The stagnation pressure and temperature of air flowing past a probe are \(120 \mathrm{kPa}(\mathrm{abs})\) and \(100{ }^{\circ} \mathrm{C}\), respectively. The air pressure is \(80 \mathrm{kPa}(\mathrm{abs})\). Determine the airspeed and the Mach number considering the flow to be

(a) incompressible,

(b) compressible.