A massless frictionless piston-cylinder device contains 1 kg of air at the pressure of 100kPa and the temperature of 300K (state 1) The heat is added so that the air is now expanded at constant pressure till the volume become twice of the initial volume (state 2) As last step, heat is removed at constant volume so that pressure become half of the original pressure (state 3). Assume air as the ideal gas throughout all processes with a gas constant of R=0.287 kJ/kg-K. The heat capacity the air at constant pressure is 1.00 kJ/kg.K. Write neat and clearly legible solution. Scratch work will not be accepted. The initial volume of the air is Draw the PV diagram for the whole process (state 1 to 3). Clearly mark volume and pressure values along the axis Did you draw it? Yes, I did. (Click to select) The magnitude of total work done by the air from state 1 to 3 is (Hint: How do you represent work in a PV diagram?) KJ kJ The magnitude of total heat gain by the air from state 1 to 3 is (Hint: What is the relation between initial temperature(state 1) and final temperature(state 3) here? What will be the total Internal energa change?)

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter3: The First Law Of Thermodynamics
Section: Chapter Questions
Problem 97CP: The insulated cylinder shown below is closed at both ends and contains an insulating piston that is...
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A massless frictionless piston-cylinder device contains 1 kg of air at the pressure of 100kPa and the temperature of 300K (state 1)
The heat is added so that the air is now expanded at constant pressure till the volume become twice of the initial volume (state 2)
As last step, heat is removed at constant volume so that pressure become half of the original pressure (state 3).
Assume air as the ideal gas throughout all processes with a gas constant of R=0.287 kJ/kg-K. The heat capacity of the air at constant
pressure is 1.00 kJ/kg.K.
Write neat and clearly legible solution. Scratch work will not be accepted.
The initial volume of the air is [
m³
Draw the PV diagram for the whole process (state 1 to 3). Clearly mark volume and pressure values along the axis
Did you draw it?
Yes, I did. (Click to select)
The magnitude of total work done by the air from state 1 to 3 is
(Hint: How do you represent work in a PV diagram?)
kJ
The magnitude of total heat gain by the air from state 1 to 3 is
(Hint: What is the relation between initial temperature(state 1) and final temperature(state 3) here? What will be the total internal energ
change?)
Transcribed Image Text:A massless frictionless piston-cylinder device contains 1 kg of air at the pressure of 100kPa and the temperature of 300K (state 1) The heat is added so that the air is now expanded at constant pressure till the volume become twice of the initial volume (state 2) As last step, heat is removed at constant volume so that pressure become half of the original pressure (state 3). Assume air as the ideal gas throughout all processes with a gas constant of R=0.287 kJ/kg-K. The heat capacity of the air at constant pressure is 1.00 kJ/kg.K. Write neat and clearly legible solution. Scratch work will not be accepted. The initial volume of the air is [ m³ Draw the PV diagram for the whole process (state 1 to 3). Clearly mark volume and pressure values along the axis Did you draw it? Yes, I did. (Click to select) The magnitude of total work done by the air from state 1 to 3 is (Hint: How do you represent work in a PV diagram?) kJ The magnitude of total heat gain by the air from state 1 to 3 is (Hint: What is the relation between initial temperature(state 1) and final temperature(state 3) here? What will be the total internal energ change?)
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