(a) The volume of a sample of helium gas is increased by withdrawing the piston of the containing cylinder. The final pressure Pf is found to be equal to the initial pressure Pi times (Vi/Vf)1.2, Vi and Vf being the initial and final volumes. Assuming that the product PV is always equal to 32U, will (i) the energy and (ii) the entropy of the gas increase, remain constant or decrease during the process?
(b) If the process were reversible, how much would the work done and the heat added in doubling the volume of the gas be? Take Pi=1 atm and Vi=1 m3.