Why Is There Disagreement on Entropy in Irreversible Adiabatic Processes?

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SUMMARY

The discussion centers on the disagreement regarding entropy determination in irreversible adiabatic processes. It is established that irreversible adiabatic expansions increase the total entropy of an isolated system, aligning with the Clausius inequality. The confusion arises from the assignment stating that the change in entropy (ΔS) can be negative, which contradicts the principle that the total entropy of the universe must increase during such processes. The participants emphasize that while a system's entropy may decrease, the environment's entropy increases significantly, ensuring the overall entropy change remains positive.

PREREQUISITES
  • Understanding of the Second Law of Thermodynamics
  • Familiarity with the Clausius inequality
  • Knowledge of reversible and irreversible processes
  • Basic concepts of entropy and its calculation
NEXT STEPS
  • Study the implications of the Second Law of Thermodynamics in various processes
  • Explore the Clausius inequality in detail
  • Learn about the differences between reversible and irreversible thermodynamic processes
  • Investigate entropy calculations in both isolated systems and the universe
USEFUL FOR

Students of thermodynamics, physicists, and engineers interested in understanding entropy changes in irreversible processes.

Brian Curtis
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Why does there tend to be disagreement on an irreversible adiabat entropy determination? Doesn't an irreversible adiabatic expansion increase the entropy of a system by the Clausius inequality?
 
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Total entropy of an isolated system or of Universe increases when the isolated system or universe undergoes irreversible adiabatic process.
 
Let'sthink said:
Total entropy of an isolated system or of Universe increases when the isolated system or universe undergoes irreversible adiabatic process.
That's what I've thought. It can be proved by determining entropy through a reversible cycle. However, in class, it was mentioned on an assignment that the delta S is negative and not spontaneous. Which again, does not make sense
 
I do not understand what is meant by spontaneous but for any process the change in entropy of a system can be negative but then the change in entropy of environment will be positive and greater in magnitude of the change for system, for an irreversible process.
 

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