Compute the lettered questions given the information below. A steady, one-dimensional normal shock wave is created by an explosion and is propagating into still air with a velocity of 722 m/s. The still air is at a temperature and pressure of 294 K and 101 kPa. The wave is adiabatic and changes of potential energy are small. A consultant provides estimates that the pressure and temperature of the gas downstream of the shock wave are 472 K and 575 kPa and the gas velocity behind the wave relative to the unburned gas is 425 m/s, directed in the same direction as the wave. The air can be assumed to be a perfect gas with a gas constant of 287 J/kg-K and a specific ratio of 1.4. Please do the following: a) Compute and tabulate the static and stagnation pressures (kPa) and temperature (K), the static acoustic velocity (m/s) and the flow velocity (m/s) and Mach number of the flow upstream and downstream properties, relative to the wave. b) Determine whether the consultant's estimates satisfy conservation of mass. C) Determine whether the consultant's estimates satisfy conservation of momentum. d) Determine whether the consultant's estimates satisfy conservation of energy. e) Based on your results in (a) what is the gas velocity behind the wave, in absolute coordinates?