3 mol of air are contained in a piston-cylinder system with a surface of S = 5 m², loaded with a spring. The piston-cylinder system lies in a vertical plane, such that gravity acts on the piston. The initial pressure and temperature of the system are 25 kPa and 750 K, respectively. In the initial condition, the spring is unstretched. Heat is transferred from the air in the cylinder, which is cooled down to 200 K. In this quasi-static process, the volume is reduced to a third of the original one, stretching the spring. At the end of the cooling process, the spring snaps and the piston falls down, compressing the gas. This transformation happens fast, so that no heat is exchanged, but the transformation is non-quasi static. The end state of this compression is an equilibrium, with a volume equal to 85% of its value at the end of the quasi-static cooling process. Find: i) the heat that is transferred from the air within the cylinder during the quasi-static cooling, before the snapping of the spring; ii) the mass of the piston; iii) the spring constant (stiffness of the spring); and iv) the work exchanged during the non-quasi static compression after the snapping of the spring. Consider air as a diatomic gas.
3 mol of air are contained in a piston-cylinder system with a surface of S = 5 m², loaded with a spring. The piston-cylinder system lies in a vertical plane, such that gravity acts on the piston. The initial pressure and temperature of the system are 25 kPa and 750 K, respectively. In the initial condition, the spring is unstretched. Heat is transferred from the air in the cylinder, which is cooled down to 200 K. In this quasi-static process, the volume is reduced to a third of the original one, stretching the spring. At the end of the cooling process, the spring snaps and the piston falls down, compressing the gas. This transformation happens fast, so that no heat is exchanged, but the transformation is non-quasi static. The end state of this compression is an equilibrium, with a volume equal to 85% of its value at the end of the quasi-static cooling process. Find: i) the heat that is transferred from the air within the cylinder during the quasi-static cooling, before the snapping of the spring; ii) the mass of the piston; iii) the spring constant (stiffness of the spring); and iv) the work exchanged during the non-quasi static compression after the snapping of the spring. Consider air as a diatomic gas.
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:2. 3 mol of air are contained in a piston-cylinder system with a surface of S = 5 m², loaded with a spring.
The piston-cylinder system lies in a vertical plane, such that gravity acts on the piston. The initial
pressure and temperature of the system are 25 kPa and 750 K, respectively. In the initial condition,
the spring is unstretched. Heat is transferred from the air in the cylinder, which is cooled down to
200 K. In this quasi-static process, the volume is reduced to a third of the original one, stretching the
spring. At the end of the cooling process, the spring snaps and the piston falls down, compressing
the gas. This transformation happens fast, so that no heat is exchanged, but the transformation is
non-quasi static. The end state of this compression is an equilibrium, with a volume equal to 85% of
its value at the end of the quasi-static cooling process. Find: i) the heat that is transferred from the
air within the cylinder during the quasi-static cooling, before the snapping of the spring; ii) the mass
of the piston; iii) the spring constant (stiffness of the spring); and iv) the work exchanged during the
non-quasi static compression after the snapping of the spring. Consider air as a diatomic gas.
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