Homework-Week #11 Submit on Gradescope ME 200-Thermodynamics I me200-Purdue Due by 11:59 p.m. EDT on November 3, 2023 HW-28 (See HW-17) A power cycle operating steadily is shown below. The boiler (a heat exchanger to boil liquid water) produces steam at an absolute pressure of 10 MPa and a temperature of 480C (State 1). Steam leaving the boiler enters a high-pressure turbine (HPT) and expands to an absolute pressure of 0.7 MPa and a quality of 98.5% (State 2). A fraction of the steam (y) is extracted at State 2 and the remaining fraction of the steam (1-y) at State 2 expands in a low-pressure turbine (LPT) to an absolute pressure of 6 kPa and a quality of 82% (State 3). Steam leaving the LPT is cooled in a condenser and exits as saturated liquid at an absolute pressure of 6 kPa (State 4). Saturated liquid water leaving from the condenser is pumped to an absolute pressure of 10 MPa and a temperature of 36.8C (State 5) in a pump. Liquid leaving the pump (State 5) is heated using the extracted steam (State 2) in a rigid and well-insulated heat exchanger to an absolute pressure of 10 MPa and a temperature of 164.95C (State 6) and is supplied to the boiler. Extracted steam (State 2) exits the heat exchanger as saturated liquid at an absolute pressure of 0.7 MPa (State 7) and is throttled to an absolute pressure of 6 kPa (State 8) feeding into the condenser. Assume that both turbines and pump are adiabatic. P = 10 MPa T = 480C myteam Steam Remaining Steam =(1-y)mteam P = 0.7 MPa x2 = 0.985 HPT LPT P3 = 6 kPa X3 = 0.82 Boiler P6=10 MPa T = 164.95C Extracted Steam = Heat Exchanger ym steam Ps = 10 MPa T5 = 36.8C Pump P4 = 6 kPa sat. liquid Condenser Extracted Steamym steam P = 0.7 MPa sat. liquid P = 6 kPa (a) Find the specific entropy generation (per unit mass flow rate leaving the boiler) for the HPT and LPT, in kJ/kg-K. (b) Calculate the specific entropy generation (per unit mass flow rate leaving the boiler) for the pump, in kJ/kg-K. (c) Determine the specific entropy generation (per unit mass flow rate leaving the boiler) for the condenser, in kJ/kg-K. Assume a constant boundary temperature of 27C for condenser heat transfer. (d) Find the specific entropy generation (per unit mass flow rate leaving the boiler) for throttling valve. (e) Show the cycle on T-s diagram and the appropriate lines of constant pressure for all th states and identify process directions with arrows. For water: Pcritical = 221 bar and Tcritical = )