Question

A well-insulated turbine operating at steady state is sketched in Fig. below. Steam 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: i. the mass flow rate of the steam at the Inlet: kg/s. ii. the mass flow rate of the steam at the Exit 2: kg/h. iii. the mass flow rate of the steam at the Exit 3: kg/h. iv. the area of the duct through which steam is extracted, if the velocity there is 20 m/s. m² v. the diameter, in m, of the duct through which steam is extracted, if the velocity there is 20 m/s. m

          A well-insulated turbine operating at steady state is sketched in Fig. below. Steam 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:
i. the mass flow rate of the steam at the Inlet: kg/s.
ii. the mass flow rate of the steam at the Exit 2: kg/h.
iii. the mass flow rate of the steam at the Exit 3: kg/h.
iv. the area of the duct through which steam is extracted, if the velocity there is 20 m/s. m²
v. the diameter, in m, of the duct through which steam is extracted, if the velocity there is 20 m/s. m

A well-insulated turbine operating at steady state is sketched in Fig. below. Steam 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:
i. the mass flow rate of the steam at the Inlet: kg/s.
ii. the mass flow rate of the steam at the Exit 2: kg/h.
iii. the mass flow rate of the steam at the Exit 3: kg/h.
iv. the area of the duct through which steam is extracted, if the velocity there is 20 m/s. m²
v. the diameter, in m, of the duct through which steam is extracted, if the velocity there is 20 m/s. m

Added by Elaine G.

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