What is the change in temperature when a compressed real gas is allowed to expand adiabatically through a porous plug

A monoatomic gas, initially at temperature T_(1) , is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature. T_(2) by releasing the piston suddenly. Of L_(1) and L_(2) are the lengths of the gas column before and after expansion respectively, then T_(1)//T_(2) is given by

When a gas expands adiabatically, its internal energy

What will happen when we apply pressure and compress a gas enclosed in a cylinder ?

An ideal gas with pressure P, volume V and temperature T is expanded isothermally to a volume 2V and a final pressure P_1 . The same gas is expanded adiabatically to a volume 2V, the final pressure is P_A . In terms of the ratio of the two specific heats for the gas gamma , the ratio P_I//P_A is :

A given mass of a gas is compressed isothermally untill its pressure is doubled. It is then allowed to expand adiabatically until its original volume is restored and its pressure is then found to be 0.75 of its initial pressure . The ratio of the specific heats of the gas is approximately .