Air at 500 kPa, 30oC from a supply line is used to fill an adiabatic tank. At a particular moment during the filling process, the tank contains 0.2 kg of air at 200 kPa and 50oC. If the mass flow rate is 0.1 kg/s, and the specific enthalpy of air at the inlet is 297.2 kJ/kg, determine
(a) The rate of flow energy into the tank.
(b) The rate of increase of internal energy in the tank.
(c) The rate of increase of specific internal energy if the specific internal energy in the tank is 224.5 kJ/kg at that instant. Assume the tank to be uniform at all times and neglect kinetic and potential energies.