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A Carnot engine is working between 127°C and 27°C. The increase in efficiency will be maximum when the temperature of
- a)the source is increased by 50°C
- b)the sink is decreased by 50°C
- c)source is increased by 25°C and that of sink is decreased by 25°C
- d)both source and sink are decreased by 25°C each
Correct answer is option 'B'. Can you explain this answer?
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A Carnot engine is working between 127°C and 27°C. The increase in ef...
Introduction:
The efficiency of a Carnot engine is given by the formula:
Efficiency = 1 - (Tc/Th),
where Tc is the temperature of the cold reservoir (sink) and Th is the temperature of the hot reservoir (source).
Explanation:
To maximize the efficiency of a Carnot engine, we need to minimize the temperature of the cold reservoir (sink) and maximize the temperature of the hot reservoir (source).
Option A: The source is increased by 50°C
If the temperature of the source is increased by 50°C, the efficiency of the Carnot engine will decrease. This is because the increase in Th will result in a smaller difference between Th and Tc, leading to a decrease in efficiency. Therefore, option A is not the correct answer.
Option B: The sink is decreased by 50°C
If the temperature of the sink is decreased by 50°C, the efficiency of the Carnot engine will increase. This is because the decrease in Tc will result in a larger difference between Th and Tc, leading to an increase in efficiency. Therefore, option B is the correct answer.
Option C: Source is increased by 25°C and that of sink is decreased by 25°C
If the temperature of the source is increased by 25°C and the temperature of the sink is decreased by 25°C, the net effect on the efficiency of the Carnot engine will depend on the magnitudes of the temperature changes. Without specific values, it is not possible to determine the exact change in efficiency. Therefore, option C is not the correct answer.
Option D: Both source and sink are decreased by 25°C each
If both the temperature of the source and the temperature of the sink are decreased by 25°C each, the efficiency of the Carnot engine will decrease. This is because the decrease in both Th and Tc will result in a smaller difference between Th and Tc, leading to a decrease in efficiency. Therefore, option D is not the correct answer.
Conclusion:
To maximize the efficiency of a Carnot engine, the temperature of the sink should be decreased. Therefore, option B is the correct answer.
The efficiency of a Carnot engine is given by the formula:
Efficiency = 1 - (Tc/Th),
where Tc is the temperature of the cold reservoir (sink) and Th is the temperature of the hot reservoir (source).
Explanation:
To maximize the efficiency of a Carnot engine, we need to minimize the temperature of the cold reservoir (sink) and maximize the temperature of the hot reservoir (source).
Option A: The source is increased by 50°C
If the temperature of the source is increased by 50°C, the efficiency of the Carnot engine will decrease. This is because the increase in Th will result in a smaller difference between Th and Tc, leading to a decrease in efficiency. Therefore, option A is not the correct answer.
Option B: The sink is decreased by 50°C
If the temperature of the sink is decreased by 50°C, the efficiency of the Carnot engine will increase. This is because the decrease in Tc will result in a larger difference between Th and Tc, leading to an increase in efficiency. Therefore, option B is the correct answer.
Option C: Source is increased by 25°C and that of sink is decreased by 25°C
If the temperature of the source is increased by 25°C and the temperature of the sink is decreased by 25°C, the net effect on the efficiency of the Carnot engine will depend on the magnitudes of the temperature changes. Without specific values, it is not possible to determine the exact change in efficiency. Therefore, option C is not the correct answer.
Option D: Both source and sink are decreased by 25°C each
If both the temperature of the source and the temperature of the sink are decreased by 25°C each, the efficiency of the Carnot engine will decrease. This is because the decrease in both Th and Tc will result in a smaller difference between Th and Tc, leading to a decrease in efficiency. Therefore, option D is not the correct answer.
Conclusion:
To maximize the efficiency of a Carnot engine, the temperature of the sink should be decreased. Therefore, option B is the correct answer.
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A Carnot engine is working between 127°C and 27°C. The increase in efficiency will be maximum when the temperature ofa)the source is increased by 50°Cb)the sink is decreased by 50°Cc)source is increased by 25°C and that of sink is decreased by 25°Cd)both source and sink are decreased by 25°C eachCorrect answer is option 'B'. Can you explain this answer?
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A Carnot engine is working between 127°C and 27°C. The increase in efficiency will be maximum when the temperature ofa)the source is increased by 50°Cb)the sink is decreased by 50°Cc)source is increased by 25°C and that of sink is decreased by 25°Cd)both source and sink are decreased by 25°C eachCorrect answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A Carnot engine is working between 127°C and 27°C. The increase in efficiency will be maximum when the temperature ofa)the source is increased by 50°Cb)the sink is decreased by 50°Cc)source is increased by 25°C and that of sink is decreased by 25°Cd)both source and sink are decreased by 25°C eachCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A Carnot engine is working between 127°C and 27°C. The increase in efficiency will be maximum when the temperature ofa)the source is increased by 50°Cb)the sink is decreased by 50°Cc)source is increased by 25°C and that of sink is decreased by 25°Cd)both source and sink are decreased by 25°C eachCorrect answer is option 'B'. Can you explain this answer?.
A Carnot engine is working between 127°C and 27°C. The increase in efficiency will be maximum when the temperature ofa)the source is increased by 50°Cb)the sink is decreased by 50°Cc)source is increased by 25°C and that of sink is decreased by 25°Cd)both source and sink are decreased by 25°C eachCorrect answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A Carnot engine is working between 127°C and 27°C. The increase in efficiency will be maximum when the temperature ofa)the source is increased by 50°Cb)the sink is decreased by 50°Cc)source is increased by 25°C and that of sink is decreased by 25°Cd)both source and sink are decreased by 25°C eachCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A Carnot engine is working between 127°C and 27°C. The increase in efficiency will be maximum when the temperature ofa)the source is increased by 50°Cb)the sink is decreased by 50°Cc)source is increased by 25°C and that of sink is decreased by 25°Cd)both source and sink are decreased by 25°C eachCorrect answer is option 'B'. Can you explain this answer?.
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