Chapter 4, Problem 4.97P

A piston/cyl. setup like Fig. 4.96 is such that at $V=0$ the spring is relaxed and at $V=100{\text{cm}}^3$ the pressure to balance forces is 300 kPa. The line carries air at $\text{6}00\text{ K},\text{ 4}00\text{ kPa}$ and the atmosphere is at 100 kPa. The valve is opened and air flows in until the process stops and we assume the process is adiabatic. Find the final temperature and the air mass in the cylinder.