Steam with a mass flow rate of 200,000 lb/hr enters a well insulated turbine at 1100 psi, 900degreeF through a duct with a flow area of 1ft^2. A portion of the steam is extracted at p=130psi,T=380degreeF and exits through a 1 ft diameter duct at v=60ft/s. The remaining steam exits at an exhaust pressure of 1 psi with a quality of 90% and a velocity of 500ft/s. For the turbine find: a. the velocity at the turbine inlet. b. The portion of original mass flow extracted. c. the power produced by the turbine d. the diameter of the exhaust duct?