A piston cylinder assembly shown in the figure contains 0.9 kg of air. Initially the piston is resting on the stops and has a temperature of T, = 190°C. The height, h, from the bottom of the cylinder is 1.2 m. The piston has a mass (mp) of 3.6 kg and a diameter (D) of 600 mm. Weights with a total mass of mw are sitting on top of the piston. Heat is added until the temperature reaches T2-260°C at which point the piston just starts to lift off the stops. More heat is then added until the temperature reaches T;= 310°C. Treat air as an ideal gas. Assume Po = 101 kPa. a) Determine the initial pressure P1,of the air. b) Determine the mass of the weights, mw. c) Determine the change in height of the piston from state 1 to state 3 (h3-hi). d) Draw all state points and process lines on a P-V (pressure - volume) diagram. Include labeled constant temperature lines and label the pressure and volume values corresponding to each state point.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
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Chapter3: Transient Heat Conduction
Section: Chapter Questions
Problem 3.37P
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Can you do Part A and B.

A piston cylinder assembly shown in the figure contains 0.9 kg of air. Initially the piston is resting
on the stops and has a temperature of T, = 190°C. The height, hi, from the bottom of the cylinder
is 1.2 m. The piston has a mass (m,) of 3.6 kg and a diameter (D) of 600 mm. Weights with a total
mass of mw are sitting on top of the piston. Heat is added until the temperature reaches T2= 260°C
at which point the piston just starts to lift off the stops. More heat is then added until the
temperature reaches T3= 310°C. Treat air as an ideal gas. Assume P. = 101 kPa.
a) Determine the initial pressure P1,of the air.
b) Determine the mass of the weights, mw.
c) Determine the change in height of the piston from state 1 to state 3 (h3-hi).
d) Draw all state points and process lines on a P-V (pressure – volume) diagram. Include
labeled constant temperature lines and label the pressure and volume values corresponding
to each state point.
Weights, mw
P.
Piston, mp
hi
Air
Transcribed Image Text:A piston cylinder assembly shown in the figure contains 0.9 kg of air. Initially the piston is resting on the stops and has a temperature of T, = 190°C. The height, hi, from the bottom of the cylinder is 1.2 m. The piston has a mass (m,) of 3.6 kg and a diameter (D) of 600 mm. Weights with a total mass of mw are sitting on top of the piston. Heat is added until the temperature reaches T2= 260°C at which point the piston just starts to lift off the stops. More heat is then added until the temperature reaches T3= 310°C. Treat air as an ideal gas. Assume P. = 101 kPa. a) Determine the initial pressure P1,of the air. b) Determine the mass of the weights, mw. c) Determine the change in height of the piston from state 1 to state 3 (h3-hi). d) Draw all state points and process lines on a P-V (pressure – volume) diagram. Include labeled constant temperature lines and label the pressure and volume values corresponding to each state point. Weights, mw P. Piston, mp hi Air
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