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States of Matter & Gas Laws

Critical Temperature

The temperature above which a gas cannot be liquefied by pressure alone, however great.

Formula / equation T_c = 8a / 27Rb
Unit K

In depth

Above T_c the molecules have too much kinetic energy for intermolecular attractions ever to hold them in a liquid, so the distinction between liquid and gas disappears. Critical temperature rises with the strength of intermolecular forces, which is why polar substances have high values.

Examples in the real world

CO₂ has T_c = 31 °C and liquefies in a cylinder on a cool day; nitrogen must be cooled below −147 °C first.