A jet engine is being tested on a test stand. The inlet area to the diffuser is

Question:

A jet engine is being tested on a test stand. The inlet area to the diffuser is 0.2 m2 and air enters the diffuser at 90 kPa, 100 m/s. The pressure of the atmosphere is 100 kPa. The exit area of the engine is 0.1 m2, and the products of combustion leave the exit at a pressure of 130 kPa and a temperature of 1000 K. The air fuel ratio is 45 kg air/kg fuel, and the fuel enters with a low velocity. The mass flow rate of air entering the engine is 20 kg/s. Determine
(a) The inlet temperature,
(b) The exit velocity of combustion products and
(c) The thrust on the engine.