Stoichiometry
Unrestrained expansion of an ideal gas does not result in its cooling due to the reason that the gas molecules

Are above the inversion temperature
Do not exert attractive force on each other
Do not lose energy on collision
Do work equal to loss in kinetic energy

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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
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
No component is concentrated at the surface of the solution

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