Reversible and Irreversible Expansion

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SUMMARY

The discussion clarifies the distinction between reversible and irreversible expansion in thermodynamics. Reversible expansion occurs at equilibrium at every point along a defined path, allowing for precise calculations of work done, typically represented by the integral of pressure with respect to volume. In contrast, irreversible expansion involves non-equilibrium conditions at one or more points, resulting in an undefined value for work done. This fundamental difference is crucial for understanding thermodynamic processes and their implications in various applications.

PREREQUISITES
  • Understanding of thermodynamic principles
  • Familiarity with the concepts of equilibrium and non-equilibrium states
  • Knowledge of work and energy calculations in physics
  • Basic grasp of integral calculus as it applies to thermodynamic equations
NEXT STEPS
  • Research the mathematical derivation of work done in reversible processes
  • Study the implications of irreversible processes in real-world applications
  • Explore the concept of entropy and its relation to irreversible expansion
  • Learn about the Carnot cycle and its significance in thermodynamic efficiency
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Students and professionals in physics, engineering, and thermodynamics, particularly those focusing on energy systems and process optimization.

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What's the difference between reversible and irreversible expansion? I know how they are in formulas, (Irreversible-PV, reversible- integral over P in terms of V), but why are they expressed like this? What's the difference? And I would also like to get an exact formula of these two as I can't really find a page on the web about this, if there is it would be nice if you can put a link to the site.
 
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Reversible: at equilibrium at every point on a defined path, giving you an exact calculation of work done.
Irreversible: non-equilibrium at at least one point somewhere on the path, leaving you with an undefined and incalculable value for work done.
 

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