In the figure shown, a horizontal cylindrical tube connected to the vertical wall of a…

In the figure shown, a horizontal cylindrical tube connected to the vertical wall of a chamber of volume V, contains \(V_{0}\) volume of air at atmospheric pressure \(P_{0}\) and temperature \(T_{0}\) by means of a movable piston A and a valve B. In the beginning valve is closed and the chamber is evacuated. The valve gets opened and air starts leaking into the chamber very slowly. The volume \(V \gg V_{0}\). Take the molar heat capacity of air at constant volume equals \(\frac{5}{2} R,\) where R is universal gas constant. When air occupies the total volume of the chamber, (All walls and piston are made up of insulating material):