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 30 °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 A= H,0 30 °C is 0.042 atm, and the molecular diffusion coefficient of H,0 vapor in air at 1.0 atm and 30 °c is 0.266 cm?/s. a. What is the total evaporation transfer rate (WA) of water from a water droplet of radius 5.0 mm in units of mmole H,0 per hour? b. Determine the time it will take for the water droplet to completely evaporate at 30 C and 1.0 atm total system pressure if the initial droplet radius is 5.0 mm. Still air B= air Pure liquid H,0

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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Question 2
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 30 °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 A= H,0
30 °Cis 0.042 atm, and the molecular diffusion
coefficient of H,0 vapor in air at 1.0 atm and 30 °C
is 0.266 cm?/s.
a. What is the total evaporation transfer rate
(WA) of water from a water droplet of radius
5.0 mm in units of mmole H,0 per hour?
b. Determine the time it will take for the water
droplet to completely evaporate at 30 C and
1.0 atm total system pressure if the initial
droplet radius is 5.0 mm.
Still air
B= air
Pure
liquid H,0
Transcribed Image Text:Question 2 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 30 °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 A= H,0 30 °Cis 0.042 atm, and the molecular diffusion coefficient of H,0 vapor in air at 1.0 atm and 30 °C is 0.266 cm?/s. a. What is the total evaporation transfer rate (WA) of water from a water droplet of radius 5.0 mm in units of mmole H,0 per hour? b. Determine the time it will take for the water droplet to completely evaporate at 30 C and 1.0 atm total system pressure if the initial droplet radius is 5.0 mm. Still air B= air Pure liquid H,0
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