Ajoule-thomson valve expands steam at a rate of 18 kg/s from 700 °c and 300 bar to 100 bar. deter- mine the outlet temperature of the steam assuming steam is: (a) a real fluid following the steam tables in appendix a. iii of text. (b) a real fluid following the generalized peng robinson equation of state with c* = 40 j/(mol. k). note: maple's fsolve is needed for this part of the question. show all working and mathematical derivations clearly either on paper or on the maple worksheet. write final answers on paper and submit maple worksheet on learn. 4. (a) show that the internal energy departure function of a van der waals fluid can be written as: (u – vic), y = ï (b) show that the entropy departure function of a van der waals fluid can be written as: (8 - 949)y = rinfo) (c) a piston-cylinder, initially containing 200 mol of helium at 300 k and 0.1 mº, is expanded to 5 times its original volume by applying 1.5 mj of heat from a hot reservoir at 400 k. assuming helium is a van der waals fluid and with c* = 29 j/(mol·k), determine the maximum work that can be produced from this process. what is the final temperature of the gas?