(15 pts) Suppose you would like to calculate how much heat is added to a system during an isenthalpic expansion, that is, when a gas expands at constant enthalpy, H. (a) Determine how the entropy changes (18' when you change the volume by an amount dV in such a process. Your answer should depend only on the heat capacity at constant pressure, Up, the coefcients oz and h: as well as the temperature T, volume V, and dV. (b) Assume an ideal gas undergoes this process; simplify your result to only depend upon the number of moles V, R, and V (and of course dV). (0) If the gas expands from V, to Vf, then calculate the heat added to the system