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?

Question

Examsnet · Accepted Answer

Correct Answer is : P0A(L2 - L1)

GATE Mechanical Engineering (ME) 2023 Shift 1 Solved Paper