You are working in the compressor design department of a large compressor manufacturer. As the new junior engineer, you have been assigned to a large project and you are responsible to do preliminary thermo-fluids design of a centrifugal air compressor that can supply 130.6kg/min of air at a final delivery total pressure of 323.7 kPa. The project manager has advised you to assume the ambient air conditions as P1 = 101.68 kPa and T1 = 22.6 oC. Further you have been given boundary conditions to help you with compressor design. You must assume that the compressor runs at 18,950 rpm with isentropic efficiency of 0.87. Also assume there is no pre-whirl at the inlet and the inlet hub diameter is 13.2 cm and the air enters the impeller eye with a velocity of 165.0 m/s. Assume the ratio of Vw2/U2 (whirl speed to tip speed) is 0.79. Assume the specific heat capacity of air cp = 1005.2 J/kg.K and cv = 718 J/kg.K. Determine the stagnation pressure at the inlet of the compressor (P01) in kPa. Answer to 2 decimals