here is an airtight box made of a 1 mm thick metal sheet. The dimensions of the box are 10 cm wide, 30 cm long and an unknown height "h". The box is at 800 ° C and inside it contains a gas, which escapes by diffusion through its walls. If the gas flow is 0.5 g / (cm2 hour), determine the value of the height h in centimeters so that 1200 grams of gas escape in 2 hours.
here is an airtight box made of a 1 mm thick metal sheet. The dimensions of the box are 10 cm wide, 30 cm long and an unknown height "h". The box is at 800 ° C and inside it contains a gas, which escapes by diffusion through its walls. If the gas flow is 0.5 g / (cm2 hour), determine the value of the height h in centimeters so that 1200 grams of gas escape in 2 hours.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
There is an airtight box made of a 1 mm thick metal sheet. The dimensions of the box are 10 cm wide, 30 cm long and an unknown height "h". The box is at 800 ° C and inside it contains a gas, which escapes by diffusion through its walls. If the gas flow is 0.5 g / (cm2 hour), determine the value of the height h in centimeters so that 1200 grams of gas escape in 2 hours.
Expert Solution
Step 1
Some gases can diffuse through walls when pressurized. This diffusion rate depends upon the properties of the gas as well as upon the properties of the wall material.
The rate of diffusion of gases through metals is proportional to the square root of the pressure. In confined spaces, gases can diffuse through walls and proportional to area of the walls.
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