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Assertion (A): An ideal regenerative Ranking cycle power plant with saturated steam at the inlet to the turbine has same thermal efficiency as Carnot cycleworking between the same temperature limits . Reason (R): The change in entropy of steam during expansion in the turbine is equal to the change in entropy of the feed water during sensible heating at steam generator pressure.
- a)Both A and R are individually true and R is the correct explanation of A
- b)Both A and R are individually true but R is not the correct explanation of A
- c)A is true but R is false
- d)A is false but R is true
Correct answer is option 'A'. Can you explain this answer?
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Assertion (A): An ideal regenerative Rankingcycle power plant with sat...
The given assertion states that an ideal regenerative Ranking cycle power plant with saturated steam at the inlet to the turbine has the same thermal efficiency as a Carnot cycle working between the same temperature limits. The reason provided is that the change in entropy of steam during expansion in the turbine is equal to the change in entropy of the feed water during sensible heating at steam generator pressure.
Let's analyze the given assertion and reason:
Assertion (A): An ideal regenerative Ranking cycle power plant with saturated steam at the inlet to the turbine has the same thermal efficiency as a Carnot cycle working between the same temperature limits.
Reason (R): The change in entropy of steam during expansion in the turbine is equal to the change in entropy of the feed water during sensible heating at steam generator pressure.
To determine the validity of the assertion and reason, let's evaluate them individually:
Assertion (A): An ideal regenerative Ranking cycle power plant with saturated steam at the inlet to the turbine has the same thermal efficiency as a Carnot cycle working between the same temperature limits.
The Rankine cycle is a thermodynamic cycle commonly used in steam power plants. In an ideal regenerative Rankine cycle, the steam is extracted from the turbine at an intermediate pressure and used to heat the feedwater before entering the boiler. This process increases the average temperature at which heat is added to the cycle, resulting in a higher thermal efficiency compared to a basic Rankine cycle.
The Carnot cycle, on the other hand, is a theoretical thermodynamic cycle that operates between two temperature limits. It is the most efficient cycle possible for a heat engine. The thermal efficiency of the Carnot cycle is given by the formula: η = 1 - (Tc/Th), where Tc is the temperature at the low-temperature limit and Th is the temperature at the high-temperature limit.
The assertion states that the thermal efficiency of the regenerative Rankine cycle is the same as that of the Carnot cycle working between the same temperature limits. This assertion is true because the regenerative Rankine cycle, by extracting and reheating the steam, increases the average temperature at which heat is added to the cycle, approaching the efficiency of the Carnot cycle.
Reason (R): The change in entropy of steam during expansion in the turbine is equal to the change in entropy of the feed water during sensible heating at steam generator pressure.
The reason states that the change in entropy of steam during expansion in the turbine is equal to the change in entropy of the feedwater during sensible heating at steam generator pressure. This is true because in a reversible process, the change in entropy of a substance is the same regardless of the path taken. In the regenerative Rankine cycle, the steam expands in the turbine, undergoing a decrease in entropy. The same amount of entropy is then added to the feedwater during its sensible heating in the steam generator, resulting in an equal change in entropy.
Therefore, both the assertion and reason are individually true, and the reason provides a correct explanation for the assertion. Hence, option 'A' is the correct answer.
Let's analyze the given assertion and reason:
Assertion (A): An ideal regenerative Ranking cycle power plant with saturated steam at the inlet to the turbine has the same thermal efficiency as a Carnot cycle working between the same temperature limits.
Reason (R): The change in entropy of steam during expansion in the turbine is equal to the change in entropy of the feed water during sensible heating at steam generator pressure.
To determine the validity of the assertion and reason, let's evaluate them individually:
Assertion (A): An ideal regenerative Ranking cycle power plant with saturated steam at the inlet to the turbine has the same thermal efficiency as a Carnot cycle working between the same temperature limits.
The Rankine cycle is a thermodynamic cycle commonly used in steam power plants. In an ideal regenerative Rankine cycle, the steam is extracted from the turbine at an intermediate pressure and used to heat the feedwater before entering the boiler. This process increases the average temperature at which heat is added to the cycle, resulting in a higher thermal efficiency compared to a basic Rankine cycle.
The Carnot cycle, on the other hand, is a theoretical thermodynamic cycle that operates between two temperature limits. It is the most efficient cycle possible for a heat engine. The thermal efficiency of the Carnot cycle is given by the formula: η = 1 - (Tc/Th), where Tc is the temperature at the low-temperature limit and Th is the temperature at the high-temperature limit.
The assertion states that the thermal efficiency of the regenerative Rankine cycle is the same as that of the Carnot cycle working between the same temperature limits. This assertion is true because the regenerative Rankine cycle, by extracting and reheating the steam, increases the average temperature at which heat is added to the cycle, approaching the efficiency of the Carnot cycle.
Reason (R): The change in entropy of steam during expansion in the turbine is equal to the change in entropy of the feed water during sensible heating at steam generator pressure.
