A lot of the laws of physics I’ve studied, like Boyle’s Law and Charles’ Law, describe the behavior of “An ideal confined gas.”

I’ve had to tell several flight students to unlearn what they’ve learned about that in the meteorology chapter, because, for example, in a confined gas, increasing the temperature causes an increase in pressure while the density stays the same. In the Earth’s atmosphere, increasing temperature does nothing to the pressure and decreases the density. Because the Earth’s atmosphere isn’t “confined,” there’s no lid, the air is relatively free to change volume. Heat the entire planet up and the atmosphere will just get a little taller.

But, I think, even if we put a magical vacuum tight shell around the planet 200 miles up, making the volume finite, I think the atmosphere would still act like an unconfined gas, because 1. it’s so vast that it never homogenizes, parcels of different temperatures, pressures and moisture content take days to slosh across the available space, and 2. the Earth’s gravity will cause a pressure gradient; most of the air is at the bottom and if you heat it up, it may not change volume but the pressure at the top will increase.

So I guess there has to be an upper limit to the volume and/or mass of air that can be “confined” and it’s somewhere below planetary scale.

  • Encephalotrocity@biglemmowski.winEnglish
    8·
    2 days ago

    It’s important to remember the word ‘ideal’ that dictates the conditions needed. The gas cannot be mixing with an ‘external’ source, gaining or losing energy to it’s surroundings beyond the changes being specifically examined, is not subject to any forces or conditions not considered, and so on…

    You’re literally asking ‘at what point are perfect conditions, impossible to every truly achieve, implausible?’. The answer to that: as soon as any factor cannot be simply ignored for the sake of simplifying the math.