GATE ME 2015 Set 1 — Question 65
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Thermodynamics → Power Cycles → Rankine, Reheat & Regenerative
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Question
Steam enters a well insulated turbine and expands isentropically throughout. At an intermediate pressure, 20 percent of the mass is extracted for process heating and the remaining steam expands isentropically to .Inlet to turbine: , , ,
Intermediate stage:
Exit of turbine: , , , , If the flow rate of steam entering the turbine is , then the work output (in MW) is ________.
Intermediate stage:
Exit of turbine: , , , , If the flow rate of steam entering the turbine is , then the work output (in MW) is ________.
Correct answer
123.56 to 127.56
Solution
The turbine is well insulated and expansion is isentropic (). Inlet mass flow rate . Extraction mass flow rate . Mass flow rate in the second stage .
Stage 1 work: .
For Stage 2, the exit state (3) is at and .
Dryness fraction at exit: .
Enthalpy at exit: .
Stage 2 work: .
Total work output: .
Stage 1 work: .
For Stage 2, the exit state (3) is at and .
Dryness fraction at exit: .
Enthalpy at exit: .
Stage 2 work: .
Total work output: .
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