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The high-pressure turbine in a steam power plant has an inlet state of 3 MPa, 500°C....

The high-pressure turbine in a steam power plant has an inlet state of 3 MPa, 500°C. A 20% of the inlet mass flow is extracted from the turbine at a location where the pressure is 1 MPa and the temperature is 350°C. The remaining flow continuous to expand in the turbine, exiting the turbine at 2 bar, 200°C. Determine the:
(a) inlet and exit flow exergies per mass flow rate of the inlet flow,
(b) isentropic efficiency of the turbine,
(c) second-law efficiency of the turbine,
(d) exergy destructed in the turbine per mass flow rate of the inlet flow.

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Answer #1

a) Exergy E=H-TS

Inlet is 1, Intermediate extraction is 2 and Exit is 3 (in suffixes to steam properties')

If is the mass flow rate at inlet,

b) Work done by the turbine is

Work done in isentropic process is


Isentropic efficiency is

c) Second law Efficiency is ratio between Actual work to Exergy used

d)Exergy destruction per unit mass is =70kJ/kg

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