Air flows through a converging-diverging nozzle/diffuser. Assuming isentropic flow, air as an ideal gas, and constant specific heats determine the state at several locations in the system.
Note: The specific heat ratio and gas constant for air are given as k=1.4 and R=0.287 kJ/kg-K respectively.
--Given Values--
Inlet Temperature: T1 (K) = 352
Inlet pressure: P1 (kPa) = 639
Inlet Velocity: V1 (m/s) = 86
Area at nozzle inlet: A1 (cm²) = 5.59
Throat area: A (cm²) = 2.29
Area at diffuser exit: A (cm²) = 2.98

a) Determine the Mach number at the inlet.