You isothermally and reversibly expand propane in a piston cylinder device. The

initial T$,$ V$,$ and P are T $=400$K$,$ V $=2$ x$10^-3$ m$3,$ and P $=10$ MPa. The final

pressure is P $=5$ MPa. Find a$)$ the number of moles of propane, b$)$ the final volume,

c$)$ the amount of work into the propane, and d$)$ the amount of heat into the propane.

Use the Peng Robinson EOS