Examples of systems which cannot receive work adiabatically?

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SUMMARY

In thermodynamics, a system that cannot receive work adiabatically is in equilibrium, as stated by Hatsopoulos and Keenan in "Principles of General Thermodynamics." A practical example is a piston containing an ideal gas in thermal equilibrium with an infinite reservoir. When constant pressure compression work is applied, the gas cools, leading to irreversible heat flow into the cylinder. Conversely, expansion work causes heat to flow out, highlighting the irreversibility associated with work done on the system and its relation to thermodynamic equilibrium and maximum entropy.

PREREQUISITES
  • Understanding of thermodynamic equilibrium
  • Familiarity with the concept of adiabatic processes
  • Knowledge of ideal gas behavior
  • Basic principles of entropy in thermodynamics
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  • Study the laws of thermodynamics, focusing on the first and second laws
  • Explore the concept of maximum entropy in closed systems
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In Principles of General Thermodynamics, Hatsopoulus and Keenan (p 442) make the following claim:
if a system is in such a state that it cannot receive work adiabatically, it is in equilibrium.
What, however, would be some physical examples of such a system?
 
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A piston with ideal gas as a working fluid in thermal equilibrium with an infinite reservoir. If you do constant pressure compression work on the piston, the gas gets colder, so there's an irreversible flow of heat into the cylinder from the reservoir. The opposite is true if you do expansion work. Either way, doing work on the system results in heat flow in/out of the system in an irreversible manner. The irreversibility is the key to understanding this claim. Remember that thermodynamic equilibrium is a state of maximum entropy.
 

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