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A Carnot engine operates between temperature 1000 K and 400 K. The heat rejected by the first Carnot engine is used by the second Carnot engine, whose sink temperature is 200 K. If the net heat absorbed by the first Carnot engine is 200 MJ. What is the heat rejected (in MJ) by the second Carnot engine?
- a)40
- b)50
- c)60
- d)70
Correct answer is option 'A'. Can you explain this answer?
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A Carnot engine operates between temperature 1000 K and 400 K. The hea...
First Carnot Engine:
- Temperature of the hot reservoir (source) = 1000 K
- Temperature of the cold reservoir (sink) = 400 K
- Net heat absorbed = 200 MJ
Applying the Carnot efficiency formula,
Efficiency = (1 - Tc/Th) × 100%
where
Efficiency is the ratio of work done to the heat absorbed,
Tc is the temperature of the cold reservoir, and
Th is the temperature of the hot reservoir.
Let's calculate the work done by the first Carnot engine:
- Heat absorbed by the first Carnot engine = 200 MJ
- Efficiency of the first Carnot engine = (1 - 400/1000) × 100% = 60%
- Work done by the first Carnot engine = Efficiency × Heat absorbed = 60/100 × 200 MJ = 120 MJ
Heat Rejected by the First Carnot Engine:
- Heat rejected = Heat absorbed - Work done = 200 MJ - 120 MJ = 80 MJ
Second Carnot Engine:
- Temperature of the hot reservoir (source) = 400 K
- Temperature of the cold reservoir (sink) = 200 K
Applying the Carnot efficiency formula,
Efficiency = (1 - Tc/Th) × 100%
Let's calculate the work done by the second Carnot engine:
- Heat absorbed by the second Carnot engine = Heat rejected by the first Carnot engine = 80 MJ
- Efficiency of the second Carnot engine = (1 - 200/400) × 100% = 50%
- Work done by the second Carnot engine = Efficiency × Heat absorbed = 50/100 × 80 MJ = 40 MJ
Heat Rejected by the Second Carnot Engine:
- Heat rejected = Heat absorbed - Work done = 80 MJ - 40 MJ = 40 MJ
Therefore, the heat rejected by the second Carnot engine is 40 MJ, which matches option A.
- Temperature of the hot reservoir (source) = 1000 K
- Temperature of the cold reservoir (sink) = 400 K
- Net heat absorbed = 200 MJ
Applying the Carnot efficiency formula,
Efficiency = (1 - Tc/Th) × 100%
where
Efficiency is the ratio of work done to the heat absorbed,
Tc is the temperature of the cold reservoir, and
Th is the temperature of the hot reservoir.
Let's calculate the work done by the first Carnot engine:
- Heat absorbed by the first Carnot engine = 200 MJ
- Efficiency of the first Carnot engine = (1 - 400/1000) × 100% = 60%
- Work done by the first Carnot engine = Efficiency × Heat absorbed = 60/100 × 200 MJ = 120 MJ
Heat Rejected by the First Carnot Engine:
- Heat rejected = Heat absorbed - Work done = 200 MJ - 120 MJ = 80 MJ
Second Carnot Engine:
- Temperature of the hot reservoir (source) = 400 K
- Temperature of the cold reservoir (sink) = 200 K
Applying the Carnot efficiency formula,
Efficiency = (1 - Tc/Th) × 100%
Let's calculate the work done by the second Carnot engine:
- Heat absorbed by the second Carnot engine = Heat rejected by the first Carnot engine = 80 MJ
- Efficiency of the second Carnot engine = (1 - 200/400) × 100% = 50%
- Work done by the second Carnot engine = Efficiency × Heat absorbed = 50/100 × 80 MJ = 40 MJ
Heat Rejected by the Second Carnot Engine:
- Heat rejected = Heat absorbed - Work done = 80 MJ - 40 MJ = 40 MJ
Therefore, the heat rejected by the second Carnot engine is 40 MJ, which matches option A.
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A Carnot engine operates between temperature 1000 K and 400 K. The heat rejected by the first Carnot engine is used by the second Carnot engine, whose sink temperature is 200 K. If the net heat absorbed by the first Carnot engine is 200 MJ. What is the heat rejected (in MJ) by the second Carnot engine?a)40b)50c)60d)70Correct answer is option 'A'. Can you explain this answer?
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A Carnot engine operates between temperature 1000 K and 400 K. The heat rejected by the first Carnot engine is used by the second Carnot engine, whose sink temperature is 200 K. If the net heat absorbed by the first Carnot engine is 200 MJ. What is the heat rejected (in MJ) by the second Carnot engine?a)40b)50c)60d)70Correct 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 A Carnot engine operates between temperature 1000 K and 400 K. The heat rejected by the first Carnot engine is used by the second Carnot engine, whose sink temperature is 200 K. If the net heat absorbed by the first Carnot engine is 200 MJ. What is the heat rejected (in MJ) by the second Carnot engine?a)40b)50c)60d)70Correct 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 A Carnot engine operates between temperature 1000 K and 400 K. The heat rejected by the first Carnot engine is used by the second Carnot engine, whose sink temperature is 200 K. If the net heat absorbed by the first Carnot engine is 200 MJ. What is the heat rejected (in MJ) by the second Carnot engine?a)40b)50c)60d)70Correct answer is option 'A'. Can you explain this answer?.
A Carnot engine operates between temperature 1000 K and 400 K. The heat rejected by the first Carnot engine is used by the second Carnot engine, whose sink temperature is 200 K. If the net heat absorbed by the first Carnot engine is 200 MJ. What is the heat rejected (in MJ) by the second Carnot engine?a)40b)50c)60d)70Correct 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 A Carnot engine operates between temperature 1000 K and 400 K. The heat rejected by the first Carnot engine is used by the second Carnot engine, whose sink temperature is 200 K. If the net heat absorbed by the first Carnot engine is 200 MJ. What is the heat rejected (in MJ) by the second Carnot engine?a)40b)50c)60d)70Correct 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 A Carnot engine operates between temperature 1000 K and 400 K. The heat rejected by the first Carnot engine is used by the second Carnot engine, whose sink temperature is 200 K. If the net heat absorbed by the first Carnot engine is 200 MJ. What is the heat rejected (in MJ) by the second Carnot engine?a)40b)50c)60d)70Correct answer is option 'A'. Can you explain this answer?.
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