Steam enters the turbine of a cogeneration plant at 6 MPa and 550°C. One-third of the steam is extracted from the turbine at 1400 kPa pressure for process heating. The remaining steam continues to expand to 20 kPa. The extracted steam is then condensed and mixed with feedwater at constant pressure and the mixture is pumped to the boiler pressure of 6 MPa. The mass flow rate of steam through the boiler is 30 kg/s. Disregarding any pressure drops and heat losses in the piping, and assuming the turbine and the pump to be isentropic, determine (a) the net power produced, (b) the utilization factor of the plant, (c) the exergy destruction associated with the process heating, and (d) the entropy generation associated with the process in the boiler. Assuming a source temperature of 1000 K and a sink temperature of 298 K.
Steam enters the turbine of a cogeneration plant at 6 MPa and 550°C. One-third of the steam is extracted
from the turbine at 1400 kPa pressure for process heating. The remaining steam continues to expand to
20 kPa. The extracted steam is then condensed and mixed with feedwater at constant pressure and the
mixture is pumped to the boiler pressure of 6 MPa. The mass flow rate of steam through the boiler is 30
kg/s. Disregarding any pressure drops and heat losses in the piping, and assuming the turbine and the
pump to be isentropic, determine (a) the net power produced, (b) the utilization factor of the plant, (c)
the exergy destruction associated with the process heating, and (d) the entropy generation associated
with the process in the boiler.
Assuming a source temperature of 1000 K and a sink temperature of 298 K.
![Turbine
Boiler
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Process
heater
Condenser](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa520eec6-b82e-4b85-a797-bc7697ee9d40%2F46b71acb-fc47-405f-9707-cfb15e3431e0%2F43km86v_processed.png&w=3840&q=75)
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