Nitrogen gas enters a diffuser at 100 kPa and 150°C with a velocity of 180 m/s, and leaves at 110 kPa and 25 m/s. It is estimated that 4.5 kJ/kg of heat is lost from the diffuser to the surroundings at 100 kPa and 27°C. The exit area of the diffuser is 0.06 m2. Accounting for the variation of the specific heats with temperature, determine
(a) The exit temperature,
(b) The rate of energy destruction, and
(c) The second-law efficiency of the diffuser.