Nitrogen gas enters a diffuser at 100 kPa and 110 degrees C with a velocity of 205 m/s and leaves at a 110 kpa and 45 m/s. It is estimated that 2.5 kJ/kg of heat is lost from the diffuser to the surroundings at 100 kpa and 27 degrees C. The exit area of the diffuser is .04 m^2 . Accounting for the variation of the specific heats with temperature, determine:
a) the exit temperature
b) the rate of exergy destruction
c) the second law efficiency of the diffuser