A well-insulated turbine operating at steady state with seam enters at 3 MPa, 400°C, with a volumetric flow rate of 85 m3/min. Some steam is extracted from the turbine at a pressure of 0.5 MPa and a temperature of 180°C. The rest expands to a pressure of 6 kPa and a quality of 90%. The total power developed by the turbine is 11,400 kW. Kinetic and potential energy effects can be neglected. Determine.
(a) the mass flow rate of the steam at each of the two exits, in kg/h.
(b) the diameter, in m, of the duct through which steam is extracted, if the velocity there is 20 m/s.