A piston cylinder device like the one shown in the figure initially has 0.4 kg of air at 250 kPa occupying a volume equal to 0.2 m³. Heat is supplied at a constant rate through the bottom of the cylinder; the lateral wall of the cylinder and the piston are made of a heat resistant material that can be considered a perfect thermal insulator (i.e., no heat transfer across the cylinder walls). The ambient atmospheric pressure surrounding the device is 100 kPa. As a result of applying heat, the internal energy of the gas increases by 22 kJ and the volume expands by 25%. Assume that there is no friction between the piston and the wall and the air inside the piston does not leak out. Please answer the following: A. List the three most important assumptions and approximations that you will need and use to solve all questions below (Hint: Please add these as you complete the following parts). B. Should this system be analyzed as a control volume (i.e., open system) or a control mass (i.e., closed system) C. Draw a boundary for the system that you will use to answer the questions below. Include all the energy interactions across the boundary. D. Represent the initial (1) and final (2) states on a P-V diagram and the process line. Include values and units on each axis (kPa, m³) Compute the work done by the air inside the cylinder on the piston during process 1-2, E. in kJ. F. G. Determine the final temperature of the air, in °C. Evaluate the total heat transferred during the process, in kJ. Patm = 100 kPa Air
A piston cylinder device like the one shown in the figure initially has 0.4 kg of air at 250 kPa occupying a volume equal to 0.2 m³. Heat is supplied at a constant rate through the bottom of the cylinder; the lateral wall of the cylinder and the piston are made of a heat resistant material that can be considered a perfect thermal insulator (i.e., no heat transfer across the cylinder walls). The ambient atmospheric pressure surrounding the device is 100 kPa. As a result of applying heat, the internal energy of the gas increases by 22 kJ and the volume expands by 25%. Assume that there is no friction between the piston and the wall and the air inside the piston does not leak out. Please answer the following: A. List the three most important assumptions and approximations that you will need and use to solve all questions below (Hint: Please add these as you complete the following parts). B. Should this system be analyzed as a control volume (i.e., open system) or a control mass (i.e., closed system) C. Draw a boundary for the system that you will use to answer the questions below. Include all the energy interactions across the boundary. D. Represent the initial (1) and final (2) states on a P-V diagram and the process line. Include values and units on each axis (kPa, m³) Compute the work done by the air inside the cylinder on the piston during process 1-2, E. in kJ. F. G. Determine the final temperature of the air, in °C. Evaluate the total heat transferred during the process, in kJ. Patm = 100 kPa Air
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Transcribed Image Text:Problem 2
A piston cylinder device like the one shown in the figure initially has 0.4 kg of air at 250 kPa
occupying a volume equal to 0.2 m³. Heat is supplied at a constant rate through the bottom of
the cylinder; the lateral wall of the cylinder and the piston are made of a heat resistant material
that can be considered a perfect thermal insulator (i.e., no heat transfer across the cylinder
walls). The ambient atmospheric pressure surrounding the device is 100 kPa. As a result of
applying heat, the internal energy of the gas increases by 22 kJ and the volume expands by
25%. Assume that there is no friction between the piston and the wall and the air inside the
piston does not leak out. Please answer the following:
A. List the three most important assumptions and approximations that
you will need and use to solve all questions below (Hint: Please add these as
you complete the following parts).
B. Should this system be analyzed as a control volume (i.e., open
system) or a control mass (i.e., closed system)
Draw a boundary for the system that you will use to answer the
questions below. Include all the energy interactions across the boundary.
D. Represent the initial (1) and final (2) states on a P-V diagram and the
process line. Include values and units on each axis (kPa, m³)
Compute the work done by the air inside the cylinder on the piston during process 1-2,
E.
in kJ.
F.
G.
Determine the final temperature of the air, in °C.
Evaluate the total heat transferred during the process, in kJ.
Patm = 100 kPa
Air
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