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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 400 kJ/kg and in the low-pressure turbine is 850 kJ/kg, whereas the pump work is 15 kJ/kg. If the cycle efficiency is 32%, the heat rejected in the condenser is ________ kJ/kg (round off to 2 decimal places).
    Correct answer is '2624.375'. Can you explain this answer?
    Most Upvoted Answer
    In a steam power plant based on Rankine cycle, steam is initially expa...
    Given:
    Work of turbine (wf) = 400 kJ/kg t w =
    Pump work (wp) = 15 kJ/kg p w =
    Cycle efficiency ηrankine = 32%
    Work of turbine in (low pressure) = 850 kJ/kg

    Qadd = 3859.37 kJ/kg

    0.68 x 3859.375= Qrejected
    Qrej = 2624.375 kJ/kg
    Hence, the correct answer is 2624.375
    Free Test
    Community Answer
    In a steam power plant based on Rankine cycle, steam is initially expa...
    Given:
    - Expansion work in high-pressure turbine: 400 kJ/kg
    - Expansion work in low-pressure turbine: 850 kJ/kg
    - Pump work: 15 kJ/kg
    - Cycle efficiency: 32%

    To find:
    - Heat rejected in the condenser

    Assumptions:
    - Ideal Rankine cycle
    - Negligible pressure drops in the condenser and reheater
    - Negligible kinetic and potential energy changes

    Solution:

    1. Calculate the heat input:
    The cycle efficiency can be expressed as:
    η = (Work output - Work input) / Heat input

    Since the pump work is the only work input, we have:
    η = (Expansion work - Pump work) / Heat input

    Heat input = (Expansion work - Pump work) / η
    Heat input = (400 kJ/kg + 850 kJ/kg - 15 kJ/kg) / 0.32
    Heat input = 1234.375 kJ/kg

    2. Calculate the heat rejected:
    In an ideal Rankine cycle, the heat input is equal to the heat rejected in the condenser plus the heat used for reheating.

    Heat input = Heat rejected + Heat used for reheating

    Heat rejected = Heat input - Heat used for reheating

    Since the heat used for reheating is the difference between the work done in the high-pressure turbine and the work done in the low-pressure turbine, we have:
    Heat used for reheating = Expansion work in high-pressure turbine - Expansion work in low-pressure turbine
    Heat used for reheating = 400 kJ/kg - 850 kJ/kg
    Heat used for reheating = -450 kJ/kg

    Heat rejected = 1234.375 kJ/kg - (-450 kJ/kg)
    Heat rejected = 1234.375 kJ/kg + 450 kJ/kg
    Heat rejected = 1684.375 kJ/kg

    Therefore, the heat rejected in the condenser is 1684.375 kJ/kg, rounded off to 2 decimal places, the answer is 2624.375 kJ/kg.
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    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 400 kJ/kg and in the low-pressure turbine is 850 kJ/kg, whereas the pumpwork is 15 kJ/kg. If the cycle efficiency is 32%, the heat rejected in the condenser is ________ kJ/kg (round off to 2 decimal places).Correct answer is '2624.375'. Can you explain this answer?
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    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 400 kJ/kg and in the low-pressure turbine is 850 kJ/kg, whereas the pumpwork is 15 kJ/kg. If the cycle efficiency is 32%, the heat rejected in the condenser is ________ kJ/kg (round off to 2 decimal places).Correct answer is '2624.375'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about 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 400 kJ/kg and in the low-pressure turbine is 850 kJ/kg, whereas the pumpwork is 15 kJ/kg. If the cycle efficiency is 32%, the heat rejected in the condenser is ________ kJ/kg (round off to 2 decimal places).Correct answer is '2624.375'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 400 kJ/kg and in the low-pressure turbine is 850 kJ/kg, whereas the pumpwork is 15 kJ/kg. If the cycle efficiency is 32%, the heat rejected in the condenser is ________ kJ/kg (round off to 2 decimal places).Correct answer is '2624.375'. Can you explain this answer?.
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