I'm sorry, you are wrong on the air density definition.... I teach people to fly helicopters and the higher you go, the LESS dense air gets.
Also, the higher you go the lower the temperature gets.....
Temp and pressure are inversely proportionate, usually unless of course there is a temperature inversion... PM me if you want a better more thorough explanation.
Think of why people kick footballs further in the NFL in Colorado, compared to San Diego.... The air is less dense in Colorado.
Not measuring penises here, I just want the right info out there for people to read here on the hide!
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My apologies, lets be clear, High density altitude is high altitude or thin air. Low density altitude is low altitude or thicker air. Correct me if that is not how it expressed.
Density altitude is often shortened to 'air density'.
The same term applies, high or low, relating to altitude.
The point being in aviation (I've been in it now for 22 years) is it's always expressed one way so the listener is supposed to be able to understand. Just like why anyone in aviation can understand #1 or #2 engine, depending on what aircraft they are talking about. Why everything either forward or behind the pilot is given from the perspective the person describing the issue is behind the item described and L-R is always given from a 'looking forward' position.
High air density and low air density are given in terms of altitude above mean sea level. Not how thick or thin the air is. But, that's just aviation. Because, you now (being in aviation I'm surprised) have given your own definition of it.
...yes we know as you go lower the air normally gets thicker. And, as you go higher the air normally gets thinner...But, that is not how it is expressed in aviation. Thus why in post #5 that I explained that there is confusion with the differences in terminology. Since the shooting world has recently moved to density altitude, like aviation, it ought to be expressed that way.
Now, temperatures affect on air pressure. As temperature rises at a given altitude the air thins out. As it decreases (again, at a given altitude) the air pressure gets thicker. That is of course in open atmosphere. In contained atmosphere (like inside a sub or a pressurized plane) the opposite is true.
Regarding oxygen, TacticalDillHole is right. As pressure increases so does temperature. And if you want to make statements about it getting super cold, you might look up how to make liquid oxygen. The temperature increases as the oxygen pressure increases. The machines that make liquid oxygen then remove the latent heat. The pressure is taken past what oxygen turns to liquid. But it remains a gas. When the heat is removed, the oxygen is then allowed to expand slightly and this cools it even further turning it from a gas to a liquid. Much like steam when it hits something cold turns from a gas to a liquid.
Oh, and here's a good pilot joke: How many pilots does it take to change a light bulb? A: One, he holds the bulb in place and the whole world revolves around him.