A worker pressurized a rigid pipe (with an inside diameter of 30 mm and length of 20 m) with dry air to check for leaks. The temperature and absolute pressure of the air in the pipe were 35°C and 205 kPa, respectively. After 24 hrs, the worker returns and finds out that the absolute pressure drops to 183 kPa, while the air temperature inside the pipe decreases to 21°C. Has air leaked out of the pipe? If yes, calculate the mass of air that has leaked out through the fittings. (Rair = 287.08 J / kgm K)

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter19: Temperature, Thermal Expansion And Gas Laws
Section: Chapter Questions
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A worker pressurized a rigid pipe (with an inside diameter of 30 mm and length of 20 m)
with dry air to check for leaks. The temperature and absolute pressure of the air in the
pipe were 35°C and 205 kPa, respectively. After 24 hrs, the worker returns and finds out
that the absolute pressure drops to 183 kPa, while the air temperature inside the pipe
decreases to 21°C. Has air leaked out of the pipe? If yes, calculate the mass of air that
has leaked out through the fittings. (Rair = 287.08 J / kgm K)

 

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