The reason states that the change in entropy of steam during expansion in the turbine is equal to the change in entropy of the feedwater during sensible heating at steam generator pressure. This is true because in a reversible process, the change in entropy of a substance is the same regardless of the path taken. In the regenerative Rankine cycle, the steam expands in the turbine, undergoing a decrease in entropy. The same amount of entropy is then added to the feedwater during its sensible heating in the steam generator, resulting in an equal change in entropy.
Therefore, both the assertion and reason are individually true, and the reason provides a correct explanation for the assertion. Hence, option 'A' is the correct answer.
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Assertion (A): An ideal regenerative Rankingcycle power plant with saturated steam attheinlet tothe turbinehassamethermal efficiency as Carnotcycleworking between the same temperature limits .Reason (R): The change in entropy of steam during expansion in the turbine is equal to the change in entropy of the feed water during sensible heating at steam generator pressure.a) Both A and R are individually true and R is the correct explanation of Ab) Both A and R are individually true but R is not the correct explanation of Ac) A is true but R is falsed) A is false but R is true Correct answer is option 'A'. Can you explain this answer?
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Assertion (A): An ideal regenerative Rankingcycle power plant with saturated steam attheinlet tothe turbinehassamethermal efficiency as Carnotcycleworking between the same temperature limits .Reason (R): The change in entropy of steam during expansion in the turbine is equal to the change in entropy of the feed water during sensible heating at steam generator pressure.a) Both A and R are individually true and R is the correct explanation of Ab) Both A and R are individually true but R is not the correct explanation of Ac) A is true but R is falsed) A is false but R is true Correct answer is option 'A'. 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 Assertion (A): An ideal regenerative Rankingcycle power plant with saturated steam attheinlet tothe turbinehassamethermal efficiency as Carnotcycleworking between the same temperature limits .Reason (R): The change in entropy of steam during expansion in the turbine is equal to the change in entropy of the feed water during sensible heating at steam generator pressure.a) Both A and R are individually true and R is the correct explanation of Ab) Both A and R are individually true but R is not the correct explanation of Ac) A is true but R is falsed) A is false but R is true Correct answer is option 'A'. 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 Assertion (A): An ideal regenerative Rankingcycle power plant with saturated steam attheinlet tothe turbinehassamethermal efficiency as Carnotcycleworking between the same temperature limits .Reason (R): The change in entropy of steam during expansion in the turbine is equal to the change in entropy of the feed water during sensible heating at steam generator pressure.a) Both A and R are individually true and R is the correct explanation of Ab) Both A and R are individually true but R is not the correct explanation of Ac) A is true but R is falsed) A is false but R is true Correct answer is option 'A'. Can you explain this answer?.
Assertion (A): An ideal regenerative Rankingcycle power plant with saturated steam attheinlet tothe turbinehassamethermal efficiency as Carnotcycleworking between the same temperature limits .Reason (R): The change in entropy of steam during expansion in the turbine is equal to the change in entropy of the feed water during sensible heating at steam generator pressure.a) Both A and R are individually true and R is the correct explanation of Ab) Both A and R are individually true but R is not the correct explanation of Ac) A is true but R is falsed) A is false but R is true Correct answer is option 'A'. 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 Assertion (A): An ideal regenerative Rankingcycle power plant with saturated steam attheinlet tothe turbinehassamethermal efficiency as Carnotcycleworking between the same temperature limits .Reason (R): The change in entropy of steam during expansion in the turbine is equal to the change in entropy of the feed water during sensible heating at steam generator pressure.a) Both A and R are individually true and R is the correct explanation of Ab) Both A and R are individually true but R is not the correct explanation of Ac) A is true but R is falsed) A is false but R is true Correct answer is option 'A'. 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 Assertion (A): An ideal regenerative Rankingcycle power plant with saturated steam attheinlet tothe turbinehassamethermal efficiency as Carnotcycleworking between the same temperature limits .Reason (R): The change in entropy of steam during expansion in the turbine is equal to the change in entropy of the feed water during sensible heating at steam generator pressure.a) Both A and R are individually true and R is the correct explanation of Ab) Both A and R are individually true but R is not the correct explanation of Ac) A is true but R is falsed) A is false but R is true Correct answer is option 'A'. Can you explain this answer?.
Solutions for Assertion (A): An ideal regenerative Rankingcycle power plant with saturated steam attheinlet tothe turbinehassamethermal efficiency as Carnotcycleworking between the same temperature limits .Reason (R): The change in entropy of steam during expansion in the turbine is equal to the change in entropy of the feed water during sensible heating at steam generator pressure.a) Both A and R are individually true and R is the correct explanation of Ab) Both A and R are individually true but R is not the correct explanation of Ac) A is true but R is falsed) A is false but R is true Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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ample number of questions to practice Assertion (A): An ideal regenerative Rankingcycle power plant with saturated steam attheinlet tothe turbinehassamethermal efficiency as Carnotcycleworking between the same temperature limits .Reason (R): The change in entropy of steam during expansion in the turbine is equal to the change in entropy of the feed water during sensible heating at steam generator pressure.a) Both A and R are individually true and R is the correct explanation of Ab) Both A and R are individually true but R is not the correct explanation of Ac) A is true but R is falsed) A is false but R is true Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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