GATE ME 2024 Set 1 — Question 21
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Thermodynamics → Power Cycles → Rankine, Reheat & Regenerative
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Question
Which one of the following statements regarding a Rankine cycle is FALSE?
Correct answer
(D) Cycle efficiency increases as boiler pressure decreases.
Solution
Analysis of Rankine cycle efficiency:
(A) Superheating: Increasing the temperature of steam at the turbine inlet increases the average temperature of heat addition, which increases the thermal efficiency. (True)
(B) Turbine outlet pressure: The steam is condensed in the condenser at a constant pressure, which is the saturation pressure corresponding to the condenser temperature. (True)
(C) Condenser pressure: Decreasing the condenser pressure lowers the temperature of heat rejection, which increases the thermal efficiency. (True)
(D) Boiler pressure: Increasing the boiler pressure increases the average temperature of heat addition, thereby increasing the cycle efficiency. Conversely, decreasing the boiler pressure decreases the efficiency. Therefore, the statement "Cycle efficiency increases as boiler pressure decreases" is FALSE. (False)
(A) Superheating: Increasing the temperature of steam at the turbine inlet increases the average temperature of heat addition, which increases the thermal efficiency. (True)
(B) Turbine outlet pressure: The steam is condensed in the condenser at a constant pressure, which is the saturation pressure corresponding to the condenser temperature. (True)
(C) Condenser pressure: Decreasing the condenser pressure lowers the temperature of heat rejection, which increases the thermal efficiency. (True)
(D) Boiler pressure: Increasing the boiler pressure increases the average temperature of heat addition, thereby increasing the cycle efficiency. Conversely, decreasing the boiler pressure decreases the efficiency. Therefore, the statement "Cycle efficiency increases as boiler pressure decreases" is FALSE. (False)
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