Air flows through a converging-diverging nozzle. The Mach number of airflow at the inlet of the nozzle

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Air flows through a converging-diverging nozzle. The Mach number of airflow at the inlet of the nozzle is \(M_{1}=0.75\), and the air condition is that at sea level at the inlet. The Mach number of the airflow at the outlet of the nozzle reaches \(M_{2}=1.3\).

(a) What is the speed of sound at the throat \(a_{c}\) ?

(b) What is the ratio of the cross-section area at the inlet to that at the throat?

(c) What is the airspeed and air temperature at the outlet of the nozzle?

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