The air sample is returned to state E at 300K and is rapidly compressed to a volume of 50 cm. The compression is rapid enough and the insulation thick enough that there is no time for any significant quantity of heat to be transferred into or out of the air. A compression or expansion with no heat transfer is called an adiabatic process (from the Greek adiabatos, meaning impassable). Give a rough sketch of this adiabatic compression process on the PV Diagram below. The final state will be called state H. A. Is the final temperature of the air greater than, less than, or equal to 300K? Explain your reasoning. 2.0 atm greater than Bune, noheat exchange 1.0 atm B. Is the final pressure of the air greater than, less than, or equal to 1.0 atm? Explain. increases as N. lome ? compressed 100 cm 200 cm The final state of an ideal gas after an adiabatic compression or expansion can be related to its initial state by P;V{= P¢V?. For a diatomic gas, y=7/5. C. Determine numerical values for the final pressure and temperature, as a result of the adiabatic compression. Let's call the final state after this compression 0,SatmxC locn3) (so en') Š をTi) PiV? E 1.32atm = 395. 8515. D. Now that you know a little more about state H, try to draw a more precise skefch of the adiabatic compression in the PV diagram below than you did in the previous diagram.
The air sample is returned to state E at 300K and is rapidly compressed to a volume of 50 cm. The compression is rapid enough and the insulation thick enough that there is no time for any significant quantity of heat to be transferred into or out of the air. A compression or expansion with no heat transfer is called an adiabatic process (from the Greek adiabatos, meaning impassable). Give a rough sketch of this adiabatic compression process on the PV Diagram below. The final state will be called state H. A. Is the final temperature of the air greater than, less than, or equal to 300K? Explain your reasoning. 2.0 atm greater than Bune, noheat exchange 1.0 atm B. Is the final pressure of the air greater than, less than, or equal to 1.0 atm? Explain. increases as N. lome ? compressed 100 cm 200 cm The final state of an ideal gas after an adiabatic compression or expansion can be related to its initial state by P;V{= P¢V?. For a diatomic gas, y=7/5. C. Determine numerical values for the final pressure and temperature, as a result of the adiabatic compression. Let's call the final state after this compression 0,SatmxC locn3) (so en') Š をTi) PiV? E 1.32atm = 395. 8515. D. Now that you know a little more about state H, try to draw a more precise skefch of the adiabatic compression in the PV diagram below than you did in the previous diagram.
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11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Transcribed Image Text:delefe
ection: M,W,F 2:300
PV Diagrams
V. Adiabatic Compression
The air sample is returned to state E at 300K and is rapidly compressed to a volume of 50 cm´·
The compression is rapid enough and the insulation thick enough that there is no time for any
significant quantity of heat to be transferred into or out of the air. A compression or expansion
with no heat transfer is called an adiabatic process (from the Greek adiabatos, meaning
impassable). Give a rough sketch of this adiabatic compression process on the PV Diagram
below. The final state will be called state H.
A. Is the final temperature of the air
greater than, less than, or equal
to 300K? Explain your
reasoning.
2.0 atm
greater than
Mune, noheat
exchange
1.0 atm
B. Is the final pressure of the air
greater than, less than, or
equal to 1.0 atm? Explain.
increases as
v.lome ? compressed.
100 cm
200 cm
V
The final state of an ideal gas after an adiabatic compression or expansion can be related to its
initial state by P;V{= P¢V?. For a diatomic gas, y=7/5.
C. Determine numerical values for the final pressure and temperature, as a result of the adiabatic
compression. Let's call the final state after this compression
0.SatmxC loocm3)}
(So en') Š
PiV?
E1.32atm
こ
D. Now that you know a little more about state H, try to draw a more precise sketch of the
adiabatic compression in the PV diagram below than you did in the previous diagram.
- 5-
PV Diagrams
PHY 1122, Winter 2011
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