Air enters a compressor operating at steady state at T1 = 320 K, p1= 2 bar with a velocity of 80 m/s. At the exit, T2 = 550 K, p2=10 bar and the velocity is 180 m/s. The air can be modeled as an ideal gas with cp 1.01 kJ/kg K. Stray heat transfer can be ignored. Let To= 300 K, po= 1 bar. Determine, in kJ per kg of air flowing:

a. the magnitude of the power required by the compressor.
b. the rate of exergy destruction within the compressor.