Air with a density of 0.45 kg/m3enters an experimental jet engine at rate of 180 m/s. Th...

Air with a density of 0.45 kg/m³enters an experimental jet engine at rate of 180 m/s. The inlet area of the engine is 5.0 ft². After fuel is burned, the air and combustion byproducts leave the engine with a velocity of 650 m/s through an outlet area of 4.0 ft². What is the average density of the gas exiting the engine? Express your answer in kg/m3, slugs /ft³, and lb_m/ft³.