[QUE/TH-07008] TH-PROBLEM

A cylinder closed at both ends with adiabatic walls, is divided into two parts by a movable piston. The piston is frictionless and adiabatic. Originally, the pressure, volume, and the temperature of the gas are the same, $(P_0,V_0,T_0)$, on the two sides of the piston. The gas is ideal gas with $C_v$ independent of $T$ and $\gamma=1.5$. By means of a heating coil on the left hand side, heat is slowly supplied to the gas on the left hand side until the pressure reaches ${27\over 8}P_0$.

1. what is the entropy change of the gas on the left?
2. what is the entropy change of the gas on the right?