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Air refrigeration cycle is used in

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Gas liquefaction

The processes are used for scientific, industrial and commercial purposes. Many gases can be put into a liquid state at normal atmospheric pressure by simple cooling; a few, such as carbon dioxide, require pressurization as well.
At ambient pressure the boiling point of liquefied helium is 4.22 K
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Gas liquefaction is physical conversion of a gas into a liquid state (condensation). The liquefaction of gases is a complicated process that uses various compressions and expansions to achieve high pressures and very low temperatures. Air refrigeration cycle is used in gas liquefaction process.

Air refrigeration cycle is used in gas liquification.