Adiabatic expansion of a real gas

In summary, during the free adiabatic expansion of a real gas, the pressure and temperature change while the internal energy remains constant. This is because the ideal gas law does not account for intermolecular forces, which affect the behavior of real gases. The correct answer is (II) temperature and (III) pressure.
  • #1
brake4country
216
7

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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  • #2
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.
 
  • #3
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.
 
  • #4
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
 

Related to Adiabatic expansion of a real gas

What is adiabatic expansion?

Adiabatic expansion is a thermodynamic process in which a gas expands without gaining or losing heat to its surroundings. This means that the gas expands and its temperature decreases, but there is no exchange of heat with the environment.

How does adiabatic expansion differ from isothermal expansion?

In adiabatic expansion, there is no heat exchange with the surroundings, whereas in isothermal expansion, the temperature of the gas remains constant as it expands. Adiabatic expansion also leads to a decrease in temperature, whereas isothermal expansion does not.

What is a real gas?

A real gas is a gas that behaves differently from an ideal gas at high pressures and low temperatures. Real gases have non-zero particle volume and experience intermolecular forces, which can affect their behavior under certain conditions.

How does adiabatic expansion of a real gas differ from that of an ideal gas?

In adiabatic expansion of a real gas, there is a decrease in temperature and an increase in volume, but the pressure does not always decrease as much as it would for an ideal gas. This is because real gases experience intermolecular forces, which can affect their behavior under certain conditions.

What are some practical applications of adiabatic expansion of real gases?

Adiabatic expansion of real gases is commonly used in various industrial processes such as refrigeration, air compression, and gas turbines. It is also an important concept in meteorology, as it explains the behavior of air parcels in the atmosphere and the formation of clouds and thunderstorms.

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