(a) Air at 100kPa and 280K is compressed at steady-state to 600kPa and 400K. The mass flow rate of air is 0.02kg/s, and a heat loss from the compressor of 16kJ/kg occurs to the environment (a large heat sink at 15C ) during the process. Assuming the change in kinetic and potential energy are negligible, determine the necessary power input to the compressor, the change of entropy of the air, the change in entropy of the heat sink, and whether this proposed process violates the 1st or 2nd law. We know the enthalpies of the entering and leaving air at these conditions to be: hentering=h@280K=280.13kJ/kg hleaving=hG400K=400.98kJ/kg (b) If the compressor operates adiabatically to compress the same entering air to 600kPa, what would the outlet temperature be, and how much work would the compressor need to supply? If the adiabatic compressor is followed by a constant pressure heat exchanger, how much heat would it have to removed (or add) to return the air to 400K ? Assume air to be an ideal gas with a molecular weight of 29g/mole, and Cp=29.3J/( mole K)