Consider filling a gas cylinder with ethane from a high-pressure supply line. Before filling, the cylinder is empty. The valve is the opened. Exposing the tank to a 3-MPa line at 500 K until the pressure of the cylinder reaches 3 MPa. The valve is then closed. The volume of the cylinder is 50 L. For ethane, use the truncated virial equation of state, in pressure
z=Pv/RT=1+B^’ P,B^’=-2.8×〖10〗^(-8) m3J-1
(1) What is the temperature immediately after the valve is closed? (2) If the cylinder then sits in storage at 293 K for a long time, what is the entropy change of the universe?