A centrifugal compressor running at 16000 rpm takes in air at 17°C and compresses it through a pressure ratio of 4 with an isentropic efficiency of 82 percent. The blades are radially inclined and the slip factor is 0.85. Guide vanes at inlet given the air an angle of prewhirl of 20°C to the axial direction. The mean diameter of the impeller eye is 200 mm and the absolute air velocity at inlet is 120 m/s. Calculate the impeller tip diameter