Where necessary, assume air as an ideal gas and consider R = 287 J/(kg.K), Cp = 1005 J/(kg.K), Cv = 718 J/(kg.K). a) A nozzle is a device that is used to increase the velocity of a fluid by varying the cross-sectional area. At the last section of a jet engine, air with a mass flow rate of 50 kg/s at a pressure of 500 kPa and a temperature of 600 K enters a nozzle with an inlet cross-sectional area of 5m2 . The exit area of the nozzle is 20% of its inlet area. The air leaves the nozzle at a velocity of 300 m/s. The nozzle is not well-insulated and during this process, 5 kJ/kg heat is lost.   (i) In analysing this nozzle using the 1st law of thermodynamics, the change in which type of energy is negligible? (ii) Determine the density and velocity of the air entering the nozzle. (iii) Calculate the density of the air as it leaves the nozzle. (iv) Determine the temperature of the air as it leaves the nozzle. (v) Calculate the pressure of the air as it leaves the nozzle.