A 0.86 kg of saturated vapor steam contained within a piston-cylinder. Initially, the piston face is at x = 0, and the spring exerts no force on the piston. As a result of heat transfer, the steam expands, raising the piston until it hits the stops. At this point the piston face is located at x =0.12 m, and the heat transfer ceases. The force exerted by the spring on the piston as the gas expands varies linearly with x with a spring constant k = 15,000 N/m. Friction between the piston and the cylinder wall can be neglected. Consider the piston area as 0.012 m2, the piston mass as 61.16 kg, and atmospheric pressure as 100 kPa.
(a) What is the initial pressure of the steam?
(b) Determine the total work done by the steam.