A pure jet engine operates on an ideal cycle. The pressure ratio is 13 and the turbine inlet temperature 830 K. Assuming air-standard conditions, the aircraft flying at a velocity of 240 m/s, and the condition of the air at the inlet of the diffuser 260 K and 45 kPa, determine the velocity at the nozzle exit and the thrust produced. Consider the diameter of the diffuser at the inlet equal to 1.6 m.