How Does Temperature Change Affect Pressure in a Piston-Cylinder System?

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SUMMARY

The discussion focuses on the relationship between temperature change and pressure in a piston-cylinder system, specifically analyzing a scenario where warm air cools from a volume of 0.003 m3 to 0.002 m3. The force exerted by a spring decreases linearly from 900 N to 0 N, while atmospheric pressure is maintained at 100 kPa. The ideal gas law, PV = nRT, is applicable to the air within the piston, and the spring force can be described using Hooke's Law, F = kx. Understanding these principles is essential for solving the problem presented.

PREREQUISITES
  • Understanding of the Ideal Gas Law (PV = nRT)
  • Knowledge of Hooke's Law (F = kx)
  • Familiarity with piston-cylinder assemblies in thermodynamics
  • Basic concepts of pressure and force in fluid mechanics
NEXT STEPS
  • Study the application of the Ideal Gas Law in varying volume and temperature conditions
  • Explore the principles of thermodynamics related to piston-cylinder systems
  • Learn about the calculations involved in linear spring force variations
  • Investigate the effects of atmospheric pressure on gas behavior in confined spaces
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Students and professionals in mechanical engineering, thermodynamics enthusiasts, and anyone involved in the study of fluid mechanics and gas laws will benefit from this discussion.

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Warm air is contained in a piston-cylinder assembly cools slowly from volume of 0.003 m^3 to 0.002 m^3. During the process a spring exerts a force that varies linearly from an initial value of 900 N to final value of 0. Patm = 100 kPa and the area of the piston face is 0.018 m^2.

Or,

V1 = 0.003 m^3
V2 = 0.002 m^3

F1 = 900 N
F2 = 0

Patm = 100 kPa
Image.jpg


I'm not exactly sure where to start here. Can someone help me figure out what formula to use?
 
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PV = nRT applies to the air in the piston.
F = kx applies to the spring.
What is the question?
 

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