What Changes During Free Adiabatic Expansion of a Real Gas?

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Discussion Overview

The discussion revolves around the changes that occur during the free adiabatic expansion of a real gas, specifically focusing on internal energy, temperature, and pressure. Participants explore the implications of the ideal gas law versus the behavior of real gases under these conditions.

Discussion Character

  • Homework-related
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant notes that for ideal gases under adiabatic conditions, pressure is the only change, but questions how this applies to real gases due to intermolecular forces.
  • Another participant clarifies that in free adiabatic expansion, pressure decreases and temperature increases, while internal energy remains constant because no work is done.
  • A different participant asserts that in free expansion, PV = constant implies that temperature must also remain constant, while pressure decreases and volume increases.
  • Another contribution states that since no work is done and no heat is transferred in free expansion, the internal energy change is zero, but for real gases, internal energy depends on both temperature and pressure, suggesting that temperature must change if pressure does.

Areas of Agreement / Disagreement

Participants express differing views on how temperature and internal energy behave during free adiabatic expansion of a real gas, indicating that the discussion remains unresolved with multiple competing perspectives.

Contextual Notes

Participants highlight the differences between ideal and real gases, particularly regarding intermolecular forces and their effects on internal energy and temperature, but do not resolve the implications of these factors.

brake4country
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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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