A power cycle operating steadily is shown below. The boiler (a heat exchanger to boil liquid water) produces steam at an absolute pressure of 20 MPa and a temperature of 600C (State 1). Steam leaving the boiler enters a high-pressure turbine (HPT) and expands to an absolute pressure of 4 MPa and temperature of 360 (State 2). A fraction of the steam (y) is extracted at State 2 and the remaining fraction of the steam (1 - y) expands in a low-pressure turbine (LPT) to an absolute pressure of 100 kPa and a quality of 92% (State 3). Steam leaving the LPT is cooled in a condenser and exits as saturated liquid at an absolute pressure of 100 kPa (State 4). Saturated liquid water leaving from the condenser is pumped to an absolute pressure of 4 MPa and a temperature of 100C (State 5) in a low-pressure pump (LPP). Liquid leaving the LPP (State 5) is mixed with the extracted steam (State 2) in a rigid, insulated mixing chamber. The mixed stream exits the mixing chamber as saturated liquid at an absolute pressure of 4 MPa (State 6). Saturated liquid water leaving from the mixing chamber is pumped to an absolute pressure of 20 MPa and a temperature of 255C (State 7) in a high-pressure pump (HPP) and is supplied to the boiler to heat it back in the boiler. Assume that both turbines and pumps are adiabatic. P = 20 MPa T = 600C steam Boiler HPT P, = 20 MPa T7= 255C Extracted Steam = P = 4 MPa T = 360C HPP ym steam Mixing Chamber LPT P54 MPa LPP P6= 4 MPa T5 = 100C sat. liquid Remaining Steam = (1-y)m steam P3= 100 kPa X3 = 0.92 Condenser P4 = 100 kPa sat. liquid (a) Determine the fraction of steam (y) extracted at State 2. (b) Find specific work (per unit mass flow rate leaving the boiler) for the HPT and LPT, in kJ/kg. (c) Calculate specific work (per unit mass flow rate leaving the boiler) for the LPP and HPP, in kJ/kg. (d) Find specific heat transfer for the boiler, in kJ/kg. (e) Calculate specific heat transfer (per unit mass flow rate leaving the boiler) for the condenser, in kJ/kg.