A cylinder with adiabatic walls is closed at both ends and is divided into two volumes by a frictionless piston that is also thermally insulating. Initially, the volume, pressure and temperature of the ideal gas in each in the right-hand volume is used to heat slowly the gas on that side until the pressure reaches 64p0/27. If the heat capacity Cv of the gas is independent of temperature, and Cp/Cv = γ = 1.5, find the following in terms of V0, p0 and T0:
(a) The entropy change of the gas on the left;
(b) The final left-hand volume;
(c) The final left-hand temperature’
(d) The final right-hand temperature;
(e) The work done on the gas on the left