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 (Fig Q1.a, section 5), air with a mass flow rate of 50...

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 (Fig Q1.a, section 5), 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 5 m2. 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.

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).

Density of Air entering the nozzle already worked out as 2.9036kg/m^3

Velocity of Air entering the nozzle already worked out as 3.44m/s

Density of Air as it leaves the nozzle worked out as 166x10^3kg/m^3

(i) Determine the temperature and pressure of the air as it leaves the nozzle.