An ideal gas expands at constant pressure (P1=6.00x105 Pa) from a volume VA=1.00 m3 to a volume VB=4.00 m3. Next, the gas is compressed to a volume VC=2.50 m3 and a pressure P2=2.00x105 Pa. The gas finally returns to its initial state (P1=6.00x105 Pa and VA=1.00 m3). Work is the area under the PV-diagram curve and the sign matters. (See Figure and ignore the isotherms. They are not needed to solve the problem. Note, the figure is labeled in atmospheres while the problem statement uses Pascals—use Pascals)How much work is done on the gas during the first (isobaric) process?How much work is done on the gas during the second (general process)?How much work is done on the gas during the third (general process)How much work is done during one complete cycle of this process? Pressure-Volume (PV) diagram for Perfect Gas: # moles = 1507-T=400.0 KT=600.0 KT=800.0 KT=1000.0 KT=1200.0 KT=1400.0 KT=1600.0 KT=1800 K0.51.01.52.02.53.03.54.04.5Volume (cubic meters)3.2.Pressure (atm)

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Answered: Pressure-Volume (PV) diagram for…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter20: Kinetic Theory Of Gases

Section: Chapter Questions

Problem 2PQ

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An ideal gas expands at constant pressure (P₁=6.00x10⁵Pa) from a volume V_A=1.00 m³ to a volume V_B=4.00 m³. Next, the gas is compressed to a volume V_C=2.50 m³ and a pressure P₂=2.00x10⁵Pa. The gas finally returns to its initial state (P₁=6.00x10⁵Pa and V_A=1.00 m³). Work is the area under the PV-diagram curve and the sign matters. (See Figure and ignore the isotherms. They are not needed to solve the problem. Note, the figure is labeled in atmospheres while the problem statement uses Pascals—use Pascals)

How much work is done on the gas during the first (isobaric) process?
How much work is done on the gas during the second (general process)?
How much work is done on the gas during the third (general process)
How much work is done during one complete cycle of this process?

Pressure-Volume (PV) diagram for Perfect Gas: # moles = 150
7-
T=400.0 K
T=600.0 K
T=800.0 K
T=1000.0 K
T=1200.0 K
T=1400.0 K
T=1600.0 K
T=1800 K
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
Volume (cubic meters)
3.
2.
Pressure (atm)

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