A gas trapped in a piston-cylinder device is heated (as shown in figure of problem 2-2-19 [EA]) from an initial temperature of 300 K. The initial load on the massless piston of area 0.2 m2 is such that the initial pressure of the gas is 200 kPa. When the temperature of the gas reaches 600 K, the piston velocity is measured as 0.5 m/s and dE/dt is measured as 30 kW. At that instant, determine
(a) The rate of external work transfer,
(b) The rate of heat transfer, and
(c) The load (in kg) on the piston at that instant. Assume the ambient atmospheric pressure to be 100 kPa.