What Changes During Free Adiabatic Expansion of a Real Gas?

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SUMMARY

During the free adiabatic expansion of a real gas, both temperature and pressure change, while internal energy remains constant. This occurs because, unlike ideal gases, real gases experience intermolecular forces that affect their behavior under expansion. The process is characterized by no work being done and no heat transfer, leading to a decrease in pressure and an increase in temperature as the gas expands into a vacuum. The relationship between internal energy, temperature, and pressure is crucial for understanding real gas behavior during this process.

PREREQUISITES
  • Understanding of the Ideal Gas Law (PV=nRT)
  • Knowledge of adiabatic processes in thermodynamics
  • Familiarity with the concept of internal energy (ΔU)
  • Basic principles of real gas behavior and intermolecular forces
NEXT STEPS
  • Study the differences between ideal and real gases in thermodynamics
  • Learn about the implications of intermolecular forces on gas behavior
  • Explore the concept of adiabatic processes in greater detail
  • Investigate the mathematical relationships governing internal energy changes in real gases
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Students and professionals in physics and engineering, particularly those studying thermodynamics, gas laws, and real gas behavior during expansion processes.

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Homework Statement


Which of the following changes during the free adiabatic expansion of a real gas?
(I) internal energy
(II) temperature
(III) pressure

Homework Equations


PV=nRT; ΔU= q + w

The Attempt at a Solution


For ideal gases under adiabatic conditions, we know that there is no heat transfer. Thus, the only change is pressure. However, what can be concluded about real gases? Ideal gas law assumes no volume or attraction between molecules but real gases do not act this way, thus under high pressures, there is an increase in attraction due to intermolecular forces. So, if the real gas expands, volume changes but what can be said about internal energy and temperature? The correct answer states II and III but I do not see how temperature is affected under adiabatic conditions. Help please!
 
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I just found out that free adiabatic expansion does not contain a piston (sort of looks like a diffusion process). Therefore, it makes sense that pressure would decrease and temperature would increase from PV=nRT. Internal energy remains the same because no work is being done on the system.
 
It might be a little late already, but in a free expansion PV = constant, so T must remain constant too. Pressure decreases but volume increases.
 
In free expansion, the gas expands into a vacuum. So no work is done and, since the process is done adiabatically, no heat is transferred. So the change in internal energy is zero. But for a real gas, the internal energy is a function not only of temperature, but also of pressure. So if the internal energy of a real gas is to stay constant while its pressure changes, its temperature must also change.

Chet
 

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