Sketch a PV diagram and find the work done by the gas during the following stages. (a) A gas is expanded from a volume of 1.0 L to 7.5 L at a constant pressure of 8.0 atm.  J (b) The gas is then cooled at constant volume until the pressure falls to 1.5 atm.  J (c) The gas is then compressed at a constant pressure of 1.5 atm from a volume of 7.5 L to 1.0 L. (Note: Be careful of signs.)  J

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Sketch a PV diagram and find the work done by the gas during the following stages.

(a) A gas is expanded from a volume of 1.0 L to 7.5 L at a constant pressure of 8.0 atm.
 J

(b) The gas is then cooled at constant volume until the pressure falls to 1.5 atm.
 J

(c) The gas is then compressed at a constant pressure of 1.5 atm from a volume of 7.5 L to 1.0 L. (Note: Be careful of signs.)
 J

(d) The gas is heated until its pressure increases from 1.5 atm to 8.0 atm at a constant volume.
 J

(e) Find the net work done during the complete cycle.
 J

Sketch a PV diagram of the process outlined in parts (a)–(d).
A rectangular path is plotted on a PV diagram which has a horizontal axis labeled V (L), and a vertical axis labeled P (atm). The path is counterclockwise and runs through corner points ad in the following order:
  • a (1.0, 8.0), 
  • b (1.0, 1.5), 
  • c (7.5, 1.5), 
  • d (7.5, 8.0).
A rectangular path is plotted on a PV diagram which has a horizontal axis labeled V (L), and a vertical axis labeled P (atm). The path is clockwise and runs through corner points ad in the following order:
  • a (1.0, 1.5), 
  • b (1.0, 8.0), 
  • c (7.5, 8.0), 
  • d (7.5, 1.5).
A rectangular path is plotted on a PV diagram which has a horizontal axis labeled V (L), and a vertical axis labeled P (atm). The path is clockwise and runs through corner points ad in the following order:
  • a (1.0, 8.0), 
  • b (7.5, 8.0), 
  • c (7.5, 1.5), 
  • d (1.0, 1.5).
A rectangular path is plotted on a PV diagram which has a horizontal axis labeled V (L), and a vertical axis labeled P (atm). The path is counterclockwise and runs through corner points ad in the following order:
  • a (7.5, 1.5), 
  • b (7.5, 8.0), 
  • c (1.0, 8.0), 
  • d (1.0, 1.5).
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