Consider a hemispherical droplet of liquid water residing on a flat surface, as shown in the figure. Still air surrounds the droplet. At an infinitely long distance from the gas film, the concentration of water vapor in the air is effectively zero (dry air). At a constant temperature of 40 °C and 1.0 atm total pressure, the evaporation rate of the droplet is controlled by the rate of molecular diffusion through the still air. The vapor pressure of water at 40 °C is 0.073 atm, and the molecular diffusion coefficient of H2O vapor in air at 1.0 atm and 40 °C is 0.324 cm2/s. Determine the time it will take for the water droplet to completely evaporate at 40 °C and 1.0 atm total system pressure if the initial droplet radius is 10.0 mm

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
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Consider a hemispherical droplet of liquid water residing on a flat surface, as shown in the figure. Still air surrounds the droplet. At an infinitely long distance from the gas film, the concentration of water vapor in the air is effectively zero (dry air). At a constant temperature of 40 °C and 1.0 atm total pressure, the evaporation rate of the droplet is controlled by the rate of molecular diffusion through the still air. The vapor pressure of water at 40 °C is 0.073 atm, and the molecular diffusion coefficient of H2O vapor in air at 1.0 atm and 40 °C is 0.324 cm2/s. Determine the time it will take for the water droplet to completely evaporate at 40 °C and 1.0 atm total system pressure if the initial droplet radius is 10.0 mm.
a Poplet. At a as anitely long distance from the gas film, the
Consider a hemispherical droplet of liguid water residing on
shown in the figure. Still air surrounds fthe
contentration of water vapõr in the air is effectively zero
(dry air). At a constant temperature of 40 °C and 1.0 atm total
pressure, the evaporation rate of the droplet is controlled by
rate of molecular diffusion through the still air. The
vapor pressure of water at 40 °C is 0.073 atm, and the
molecular diffusion coefficient of H20 vapor in air at 1.0 atm
and 40 °C iş 0.324 cm-/s. Determine the time it will take for
the water droplet to completely evaporate at 40 °C and 1.0
atm total system pressure if the initfal droplet radius is 10.0
mm.
Still air
A = H20
B = air
( = R
Pure
liquid H20
hours 2.34
hours 4.34
hours 6.34
hours 8.34
Transcribed Image Text:a Poplet. At a as anitely long distance from the gas film, the Consider a hemispherical droplet of liguid water residing on shown in the figure. Still air surrounds fthe contentration of water vapõr in the air is effectively zero (dry air). At a constant temperature of 40 °C and 1.0 atm total pressure, the evaporation rate of the droplet is controlled by rate of molecular diffusion through the still air. The vapor pressure of water at 40 °C is 0.073 atm, and the molecular diffusion coefficient of H20 vapor in air at 1.0 atm and 40 °C iş 0.324 cm-/s. Determine the time it will take for the water droplet to completely evaporate at 40 °C and 1.0 atm total system pressure if the initfal droplet radius is 10.0 mm. Still air A = H20 B = air ( = R Pure liquid H20 hours 2.34 hours 4.34 hours 6.34 hours 8.34
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