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Q3:a) Pure oxygen gas is in a tube at 1 atm pressure and 313 K. The wall thickness of the tube is 1x10-3m and the fluid surrounding the tube is air at 1 atm pressure and 313 K. There is a 1.2 x 10-8 m diameter hole (capillary) on the tube wall. Find the rate at which oxygen leaks out through this hole. The mean free path for oxygen is given as 1x10-7m. The molecular diffusion coefficient of the oxygen and nitrogen system at 1 atm and 313 K is 9.6x10-6 m2 / s.

Q3:a) Pure oxygen gas is in a tube at 1 atm pressure and 313 K. The wall thickness of the tube is 1x10-3m and the fluid surrounding the tube is air at 1 atm pressure and 313 K. There is a 1.2 x 10-8 m diameter hole (capillary) on the tube wall. Find the rate at which oxygen leaks out through this hole. The mean free path for oxygen is given as 1x10-7m. The molecular diffusion coefficient of the oxygen and nitrogen system at 1 atm and 313 K is 9.6x10-6 m2 / s.

Introduction to Chemical Engineering Thermodynamics
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
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Q3:a) Pure oxygen gas is in a tube at 1 atm pressure and 313 K. The wall thickness of the tube is 1x10-3m and the fluid surrounding the tube is air at 1 atm pressure and 313 K. There is a 1.2 x 10-8 m diameter hole (capillary) on the tube wall. Find the rate at which oxygen leaks out through this hole. The mean free path for oxygen is given as 1x10-7m. The molecular diffusion coefficient of the oxygen and nitrogen system at 1 atm and 313 K is 9.6x10-6 m2 / s. b) A cylindrical piece of wood with a diameter of 30 cm and a height of 30 cm with an initial moisture content of 0.18 (kg water/kg dry matter) was placed in a dry air stream. Drying occurs only in the radial direction. The bases of the cylinder are insulated against diffusion. The water that diffuses from the solid center to the surface is left to the constantly renewed air flow from here. After 10 hours of drying, the average moisture content in the solid was determined as 0.11 (kg water / kg dry matter). Find the effective diffusion coefficient of water in the solid. If there is diffusion from the bottoms of the cylinders, find the average humidity time that takes place in the same time.
Transcribed Image Text:Q3:a) Pure oxygen gas is in a tube at 1 atm pressure and 313 K. The wall thickness of the tube is 1x10-3m and the fluid surrounding the tube is air at 1 atm pressure and 313 K. There is a 1.2 x 10-8 m diameter hole (capillary) on the tube wall. Find the rate at which oxygen leaks out through this hole. The mean free path for oxygen is given as 1x10-7m. The molecular diffusion coefficient of the oxygen and nitrogen system at 1 atm and 313 K is 9.6x10-6 m2 / s. b) A cylindrical piece of wood with a diameter of 30 cm and a height of 30 cm with an initial moisture content of 0.18 (kg water/kg dry matter) was placed in a dry air stream. Drying occurs only in the radial direction. The bases of the cylinder are insulated against diffusion. The water that diffuses from the solid center to the surface is left to the constantly renewed air flow from here. After 10 hours of drying, the average moisture content in the solid was determined as 0.11 (kg water / kg dry matter). Find the effective diffusion coefficient of water in the solid. If there is diffusion from the bottoms of the cylinders, find the average humidity time that takes place in the same time.
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