Solve the below problem:
Q: Air flows isentropically in a converging-diverging nozzle with a throat area of 3 cm2. At section 1, the pressure is 101 kPa, T1 = 300 K, and V1 = 868 m/s.
(a) Is the nozzle choked? Determine
(b) A1; and
(c) The mass flow. Suppose, without changing stagnation conditions of A1, the flexible throat is reduced to 2 cm2. Assuming shock-free flow, will there be any changes in the gas properties at section 1? If so, calculate the new p1, V1, and T1 and explain.