A total-pressure probe is placed in a supersonic wind tunnel where \(T=530^{\circ} \mathrm{R}\) and \(M=2.0\). A normal shock stands in front of the probe. Behind the shock, \(M_{2}=0.577\) and \(p_{2}=5.76\) psia. Find

(a) the downstream stagnation pressure and stagnation temperature and

(b) all fluid properties upstream from the shock. Show static and stagnation state points and the process path on a Ts diagram.