GATE ME 2022 Set 1 — Question 61
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Thermodynamics → Power Cycles → Rankine, Reheat & Regenerative
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Question
In a steam power plant based on Rankine cycle, steam is initially expanded in a high-pressure turbine. The steam is then reheated in a reheater and finally expanded in a low-pressure turbine. The expansion work in the high-pressure turbine is and in the low-pressure turbine is , whereas the pump work is . If the cycle efficiency is , the heat rejected in the condenser is ________ kJ/kg (round off to 2 decimal places).
Correct answer
2620 to 2630
Solution
Given data:
Expansion work in high-pressure turbine,
Expansion work in low-pressure turbine,
Pump work,
Cycle efficiency, Step 1: Calculate the net work output ():
Step 2: Calculate the heat supplied ():
Step 3: Calculate the heat rejected in the condenser ():
Rounding off to 2 decimal places, the heat rejected is .
Expansion work in high-pressure turbine,
Expansion work in low-pressure turbine,
Pump work,
Cycle efficiency, Step 1: Calculate the net work output ():
Step 2: Calculate the heat supplied ():
Step 3: Calculate the heat rejected in the condenser ():
Rounding off to 2 decimal places, the heat rejected is .
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