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A binary geothermal power plant uses geothermal water at 160o C as the heat source. The cycle operates on the simple Rankine cycle isobutene as the working fluid. Heat is transferred to the cycle by a heat exchanger in which geothermal liquid water enters at 160o C at a rate of 555.9 kg/s and leaves at 90o C. isobutene enters the turbine at 3.25 MPa and 147o C at a rate of 305.6 kg/s, and leaves at 79.5o C and 410 Kpa. Isobutene is condensed in an air-cooled condenser and pumped to the heat exchanger pressure. Assuming the pump to have an isentropic efficiency of 90 percent,
a) The isentropic efficiency of the turbine
b) The power output of the palnt
c) The thermal efficiency of the cycle
The schematic of a single-flash geothermal power plant with state numbers is given the figure below. Geothermal resource exists as a saturated liquid at 230o C. the geothermal liquid is withdrawn from the production well at a rate of 230 kg/s, and is flashed to a pressure of 500 Kpa by an essentially isenthalpic flashing process where the resulting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 ******* of 10 percent and enters the condensed and routed to a reinjection well along with the liquid coming off the separator.
a) The mass flow rate of the steam through the turbine.
b) The isentropic efficiency of the turbine.
c) The power output of turbine.
d) The thermal efficiency of the plant.
(The ratio of the turbine work output to the energy of the energy of the geothermal fluid relative to standard ambient conditions).