Air flows isentropically through a duct. At section 1 the area is 0.05 m2 and V1=180 m/s, p1=500 kPa, and T1=470 K. Compute (a) T0, (b) Ma1, (c) p0, and (d) both A∗ and m˙. If at section 2 the area is 0.036 m2, compute Ma2 and p2 if the flow is (e) subsonic or (f) supersonic. Assume k=1.4.