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Three engines A, B and C operating on Carnot cycle use working substances as argon, oxygen and air, respectively. Which will have higher efficiency?
- a)Engine A
- b)Engine B
- c)Engine C
- d)All engines have same efficiency
Correct answer is option 'D'. Can you explain this answer?
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Three engines A, B and C operating on Carnot cycle use working substan...
The efficiency of reversible engine is independent of the working fluid
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Three engines A, B and C operating on Carnot cycle use working substan...
Explanation:
Carnot cycle is a theoretical cycle that has the maximum possible efficiency for a heat engine. The efficiency of a Carnot cycle depends only on the temperatures of the hot and cold reservoirs between which the engine operates. Therefore, the efficiency of all three engines A, B and C will be the same if they operate between the same temperature limits.
However, the efficiency of the Carnot cycle also depends on the working substance used in the engine. The efficiency of a Carnot cycle is given by:
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.
Since the working substances used in engines A, B and C are different, their efficiencies will be different if they operate between different temperature limits. Therefore, the efficiency of each engine will depend on the temperature limits between which it operates.
Conclusion:
Since the question does not provide any information about the temperature limits, we cannot determine which engine will have a higher efficiency. Therefore, the correct answer is option D, i.e., all engines have the same efficiency, given that they operate between the same temperature limits.
Carnot cycle is a theoretical cycle that has the maximum possible efficiency for a heat engine. The efficiency of a Carnot cycle depends only on the temperatures of the hot and cold reservoirs between which the engine operates. Therefore, the efficiency of all three engines A, B and C will be the same if they operate between the same temperature limits.
However, the efficiency of the Carnot cycle also depends on the working substance used in the engine. The efficiency of a Carnot cycle is given by:
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.
Since the working substances used in engines A, B and C are different, their efficiencies will be different if they operate between different temperature limits. Therefore, the efficiency of each engine will depend on the temperature limits between which it operates.
Conclusion:
Since the question does not provide any information about the temperature limits, we cannot determine which engine will have a higher efficiency. Therefore, the correct answer is option D, i.e., all engines have the same efficiency, given that they operate between the same temperature limits.
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Three engines A, B and C operating on Carnot cycle use working substances as argon, oxygen and air, respectively. Which will have higher efficiency?a)Engine Ab)Engine Bc)Engine Cd)All engines have same efficiencyCorrect answer is option 'D'. Can you explain this answer?
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