A rigid tank of volume 0.018 m³ is connected through a closed valve to a vertical cylinder fitted with a freely moveable frictionless heavy piston of area 0.02 m². Initially, the rigid tank is filled with air at 500 kPa and 25 °C while the cylinder has air of volume 0.015 m³ at 25 °C. In the vicinity, the ambient air pressure is 100 kPa and the gravitational acceleration is 9.81 m/s“. It is given that the air can be assumed to behave as an ideal gas with the gas constant R = 0.287 kJ/kg.K. (a) At this initial state, determine the air pressure in the cylinder. The valve is then slowly opened and left opened, allowing the pressurised air from the rigid tank to flow gently into the cylinder, thus lifting the piston. This process continues until the piston comes to rest with the whole connected system reaching its final state of equilibrium. During this entire process, the air temperature in the rigid tank and the cylinder remains constant at 25 °C. (b) Find the mass of the air transferred from the rigid tank to the cylinder (c) Calculate the displacement of the piston during this process (d) Find the work done by the air in the connected system during the process.
A rigid tank of volume 0.018 m³ is connected through a closed valve to a vertical cylinder fitted with a freely moveable frictionless heavy piston of area 0.02 m². Initially, the rigid tank is filled with air at 500 kPa and 25 °C while the cylinder has air of volume 0.015 m³ at 25 °C. In the vicinity, the ambient air pressure is 100 kPa and the gravitational acceleration is 9.81 m/s“. It is given that the air can be assumed to behave as an ideal gas with the gas constant R = 0.287 kJ/kg.K. (a) At this initial state, determine the air pressure in the cylinder. The valve is then slowly opened and left opened, allowing the pressurised air from the rigid tank to flow gently into the cylinder, thus lifting the piston. This process continues until the piston comes to rest with the whole connected system reaching its final state of equilibrium. During this entire process, the air temperature in the rigid tank and the cylinder remains constant at 25 °C. (b) Find the mass of the air transferred from the rigid tank to the cylinder (c) Calculate the displacement of the piston during this process (d) Find the work done by the air in the connected system during the process.
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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Transcribed Image Text:A rigid tank of volume 0.018 m is connected through a closed valve to a vertical cylinder fitted
with a freely moveable frictionless heavy piston of area 0.02 m?. Initially, the rigid tank is filled with
air at 500 kPa and 25 °C while the cylinder has air of volume 0.015 m³ at 25 °C. In the vicinity, the
ambient air pressure is 100 kPa and the gravitational acceleration is 9.81 m/s. It is given that the
2
air can be assumed to behave as an ideal gas with the gas constant R = 0.287 kJ/kg.K.
(a) At this initial state, determine the air pressure in the cylinder.
The valve is then slowly opened and left opened, allowing the pressurised air from the rigid tank to
flow gently into the cylinder, thus lifting the piston. This process continues until the piston comes
to rest with the whole connected system reaching its final state of equilibrium. During this entire
process, the air temperature in the rigid tank and the cylinder remains constant at 25 °C.
(b) Find the mass of the air transferred from the rigid tank to the cylinder
(c)
Calculate the displacement of the piston during this process
(d) Find the work done by the air in the connected system during the process.
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