Conditions just prior to a standing normal shock in air are \(M_{1}=3.53\), with a temperature of \(650^{\circ} \mathrm{R}\) and a pressure of 12 psia.

(a) Compute the conditions that exist just after the shock.

(b) Show that these two points lie on the same Fanno line.

(c) Show that these two points lie on the same Rayleigh line.