A man weighing 100 kg is standing on the piston head of a vertical piston-cylinder device containing nitrogen. The gas is now heated by an electrical heater until the man is slowly lifted by a height of 1 m. The piston is weightless and has an area of 1 m2. The outside pressure is 100 kPa. Determine
(a) The initial pressure inside the cylinder.
(b) The final pressure inside.
(c) The boundary work (magnitude only) performed by the piston-cylinder device (nitrogen is the system) assuming an average pressure of 101 kPa inside the cylinder during the heating process.
(d) The work (magnitude only) transferred to the man (man as the system). Assume the acceleration due to gravity to be 9.81 m/s2.