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An inventor claims to have constructed an engine that has an efficiency of 75% when operated between the boiling and freezing points of water. Which of the following is true?
- a)It is possible
- b)It is impossible
- c)It was possible if boiling point of water was 200°C
- d)It was possible freezing point of water was 10°C
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
An inventor claims to have constructed an engine that has an efficienc...
Understanding Engine Efficiency
In thermodynamics, the efficiency of an engine is determined by the temperatures of the heat source and sink. The maximum efficiency is defined by the Carnot efficiency formula, which is given by:
Efficiency = 1 - (T_sink / T_source)
Where:
- T_sink = absolute temperature of the cold reservoir (in Kelvin)
- T_source = absolute temperature of the hot reservoir (in Kelvin)
Analysis of the Claim
- The boiling point of water is 100°C (373 K) and the freezing point is 0°C (273 K).
- Using these temperatures in the Carnot efficiency formula, we can calculate the theoretical maximum efficiency.
Calculating Maximum Efficiency
- If we set the hot reservoir (boiling point) to 373 K and the cold reservoir (freezing point) to 273 K, the calculation would be:
Efficiency = 1 - (273/373) ≈ 0.27 or 27%
This indicates that the maximum efficiency for an engine operating between the boiling and freezing points of water is approximately 27%, significantly lower than the claimed 75%.
Conclusion
- Since no real engine can exceed the Carnot efficiency, the claim of 75% efficiency is impossible under these conditions.
- Therefore, the correct answer is option B: It is impossible to achieve an efficiency of 75% when operating between the boiling and freezing points of water.
In thermodynamics, the efficiency of an engine is determined by the temperatures of the heat source and sink. The maximum efficiency is defined by the Carnot efficiency formula, which is given by:
Efficiency = 1 - (T_sink / T_source)
Where:
- T_sink = absolute temperature of the cold reservoir (in Kelvin)
- T_source = absolute temperature of the hot reservoir (in Kelvin)
Analysis of the Claim
- The boiling point of water is 100°C (373 K) and the freezing point is 0°C (273 K).
- Using these temperatures in the Carnot efficiency formula, we can calculate the theoretical maximum efficiency.
Calculating Maximum Efficiency
- If we set the hot reservoir (boiling point) to 373 K and the cold reservoir (freezing point) to 273 K, the calculation would be:
Efficiency = 1 - (273/373) ≈ 0.27 or 27%
This indicates that the maximum efficiency for an engine operating between the boiling and freezing points of water is approximately 27%, significantly lower than the claimed 75%.
Conclusion
- Since no real engine can exceed the Carnot efficiency, the claim of 75% efficiency is impossible under these conditions.
- Therefore, the correct answer is option B: It is impossible to achieve an efficiency of 75% when operating between the boiling and freezing points of water.
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An inventor claims to have constructed an engine that has an efficiency of 75% when operated between the boiling and freezing points of water. Which of the following is true?a)It is possible b)It is impossiblec)It was possible if boiling point of water was 200°Cd)It was possible freezing point of water was 10°CCorrect answer is option 'B'. Can you explain this answer? for Chemistry 2025 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about An inventor claims to have constructed an engine that has an efficiency of 75% when operated between the boiling and freezing points of water. Which of the following is true?a)It is possible b)It is impossiblec)It was possible if boiling point of water was 200°Cd)It was possible freezing point of water was 10°CCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Chemistry 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An inventor claims to have constructed an engine that has an efficiency of 75% when operated between the boiling and freezing points of water. Which of the following is true?a)It is possible b)It is impossiblec)It was possible if boiling point of water was 200°Cd)It was possible freezing point of water was 10°CCorrect answer is option 'B'. Can you explain this answer?.
An inventor claims to have constructed an engine that has an efficiency of 75% when operated between the boiling and freezing points of water. Which of the following is true?a)It is possible b)It is impossiblec)It was possible if boiling point of water was 200°Cd)It was possible freezing point of water was 10°CCorrect answer is option 'B'. Can you explain this answer? for Chemistry 2025 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about An inventor claims to have constructed an engine that has an efficiency of 75% when operated between the boiling and freezing points of water. Which of the following is true?a)It is possible b)It is impossiblec)It was possible if boiling point of water was 200°Cd)It was possible freezing point of water was 10°CCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Chemistry 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An inventor claims to have constructed an engine that has an efficiency of 75% when operated between the boiling and freezing points of water. Which of the following is true?a)It is possible b)It is impossiblec)It was possible if boiling point of water was 200°Cd)It was possible freezing point of water was 10°CCorrect answer is option 'B'. Can you explain this answer?.
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