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RSITY 2 1 3 100% Question 2 A steam power plant operates on an ideal reheat-regenerative Rankine cycle with one open feedwater heater (FWH), one closed feedwater heater and one reheater. The schematic of the power plant and the T-s diagram of the cycle are shown below. . 15 MPa 600C 9 11 Low-P High-P turbine turbine Boiler Reheater 10 15 MP ww 4 MPa V10 1-y-2 Pro = P = 4 MPa 600C 13 1 - 12 4 MPa 0.5 MPa Closed Open FWH FWH w 13 10 kPa 0.5 MPa 2 12 1-y- 10 kPa Mixing chamber 13 FCW Condenser Pump III Pump II Pump h13 = 2335.7 kJ/kg The specific enthalpies at the various states and the pump work per unit mass are: h; = 191.81 kJ/kg hs = 1087.4 kJ/kg hg = 3583.1 kJ/kg h2 = 192.30 kJ/kg h6 = 1087.4 kJ/kg hio = 3155.0 kl/kg ha = 640.09 kJ/kg hy = 1101.2 kJ/kg hii = 3674.9k/kg he = 643.92 kJ/kg hs = ? h12 = 3014.8 kl/kg Assuming steady operating conditions and negligible kinetic and potential effects, determine the following: a) the extracted steam fraction for the closed feedwater heater (v) and extracted steam fraction for the onen feedwater heater - 10 AM Pump III Pump 11 Pump! h13 = 2335.7 kJ/kg The specific enthalpies at the various states and the pump work per unit mass are: h = 191.81 kJ/kg hs = 1087.4 kJ/kg hg = 3583.1 kJ/kg h2 = 192.30 kJ/kg ho = 1087.4 kJ/kg hio = 3155.0 kJ/kg 13 = 640.09 kJ/kg h7 = 1101.2 kJ/kg hu = 3674.9 kJ/kg h4 = 643.92 kJ/kg hs = ? h12 = 3014.8 kJ/kg Assuming steady operating conditions and negligible kinetic and potential effects, determine the following: a) the extracted steam fraction for the closed feedwater heater (v) and extracted steam fraction for the open feedwater heater (-); b) the specific enthalpy at State 8, in kJ/kg; c) the rate of heat transfer to the working fluid passing through the boiler, in kl/kg; d) the rate of heat rejection, in kJ/kg; e) the thermal efficiency of the cycle; f) the total turbine work per unit mass, in kJ/kg; g) the total pump work per unit mass, in kJ/kg; h) the back work ratio of the cycle; and i) the mass flow rate of the condenser cooling water (cw), in kg/s, if the cooling water undergoes a temperature increase of 18 K and the total mass flow rate of the working fluid (min, ) is 50 kg/s. The I specific heat of the cooling water is assumed to be 4.179 kJ/kg K. Clearly state all your assumptions. Label each section of your work and underline or box your answers. SHOW ALL YOUR WORK! IF THERE IS AN ANSWER YOU CANNOT SOLVE FOR, ASSUME A VALUE AND CONTINUE. RSITY 2 1 3 100% Question 2 A steam power plant operates on an ideal reheat-regenerative Rankine cycle with one open feedwater heater (FWH), one closed feedwater heater and one reheater. The schematic of the power plant and the T-s diagram of the cycle are shown below. . 15 MPa 600C 9 11 Low-P High-P turbine turbine Boiler Reheater 10 15 MP ww 4 MPa V10 1-y-2 Pro = P = 4 MPa 600C 13 1 - 12 4 MPa 0.5 MPa Closed Open FWH FWH w 13 10 kPa 0.5 MPa 2 12 1-y- 10 kPa Mixing chamber 13 FCW Condenser Pump III Pump II Pump h13 = 2335.7 kJ/kg The specific enthalpies at the various states and the pump work per unit mass are: h; = 191.81 kJ/kg hs = 1087.4 kJ/kg hg = 3583.1 kJ/kg h2 = 192.30 kJ/kg h6 = 1087.4 kJ/kg hio = 3155.0 kl/kg ha = 640.09 kJ/kg hy = 1101.2 kJ/kg hii = 3674.9k/kg he = 643.92 kJ/kg hs = ? h12 = 3014.8 kl/kg Assuming steady operating conditions and negligible kinetic and potential effects, determine the following: a) the extracted steam fraction for the closed feedwater heater (v) and extracted steam fraction for the onen feedwater heater - 10 AM Pump III Pump 11 Pump! h13 = 2335.7 kJ/kg The specific enthalpies at the various states and the pump work per unit mass are: h = 191.81 kJ/kg hs = 1087.4 kJ/kg hg = 3583.1 kJ/kg h2 = 192.30 kJ/kg ho = 1087.4 kJ/kg hio = 3155.0 kJ/kg 13 = 640.09 kJ/kg h7 = 1101.2 kJ/kg hu = 3674.9 kJ/kg h4 = 643.92 kJ/kg hs = ? h12 = 3014.8 kJ/kg Assuming steady operating conditions and negligible kinetic and potential effects, determine the following: a) the extracted steam fraction for the closed feedwater heater (v) and extracted steam fraction for the open feedwater heater (-); b) the specific enthalpy at State 8, in kJ/kg; c) the rate of heat transfer to the working fluid passing through the boiler, in kl/kg; d) the rate of heat rejection, in kJ/kg; e) the thermal efficiency of the cycle; f) the total turbine work per unit mass, in kJ/kg; g) the total pump work per unit mass, in kJ/kg; h) the back work ratio of the cycle; and i) the mass flow rate of the condenser cooling water (cw), in kg/s, if the cooling water undergoes a temperature increase of 18 K and the total mass flow rate of the working fluid (min, ) is 50 kg/s. The I specific heat of the cooling water is assumed to be 4.179 kJ/kg K. Clearly state all your assumptions. Label each section of your work and underline or box your answers. SHOW ALL YOUR WORK! IF THERE IS AN ANSWER YOU CANNOT SOLVE FOR, ASSUME A VALUE AND CONTINUE