1. Air ( γ=1.4 ) flows isentropically through a convergent-divergent nozzle from a reservoir at 400 K. If it is desired to discharge the flow at Ma=2 and 101 kPa,
(a) What should be the pressure at the upstream reservoir?
(b) What would be the pressure at the throat?
(c) What should be the ratio of the discharge area to the throat area?
(d) If the diameter of the nozzle at the throat is 2 cm. What is the mass flow rate of air?
(e) At what temperature will the air exit the nozzle?
2. Ethylene gas is to be delivered through a 6-in Schedule 80 pipe for a distance of 5 miles at a mass flow rate of 1 kg/s. The delivery pressure at the discharge must be 15 psig. The flow can be considered isothermal at 60 degrees F. Assuming ideal gas behavior, what should be the inlet pressure?