Work done by a van der waal gas/real gas in a expansion

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SUMMARY

The discussion focuses on calculating the work done by a van der Waals gas during isothermal expansions, specifically addressing both reversible and irreversible processes. The formula for work done in an isothermal reversible expansion is established, while the challenge of finding an analytic expression for work done in an isothermal irreversible expansion is highlighted. The process involves dropping the initial pressure from pi to pf and holding it constant until equilibrium is reached.

PREREQUISITES
  • Understanding of van der Waals gas equations
  • Knowledge of isothermal processes in thermodynamics
  • Familiarity with concepts of reversible and irreversible expansions
  • Basic principles of pressure and equilibrium in gas systems
NEXT STEPS
  • Research the van der Waals equation and its applications in real gas behavior
  • Study the derivation of work done in isothermal reversible expansions
  • Explore methods for calculating work in irreversible gas expansions
  • Investigate the concept of pressure equilibrium in thermodynamic systems
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Students and professionals in thermodynamics, physicists, and engineers interested in the behavior of real gases and their expansion characteristics.

Zachary96
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Edited: To summarize the below attached jpg file is the formula for work done by a van der waals gas in a isothermal reversible expansion.

Is there a way to find the work done by a van der waal gas in a isothermal irreversible expansion? i.e the real gas expands against a constant pressure (in a balloon)
 

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  • comparison-of-work-of-expansion-of-an-ideal-Gas-and-a-van-der-Waals-Gas..jpg
    comparison-of-work-of-expansion-of-an-ideal-Gas-and-a-van-der-Waals-Gas..jpg
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Sure. But you may not be able to get an analytic expression. You drop the pressure from pi to pf at time zero, and then you hold the pressure at pf until the system equilibrates at the new state. It this the process you are envisioning?
 

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