Question: A Rankine cycle with regeneration develops a net work output of 1000 Btu/s. Steam enters the first stage turbine at 1000psi and 1000F, where

A Rankine cycle with regeneration develops a network output of 1000 Btu/s. Steam enters the first stage turbine at 1000psi an

A Rankine cycle with regeneration develops a net work output of 1000 Btu/s. Steam enters the first stage turbine at 1000psi and 1000F, where it expands in the first turbine stage to a pressure of 200psi, where it enters a closed feedwater heater and condenses, exiting as a saturated liquid at 50psi. The remining steam is expanded in the second turbine stage to a pressure of 10psi. The feedwater exits the closed feedwater heater (at state 1) at the same temperature of the condensate at state 5. The isentropic efficiency of the first stage turbine is 100%, the isentropic efficiency of the second turbine is 90%, and the isentropic efficiency of the pump is 85%. Cooling water (designated with a "cw" in the figure) removes heat from the cycle, increasing in temperature from 50F to 63F, with a negligible pressure drop. The cooling water can be modeled as an incompressible substance with a constant specific heat of 1Btu/lbmR. (y) [(1- ) T1 = T5 0 x5 = 0 8 Closed FWH cWin pump Condenser cWout Determine the following. A. h1, h2, h3, h4, h5, h6, h7, and h8 (15 of 45 points. Please input your final answer in the box below) B. The fraction of steam extracted at state 4 (v) (6 of 45 points. Please input your final answer in the box below) C. Thermal efficiency (9 of 45 points. Please input your final answer in the box below) D. Required mass flow rate of the cooling water in kg/s (15 of 45 points. Please input your final answer in the box below) www Turbine i (High Pressure) Turbine i (Low Pressure)

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