A solid naphthalene sphere is placed in a flow of air at 135°C at a pressure of 1.013 × 105 Pa. The sphere will slowly sublime into the air stream by diffusion alone. The rate of sublimation per unit area Nar (flux) is: DAB P АВ 1 In RTr Ar 1-(), Using the above in combination with a mass balance on the system, determine the time taken to reduce the sphere from a diameter of 35 mm to 15 mm. DATA: MA = 128 kg kmol-1, relative molecular mass of naphthalene = 1162 kg m3 , density of solid naphthalene DaB = 8.6 × 10-6 m² s-1, diffusivity of naphthalene in air Pa1 = 9537 Pa, saturation vapour pressure of naphthalene at 135°C R %3D %3D %3D = 8.314 m3 Pa mol-1 K-1, gas constant %3D

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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A solid naphthalene sphere is placed in a flow of air at 135°C at a pressure
of 1.013 x 105 Pa. The sphere will slowly sublime into the air stream by
diffusion alone. The rate of sublimation per unit area Nar (flux) is:
1
DABP
In
RTr
Nar
Using the above in combination with a mass balance on the system,
determine the time taken to reduce the sphere from a diameter of 35 mm to
15 mm.
DATA:
MA
128 kg kmol-1, relative molecular mass of naphthalene
%3D
= 1162 kg m-3, density of solid naphthalene
DAB = 8.6 × 106 m² s-1, diffusivity of naphthalene in air
PA1
= 9537 Pa, saturation vapour pressure of naphthalene at 135°C
%D
R
= 8.314 m3 Pa mol-1 K-1, gas constant
%3D
Transcribed Image Text:A solid naphthalene sphere is placed in a flow of air at 135°C at a pressure of 1.013 x 105 Pa. The sphere will slowly sublime into the air stream by diffusion alone. The rate of sublimation per unit area Nar (flux) is: 1 DABP In RTr Nar Using the above in combination with a mass balance on the system, determine the time taken to reduce the sphere from a diameter of 35 mm to 15 mm. DATA: MA 128 kg kmol-1, relative molecular mass of naphthalene %3D = 1162 kg m-3, density of solid naphthalene DAB = 8.6 × 106 m² s-1, diffusivity of naphthalene in air PA1 = 9537 Pa, saturation vapour pressure of naphthalene at 135°C %D R = 8.314 m3 Pa mol-1 K-1, gas constant %3D
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