1.19 A perfect gas enclosed by an insulated (upright) cylinder and piston is in equilibrium at conditions pl , v1, T.. A weight is placed on the piston. After a number of oscillations, the motion subsides and the gas reaches a new equilibrium at conditions pg, 1);, T2. Find the temperature ratio T2/T1 in terms of the pressure ratio A = p2 / p1. Show that the 42 Applied Gas Dynamics change of entropy is given by 1+ (1/ nay/(1H) 1 S2S1=Rln[ y A Also show that, if the initial disturbance is small, that is, A : l + 8, 8