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1) A beaker with 10 cm in height is filled with liquid solvent n-hexane up to a level 2 cm below the top (mouth) of the beaker at 25°C and 1 bar. With a fan, dry air at 25°C and 1 bar is blown gently across the mouth of the beaker, so that the hexane vapor transferred through the air and n-hexane gas-vapor mixture by diffusion. Hexane concentration at the mouth of the beaker is negligible. Assume that air does not dissolve in liquid hexane, and the liquid height in the beaker is constant within observation period, hence the system is in steady-state. Molecular diffusivity of n-hexane in air is DAB =2x10 m2/s at 25 °C and 1 bar, and vapor pressure of n-hexane is pa°-152 mmHg at 25 °C. a) Draw a schematic picture of the mass transfer in the beaker. b) Discuss the type of mass transfer in the gas-vapor mixture. c) Using the equation dy N=-CDAB + yA + N dz Derive the molar flux equation for the condition given, showing every step of integration.

1) A beaker with 10 cm in height is filled with liquid solvent n-hexane up to a level 2 cm below the top (mouth) of the beaker at 25°C and 1 bar. With a fan, dry air at 25°C and 1 bar is blown gently across the mouth of the beaker, so that the hexane vapor transferred through the air and n-hexane gas-vapor mixture by diffusion. Hexane concentration at the mouth of the beaker is negligible. Assume that air does not dissolve in liquid hexane, and the liquid height in the beaker is constant within observation period, hence the system is in steady-state. Molecular diffusivity of n-hexane in air is DAB =2x10 m2/s at 25 °C and 1 bar, and vapor pressure of n-hexane is pa°-152 mmHg at 25 °C. a) Draw a schematic picture of the mass transfer in the beaker. b) Discuss the type of mass transfer in the gas-vapor mixture. c) Using the equation dy N=-CDAB + yA + N dz Derive the molar flux equation for the condition given, showing every step of integration.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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1) A beaker with 10 cm in height is filled with liquid solvent n-hexane up to a level2 cm below the top (mouth) of the beaker at 25°C and 1 bar. With a fan, dry air at 25°C and 1 bar is blown gently across the mouth of the beaker, so that the hexane vapor transferred through the air and n-hexane gas-vapor mixture by diffusion. Hexane concentration at the mouth of the beaker is negligible. Assume that air does not dissolve in liquid hexane, and the liquid height in the beaker is constant within observation period, hence the system is in steady-state. Molecular diffusivity of n-hexane in air is DAB -2x10 m²/s at 25 °C and 1 bar, and vapor pressure of n-hexane is pa°-152 mmHg at 25 °C. a) Draw a schematic picture of the mass transfer in the beaker. b) Discuss the type of mass transfer in the gas-vapor mixture. c) Using the equation dyA N=-cD 4 + y , (N , + N,) + y, (N, +N, d z Derive the molar flux equation for the condition given, showing every step of integration. d) Calculate the total molar flux of vapor hexane for this system. e) Assuming the system as steady-state, the point 1 as the liquid-vapor interface, the point 2 as the mouth of beaker, and the point 3 where the hexane partial pressure is one quarter of the vapor pressure of hexane at point 1, calculate the location of the point 3 from the liquid surface.
Transcribed Image Text:1) A beaker with 10 cm in height is filled with liquid solvent n-hexane up to a level2 cm below the top (mouth) of the beaker at 25°C and 1 bar. With a fan, dry air at 25°C and 1 bar is blown gently across the mouth of the beaker, so that the hexane vapor transferred through the air and n-hexane gas-vapor mixture by diffusion. Hexane concentration at the mouth of the beaker is negligible. Assume that air does not dissolve in liquid hexane, and the liquid height in the beaker is constant within observation period, hence the system is in steady-state. Molecular diffusivity of n-hexane in air is DAB -2x10 m²/s at 25 °C and 1 bar, and vapor pressure of n-hexane is pa°-152 mmHg at 25 °C. a) Draw a schematic picture of the mass transfer in the beaker. b) Discuss the type of mass transfer in the gas-vapor mixture. c) Using the equation dyA N=-cD 4 + y , (N , + N,) + y, (N, +N, d z Derive the molar flux equation for the condition given, showing every step of integration. d) Calculate the total molar flux of vapor hexane for this system. e) Assuming the system as steady-state, the point 1 as the liquid-vapor interface, the point 2 as the mouth of beaker, and the point 3 where the hexane partial pressure is one quarter of the vapor pressure of hexane at point 1, calculate the location of the point 3 from the liquid surface.
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