Air flows isentropically through a duct to a section where \(p_{1}=25 \mathrm{kPa}, T_{1}=300 \mathrm{~K}\), and \(V_{1}=900 \mathrm{~m} / \mathrm{s}\). For these conditions:

(a) Determine the stagnation conditions for the flow.

(b) What is the Mach number at station 1? Show a \(T-s\) diagram displaying stagnation and static conditions.

(c) Is the flow choked? Is the throat behind or ahead of section 1? Label this state on the \(T-s\) diagram.