The schematic of a single-flash geothermal power plant with state numbers is given in Fig. P7-73. Geothermal resource exists as saturated liquid at 230°C. The geothermal liquid is withdrawn from the production well at a rate of 230 kg/s, and is flashed to a pressure of 500 kPa by an essentially isenthalpic flashing process where the resulting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 directed to the turbine. The steam leaves the turbine at 10 kPa with a moisture content of 10 percent and enters the condenser where it is condensed and routed to a reinjection well along with the liquid coming off the separator. Determine (a) the mass flow rate of steam through the turbine, (b) the isentropic efficiency of the turbine, (c) the power output of the turbine, and (d) the thermal efficiency of the plant (the ratio of the turbine work output to the energy of the geothermal fluid relative to standard ambient conditions). The diagram illustrates a geothermal power generation process using a flash steam system. The components and stages of the process are as follows:1. **Production Well**: Hot water is extracted from the geothermal reservoir through the production well.2. **Flash Chamber**: The high-pressure hot water enters the flash chamber. Here, the pressure is reduced, causing some of the water to rapidly vaporize or "flash" into steam.3. **Separator**: The steam is separated from the remaining liquid water in the separator. The steam is routed to drive the steam turbine.4. **Steam Turbine**: The steam enters the turbine and expands, causing the turbine blades to spin. This mechanical energy is converted into electrical energy by a connected generator (not shown in the diagram).5. **Condenser**: After passing through the turbine, the steam is cooled and condensed back into liquid water in the condenser.6. **Reinjection Well**: The cooled water, along with the remaining liquid from the flash chamber, is pumped back into the geothermal reservoir through the reinjection well. This helps maintain the reservoir pressure and sustainability of the resource.This process efficiently uses geothermal energy to generate electricity while reinjecting the cooled water back into the earth to ensure continuous operation.

Answered: The schematic of a single-flash…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The schematic of a single-flash geothermal power plant with state numbers is given in Fig. P7-73. 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 directed to the turbine. The steam leaves the turbine at 10 kPa with a moisture content of 10 percent and enters the condenser where it is condensed and routed to a reinjection well along with the liquid coming off the separator. Determine (a) the mass flow rate of steam through the turbine, (b) the isentropic efficiency of the turbine, (c) the power output of the turbine, and (d) the thermal efficiency of the plant (the ratio of the turbine work output to the energy of the geothermal fluid relative to standard ambient conditions).