A large commercial jet aircraft is flying at Mach 0.8 at an altitude of 10 km. Air entering the intake of the aircraft's engine is slowed down to a velocity of 100 m/s. Assume that y= 1.4 and Cp = 1.007 kJ/(kg•K) for air. If this is an isentropic process, determine the static temperature and pressure of the air in the intake.

The inlet temperature of an air compressor is T₁=300°K and the outlet temperature is T2-500°K. The compressor operates at a mass flow rate of 0.093kg/sec and the heat lost during the compression is 10kJ/kg. Assume that the air is an ideal gas with Cp=1.004 kJ/(kg°K). Calculate the mechanical power needed to be provided to the compressor shaft. Present your answer in kilo- Watts (kJ/sec).

V1

An ideal gas passes a diffuser. At the diffuser inlet, the temperature is T1 = 350.00 K, the pressure P1 = 100.00 kPa, the velocity V1 = 200.00 m/s, and the inlet area A1 = 0.30 m2. At the exit, the velocity is very small. The specific heat of the ideal gas at the constant pressure is cp = 1.0050 kJ/(kg·K). The gas constant is R = 0.2870 kPa·m3/(kg·K).  Determine the enthalpy per unit mass at the exit, h2__________(kJ/kg)