Consider a fully adiabatic piston-cylinder arrangement as shown in the figure. The piston is massless and cross-sectional area of the cylinder is A. The fluid inside the cylinder is air (considered as a perfect gas), with γ being the ratio of the specific heat at constant pressure to the specific heat at constant volume for air. The piston is initially located at a position L₁. The initial pressure of the air inside the cylinder is P₁>>P₀, where P₀ is the atmospheric pressure. The stop S₁ is instantaneously removed and the piston moves to the position L₂, where the equilibrium pressure of air inside the cylinder is P₂>>P₀.
What is the work done by the piston on the atmosphere during this process?