" for mass transfer. You may
neglect any molecular diffusion of the solvent through the very thin polymeric
film and focus only on the convection aspects of the problem. The diffusion
coefficient of species in air at 20 °C is 0.1 cm³/s.
(i)
Determine the Reynolds, Schmidt, and Sherwood numbers associated
with this process.
(ii)
Calculate the film mass transfer coefficient, ky (mole fraction based
driving force) associated with this process.
(iii) Estimate the time required for the solvent to completely evaporate
from the coating.
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