The initial volume of an ideal gas is `V_(1)` and the initial pressure is `P_(1)=6` atmosphere. It expands isothermally to a volume `V_(2)` and pressure `P_(2)=3 atm`, and then adiabatically to a volume `V_(3)` and pressure `P_(3)=2 atm`. Draw a rough sketch of these changes. Calculate the value of `V_(2)//V_(1) and V_(3)//V_(2)`.
Take `gamma= 1.4`.