Q.
In an adiabatic compression, the temperature of an ideal gas rises and the average kinetic energy of the molecules also increases. Why is the kinetic energy increasing?
If an ideal gas is compressed adiabatically, its temperature rises, because heat produced cannot be lost to be the surroundings. Each molecule has more has more KE then before of collisions of molecules with moving parts of the wall ( i.e. piston compressing the gas).