A spherical solid naphthalene of radius R1 is suspended in still air at which naphthalene sublimes (evaporates) slowly. Assuming that naphthalene is surrounded by a hypothetical spherical stagnant gas film of radius R2, a) Prove that the steady state rate at which naphthalene sublimes (evaporates), WA, is as given below: 1-XA2 AB In WA 1-XA1 b) Calculate the rate at which naphthalene with diameter 20cm sublimes (evaporates) given that the surrounding air is at 250 K and 1 atm. The vapour pressure of naphthalene at the interface is 16 Pa and the diffusion coefficient of naphthalene in air is 6.9 x 10-6 m2s1. Universal gas constant, R = 8.3143 Jmol-K-1. State the required assumption of the naphthalene's radius.

Introduction to Chemical Engineering Thermodynamics
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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5) A spherical solid naphthalene of radius R1 is suspended in still air at which
naphthalene sublimes (evaporates) slowly. Assuming that naphthalene is
surrounded by a hypothetical spherical stagnant gas film of radius R2,
a) Prove that the steady state rate at which naphthalene sublimes (evaporates),
WA, is as given below:
4ncD AB
WA
1-XA2
-In
1-XA1
R,
R2
b) Calculate the rate at which naphthalene with diameter 20cm sublimes
(evaporates) given that the surrounding air is at 250 K and 1 atm. The vapour
pressure of naphthalene at the interface is 16 Pa and the diffusion coefficient
of naphthalene in air is 6.9 x 10-6 m?s-1. Universal gas constant, R = 8.3143
Jmol-K1. State the required assumption of the naphthalene's radius.
Transcribed Image Text:5) A spherical solid naphthalene of radius R1 is suspended in still air at which naphthalene sublimes (evaporates) slowly. Assuming that naphthalene is surrounded by a hypothetical spherical stagnant gas film of radius R2, a) Prove that the steady state rate at which naphthalene sublimes (evaporates), WA, is as given below: 4ncD AB WA 1-XA2 -In 1-XA1 R, R2 b) Calculate the rate at which naphthalene with diameter 20cm sublimes (evaporates) given that the surrounding air is at 250 K and 1 atm. The vapour pressure of naphthalene at the interface is 16 Pa and the diffusion coefficient of naphthalene in air is 6.9 x 10-6 m?s-1. Universal gas constant, R = 8.3143 Jmol-K1. State the required assumption of the naphthalene's radius.
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