A vertical cylinder fitted with a piston contains air initially at 120kPa and 100C. The piston is restrained by a set of stops. The piston diameter is 0.1m, its mass is 5kg, and the ambient pressure and temperature are 100kPa and 20C. The cylinder is then cooled as heat is transferred to the surroundings.
a) At what temperature does the piston fall below the stops?
b) How far down (as a fraction of its initial height) has the piston moved when the contents of the cylinder has cooled to the ambient temperature?