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Which of the following is/are correct statement?
Select one or more:
Select one or more:
- a)All the reversible engines operating between same temperatures have same efficiency
- b)All reversible engines have always same efficiency
- c)Irreversible engines have maximum efficiency
- d)None
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Which of the following is/are correct statement?Select one or more:a)A...
All reversible engines have same efficiency only if they operate between same temperature and is given by 
The correct answer is: All the reversible engines operating between same temperatures have same efficiency
The correct answer is: All the reversible engines operating between same temperatures have same efficiency
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Which of the following is/are correct statement?Select one or more:a)A...
Statement: All the reversible engines operating between same temperatures have same efficiency.
Reversible engines are theoretical ideal engines that operate in a cycle and can be completely reversed. These engines are characterized by the fact that at each point in the cycle, they are in thermal equilibrium with their surroundings. This means that the engine can be operated in both directions with the same efficiency.
Explanation:
Reversible engines are useful in providing an upper limit for the efficiency of real engines. The Carnot cycle is an example of a reversible engine, and it provides the maximum possible efficiency for an engine operating between two temperatures.
The efficiency of an engine is defined as the ratio of the useful work output to the heat input. For a reversible engine operating between two temperatures, the efficiency can be calculated using the Carnot efficiency formula:
η = 1 - (Tc/Th)
where η is the efficiency, Tc is the temperature of the cold reservoir, and Th is the temperature of the hot reservoir.
Implication:
If two reversible engines are operating between the same temperatures, it means that Th and Tc are the same for both engines. Therefore, the efficiency of both engines will be the same according to the Carnot efficiency formula.
Conclusion:
Hence, statement a) "All the reversible engines operating between same temperatures have the same efficiency" is correct. This is a fundamental characteristic of reversible engines and is based on the principles of thermodynamics.
Additional Information:
- Reversible engines are idealized models and do not exist in reality. Real engines are always subject to various losses and inefficiencies.
- Irreversible engines are engines that do not operate in a cycle and cannot be completely reversed. They are characterized by energy losses, such as friction and heat transfer to the surroundings.
- Irreversible engines generally have lower efficiencies compared to reversible engines, as they are not able to extract as much useful work from the input heat.
Reversible engines are theoretical ideal engines that operate in a cycle and can be completely reversed. These engines are characterized by the fact that at each point in the cycle, they are in thermal equilibrium with their surroundings. This means that the engine can be operated in both directions with the same efficiency.
Explanation:
Reversible engines are useful in providing an upper limit for the efficiency of real engines. The Carnot cycle is an example of a reversible engine, and it provides the maximum possible efficiency for an engine operating between two temperatures.
The efficiency of an engine is defined as the ratio of the useful work output to the heat input. For a reversible engine operating between two temperatures, the efficiency can be calculated using the Carnot efficiency formula:
η = 1 - (Tc/Th)
where η is the efficiency, Tc is the temperature of the cold reservoir, and Th is the temperature of the hot reservoir.
Implication:
If two reversible engines are operating between the same temperatures, it means that Th and Tc are the same for both engines. Therefore, the efficiency of both engines will be the same according to the Carnot efficiency formula.
Conclusion:
Hence, statement a) "All the reversible engines operating between same temperatures have the same efficiency" is correct. This is a fundamental characteristic of reversible engines and is based on the principles of thermodynamics.
Additional Information:
- Reversible engines are idealized models and do not exist in reality. Real engines are always subject to various losses and inefficiencies.
- Irreversible engines are engines that do not operate in a cycle and cannot be completely reversed. They are characterized by energy losses, such as friction and heat transfer to the surroundings.
- Irreversible engines generally have lower efficiencies compared to reversible engines, as they are not able to extract as much useful work from the input heat.
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Which of the following is/are correct statement?Select one or more:a)All the reversible engines operating between same temperatures have same efficiencyb)All reversible engines have always same efficiencyc)Irreversible engines have maximum efficiencyd)NoneCorrect answer is option 'A'. Can you explain this answer?
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