An insulated floating piston divides a cylinder into two volumes each of 1 m3, as shown in Fig. P5.70. One contains water at 100C and the other air at 3C and both pressures are 200 kPa. A line with a safety valve that opens at 400 kPa is attached to the water side of the cylinder. Assume no heat transfer to the water and that the water is incompressible. Show possible air states in a P–v diagram, and find the air temperature when the safety valve opens. How much heat transfer is needed to bring the air to 1300 K?