Stoichiometry
No cooling occurs, when an ideal gas undergoes unrestrained expansion, because the molecules

Collide without loss of energy
Exert no attractive force on each other
Do work equal to loss in kinetic energy
Are above the inversion temperature

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Stoichiometry
An ideal gas can be liquified, because

Its molecular size is very small
Its critical temperature is more than 0°C
Forces operative between its molecules are negligible
It gets solidified directly without becoming liquid

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Stoichiometry
According to Raoult's law, "The vapor pressure exerted by component in a solution is proportional to the mole fraction of that component." Raoult's law is not applicable under the following assumption/condition.

The attractive forces between like and unlike molecules are almost equal
No component is concentrated at the surface of the solution
The component molecules are non polar and are of almost equal size
In the formation of solution, chemical combination/molecular association between unlike molecules takes place

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