Why cooling takes place when a gas suffer adiabatic expansion?

Write adiabatic gas equation

Calculate the work done by the system in an irreversible (single step) adiabatic expansion of 2 mole of a polyatomic gas (gamma=4//3) from 300 K and pressure 10 atm to 1 atm :

Inversion temperature (T_(i)=(2a)/(Rb)) is defined as the temperature above which if gas is expanded adiabatically it gets warm up but if temperature of gas is lower than T_(i) then it will cool down. What will happen to gas if it is adiabatically expanded at 50^(@)C if its Boyle's temperature is 20^(@)C

Precipitation takes place when the ionic product

Why does micelle formation take place when soap is added to water? will a micelle be formed in other solvents such as ethanol also?

When freezing of a liquid takes place in a system it: