List of top Fluid Mechanics and Thermal Sciences Questions on Behavior of ideal and real gases

An object is moving with a Mach number of 0.6 in an ideal gas environment, which is at a temperature of 350 K. The gas constant is 320 J/kg.K and ratio of specific heats is 1.3. The speed of object is \(\underline{\hspace{1cm}}\) m/s (round off to the nearest integer).
Consider adiabatic flow of air through a duct. At a given point in the duct, velocity of air is 300 m/s, temperature is 330 K and pressure is 180 kPa. Assume that the air behaves as a perfect gas with constant \(c_p = 1.005 \, \text{kJ/kg.K}\). The stagnation temperature at this point is \(\underline{\hspace{1cm}}\) K (round off to two decimal places).