Mass transfer is occurring from a sphere of naphthalene (Component A) having a radius of 1 cm. The sphere is in a large volume of still air (Component B) at 52.6 °C and 1 atm pressure. The vapor pressure (PA) of naphthalene at 52.6 °C is 10 mmHg. The diffusivity of naphthalene in air at this temperature is 7.02x10-6 m²/s. By using shell-balance method, find the concentration profile of naphthalene and calculate the rate of evaporation of naphthalene from the surface in kmol/m².s. (Ideal gas constant is R = 82.06 cm³atm/mol.K, x₁ = P/P, C=P/RT)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter16: Temperature And The Kinetic Theory Of Gases
Section: Chapter Questions
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Mass transfer is occurring from a sphere of naphthalene (Component A) having a
radius of 1 cm. The sphere is in a large volume of still air (Component B) at 52.6 °C
and 1 atm pressure. The vapor pressure (PA) of naphthalene at 52.6 °C is 10 mmHg.
The diffusivity of naphthalene in air at this temperature is 7.02x10-6 m²/s. By using
shell-balance method, find the concentration profile of naphthalene and calculate the
rate of evaporation of naphthalene from the surface in kmol/m².s.
(Ideal gas constant is R = 82.06 cm³atm/mol.K, x₁ = P/P, C=P/RT)
Transcribed Image Text:Mass transfer is occurring from a sphere of naphthalene (Component A) having a radius of 1 cm. The sphere is in a large volume of still air (Component B) at 52.6 °C and 1 atm pressure. The vapor pressure (PA) of naphthalene at 52.6 °C is 10 mmHg. The diffusivity of naphthalene in air at this temperature is 7.02x10-6 m²/s. By using shell-balance method, find the concentration profile of naphthalene and calculate the rate of evaporation of naphthalene from the surface in kmol/m².s. (Ideal gas constant is R = 82.06 cm³atm/mol.K, x₁ = P/P, C=P/RT)
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