16. A centrifugal compressor has an impeller with 21 vanes, which are radial at exit, a vaneless diffuser and no inlet guide vanes. At inlet the stagnation pressure is 100 kPa abs. and the stagnation temperature is 13.00he reaction is 0.5, the absolute flow speed at impeller entry is 150 m/s and the diffuser efficiency is 84%. The total to total efficiency is 82%. (a) Given that the mass flow rate is 2.3 kg/s, the impeller tip speed is 500 m/s and the mechanical efficiency is 96%, determine the power (b) Determine the total and static pressures at diffuser exit when the velocity at that position is 100 m/s (c) Determine the total and static pressures, absolute Mach number and radial component of velocity at the impeller exit (d) Determine the total-to-total efficiency for the impeller (e) Estimate the inner/outer radius ratio for the diffuser assuming conservation of angular momentum (f) Find a suitable rotational speed for the impeller given an impeller tip width of 6 mm. [(a) 542.5 kW; (b) 536.5 kPa ; 518 kPa (c) 1.221; 244.1 kPa ; 608.2 kPa; 193.2 m/s (d) 0.899; (e) 0.220; (f) 31,770 rpm]