(II) Two samples of an ideal gas are initially at the same temperature and pressure. They are each compressed reversibly from a volume V to volume V/2, one isothermally, the other adiabatically. In which sample is the final pressure greater? Determine the change in entropy of the gas for each process by integration. What is the entropy change of the environment for each process? Entropy is a state variable. Why then don’t the two processes give the same ?S?