Liquid Air and Compressed Air Density

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SUMMARY

The density of normal air at standard temperature and pressure (STP) is 1.225 kg/m³, while liquid air has a density of 870 kg/m³, making it 710 times denser than normal air. Compressing normal air to over 710 atmospheric pressure can theoretically yield a density greater than that of liquid air. However, air must be cooled to 132.63K at 1 bar and then compressed to 37.858 bar to achieve liquefaction, as indicated by the principles of the triple point and critical point. Air at STP remains a gas and does not qualify as a supercritical fluid.

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Anand Sivaram
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TL;DR
Liquid Air and Compressed Air Density
Densities of Normal Air is 1.225 kg/m3 at STP, whereas the density of Liquid Air is 870 kg/m3. That means liquid air is 710x denser that normal air.
Then suppose, we compress normal air to more than 710 atmospheric pressure, then it could have a density more than that of liquid air. Is this understanding correct?
Basically, could we compress air to that high level? Can gaseous state have more density that the liquid state? What is the typical or practial maximum pressure achieved in an air compressor? Assuming all isothermal compression used.
 
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I understood the logic of Triple Point and Critical Point. If air is cooled to 132.63K at 1bar and then compress it to 37.858 bar, it would liquefy. Above this temperature there is no liquid phase.
For water it is 647K and 218bar above which it is considered as supercritical fluid.

In that case should air at STP also be considered as supercritical fluid? Also what is the typical pressure obtained from air compressors? Industrial/Scientific ones?
 
I believe supercritical implies being above critical point in both T and P. So air at STP is just a gas.
 
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