The schematic of a single-flash geothermal power plant with state numbers is given in Fig. P10-65. Geothermal resource exists as saturated liquid at 230°C. The geothermal liquid is withdrawn from the production well at a rate of 230 kg/s and is flashed to a pressure of 500 kPa by an essentially isenthalpic flashing process where the resulting vapor is separated from the liquid in a separator and is directed to the turbine. The steam leaves the turbine at 10 kPa with a moisture content of 5 percent and enters the condenser where it is condensed; it is routed to a reinjection well along with the liquid coming off the separator. Determine (a) The power output of the turbine and the thermal efficiency of the plant,
(b) The exergy of the geothermal liquid at the exit of the flash chamber, and the exergy destructions and the second-law efficiencies for
(c) The turbine and
(d) The entire plant.