GATE ME 2016 Set 1 — Question 57
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Thermodynamics → Power Cycles → Rankine, Reheat & Regenerative
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Question
In a steam power plant operating on an ideal Rankine cycle, superheated steam enters the turbine at 3 MPa and 350 C. The condenser pressure is 75 kPa. The thermal efficiency of the cycle is ________ percent.Given data:
For saturated liquid, at , , ,
At 75 kPa, ,
At and (superheated steam), ,
For saturated liquid, at , , ,
At 75 kPa, ,
At and (superheated steam), ,
Correct answer
25.8 to 26.1
Solution
1.Turbine Inlet (State 1):
, From given data: ,
2.Turbine Outlet (State 2):
. For an ideal cycle, expansion is isentropic: 3.Condenser Outlet / Pump Inlet (State 3):
, saturated liquid.,
4.Pump Outlet / Boiler Inlet (State 4):
Pump work
5.Thermal Efficiency ():
The calculated efficiency is approximately , which falls within the range of 25.8 to 26.1.
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