Air enters a steady state compressor (state 1a) at 1.36 bar and 32ºC, with a volumetric flow rate (AV)1a of 0.62 m^3/s. The air exits the compressor (state 2a) with a volumetric flow rate (AV)2a of 0.16 m^3/s. Meanwhile, cooling water circulating through a water jacket enclosing the compressor experiences a temperature rise of T(4w)-T(3w)=12K from inlet to exit with a negligible change in pressure and a water mass flow rate of 1.4 kg/s. Heat transfer from the outside of the water jacket to the surroundings and all kinetic and potential energy effects can be neglected. (Note that the air in the compressor and the water in the cooling jacket do not mix with each other.) a) List all assumptions/observations. b) Calculate the mass flow rate of the air through the compressor [kg/s]. c) Calculate the density of air at state 2a [kg/m^3]. d) If the power required to operate the compressor is -155kW, calculate the pressure of the air as it exits the compressor (P2a) [bars]. e) Calculate the heat transfer rate from the compressor to the cooling water [kW].