Solve the following problem:
Q: A 30-ft high cylinder, cross-sectional area 1 ft2, has a mass less piston at the bottom with water at 70 F on top of it. Air at 540 R, volume 10 ft3 under the piston is heated so that the piston moves up, spilling the water out over the side. Find the total heat transfer to the air when all the water has been pushed out.