Aerosol Can Spray: Cooling Effects Explained

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SUMMARY

The cooling effect observed when releasing spray from an aerosol can is explained by the Joule-Kelvin effect, which occurs when a real gas expands through a constriction without heat exchange. As the gas escapes, the pressure inside the can decreases, leading to a corresponding drop in temperature, as dictated by the ideal gas law (P*V = n*R*T). This phenomenon highlights the thermodynamic principles governing gas behavior under pressure and the implications for entropy changes during the process.

PREREQUISITES
  • Understanding of the ideal gas law (P*V = n*R*T)
  • Familiarity with the Joule-Kelvin effect
  • Basic thermodynamics concepts, including pressure, volume, and temperature relationships
  • Knowledge of real gases versus ideal gases
NEXT STEPS
  • Research the Joule-Kelvin effect in detail and its applications in refrigeration
  • Explore the principles of thermodynamics related to gas expansion and cooling
  • Learn about entropy changes in thermodynamic systems, particularly in real gases
  • Investigate the behavior of gases under varying pressure and temperature conditions
USEFUL FOR

Students and professionals in physics, chemistry, and engineering, particularly those interested in thermodynamics, refrigeration technology, and gas behavior in confined spaces.

alexbib
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I was told that when you release spray from an aerosol can, the can cools down. Is this true, and if so, why?

Does the gas in the can require outside energy to expand and escape the can?

Thanks,

Alex
 
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I think we can approach this problem with the good old ideal gas law. It states that P*V = n*R*T,

where P is pressure, V is volume, n represents the amount of gas, R is a constant, and T is temperature.

The gas in an aerosol can is under pressure. It wants to get out of the can and when you press the nozzle you provide the means for it to do so. Now were going to have to make some assumptions about what's going on when the nozzle is pressed and whatever gas is inside is sprayed out. I've only used this equation for gasses where n doesn't change. I think we can use a constant n as an approximation if we are considering a short burst. In this approximation the volume is going to remain constant as well (the can isn't changing shape) and R is defined as a constant. During the spray the pressure inside the can will go down, which for the above equation to be an equality, means the temperature has to go down.

Gabriel
 
That effect is known as Joule-Kelvin effect, and it only happens real gases! so the ideal gas don't work with this effect!

The Joule-Kelvin effect says that: If a real gas is expanding and it crosses a (i don't know the english word, but i want to mean that the section of the tube or so is lower than the section the gas was crossing before), without interchange of heat, then the temperature variates.

When you press the aerosol, the gas has to cross through the little hole, so the temperature of the recipient goes down.

MiGUi.
 
alright, I'll look it up. thanks!
 
this is exactly refrigirator work!
 
hey, anybody knows what happens to the entropy of the can? Does it increase or decrease? How could you evaluate the change in entropy, since pV=nRt is not true?
 
it is obvious that the overall entropy change is positive (compressed gas in a can is more ordered than when the pressure reaches an equilibrium, but what about the entropy of the can (and it's content) alone?
 

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