For the nuclear option, you will install a pressurized water nuclear power plant to cover the energy consumption of 24 MWh/day. The schematic of the system is reported in Fig.2. The medium used in the primary circuit is pressurized water at 15 MPa. The energy produced by the nuclear reaction is transferred to the water flowing through the secondary channel at low pressure (8000 kPa), that is preheated and then converted to steam. The steam is sent to a turbine which drives a shaft connected to an 85% efficient generator. The equipment of the nuclear has the specifications given in Table 1 below. Table 2 reports the thermodynamic properties of the water according to temperature and pressure. Primary circuit Parameter TIN turbine TOUT turbine Table 1 Specifics of the Nuclear reactor OUT XVAP TIN reactor TOUT reactor Tooling water m cooling water condenser Odenser TOUT reactor Parameter OUT Pturbine TIN HVAP (100C) AHVAP (100C) HLIQ (100C) pturbine HVAP (295C) AHVAP (295C) HLIQ (295C) reactor Secondary circuit TIN IN Tturbine Pturbine TOUT turbine Table 2 Thermodynamic properties of the water OUT Pturbine TOUT Condenser TOUT mcooling water cooling water TIN mcooling water cooling water Figure 2 Pressurized water nuclear power plant condenser Description Temperature of vapor flow entering the turbine Temperature steam flow entering the turbine Fraction of vapor of the flow exiting the turbine Temperature of high-pressure water entering the reactor Temperature of high-pressure water exiting in the reactor Temperature of cooling water entering the condenser cooling water flow rate entering the condenser Temperature of steam flow exiting in the condenser Temperature of steam flow exiting in the condenser Description Pressure at the exit of the turbine Enthalpy of the steam at 100 C Vaporization enthalpy of the steam at 100 C Enthalpy of liquid water at 100 C Pressure at the entrance of the turbine Enthalpy of the steam at 295 C Vaporization enthalpy of the steam at 295 C Enthalpy of liquid water at 295 C Value 295 C 100 C 0.734 280 330 C 10 C 50 kg/s 100 C 40 Value 101.325 2675.6 2256.5 419.06 8000 2758.7 1441.6 1317.1 Unit [Hints: Item 1. Across the turbine the balance of energy is: HIN = W + HOUT Unit kPa kJ/kg kJ/kg kJ/kg kPa kJ/kg kJ/kg kJ/kg (3pts) Determine the water mass flow rate in the secondary circuit; b) (3pts) Determine the output temperature of the cooling water used in the condenser; c) (2pts) Assume that the nuclear plant costs 15000 HKD per installed kW. Calculate the total capital costs of the installed nuclear reactor; Item 2. To compute the energy of a flow rate with 2 phases (i.e. liquid and steam) apply the following formula: H = (1 xv)H} + xyH Item 3. Sensible heat: mi cp (TOUT T/N) (+ if flow increases its temperature, if - it decreases its temperature) Item 4. Vaporization heat of the water: QVAP = mwaterAHVAP (TVAP)