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mfb- t1_is148d3 wrote

Pressure and density are only proportional for ideal gases. At sea level pressure that's a good approximation, at 1000 times that pressure it is not. It's in a supercritical state, which is a state between a gas and a liquid. This page says nitrogen has a density of 0.3 g/cm^3 at the critical point. I don't find data for 1000 times the atmospheric pressure, but it's likely the density doesn't exceed the density of liquid nitrogen (~0.8 g/cm^(3)), so it would still rise. The 20% oxygen content shouldn't change that, even though liquid oxygen has a higher density than water.

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Origin_of_Mind t1_is1v94h wrote

NIST has tables of thermodynamic properties of gasses over a wide range of parameters. (Here is a large pdf for nitrogen up to 900 MPa.) The data proves that you are 100% correct -- even at circa 9000 times the atmospheric pressure, the density of nitrogen is still only 1.07 g/cm^(3) (at room temperature).

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