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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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Most Upvoted Answer
A Carnot engine operates between temperature 1000 K and 400 K. The hea...
Given:
Temperature of the source of the first Carnot engine, T1 = 1000 K
Temperature of the sink of the first Carnot engine, T2 = 400 K
Net heat absorbed by the first Carnot engine, Q1 = 200 MJ
Temperature of the sink of the second Carnot engine, T3 = 200 K
To find:
Heat rejected by the second Carnot engine, Q2
Assumption:
Carnot engine is a reversible engine.
Explanation:
1. Calculation of heat absorbed by the first Carnot engine:
The efficiency of the Carnot engine is given by,
Efficiency = (T1 - T2) / T1
Therefore, the heat absorbed by the first Carnot engine, Q1 can be calculated as,
Q1 = Efficiency * Heat input
Q1 = Efficiency * (Q1 + Q2) ---- equation (1)
Substituting the values,
Efficiency = (1000 - 400) / 1000 = 0.6
Q1 = 0.6 * (200 + Q2)
Solving for Q2,
Q1 / 0.6 - 200 = Q2
Q2 = 200 / 0.6 - 200 = 40 MJ
Therefore, the heat rejected by the second Carnot engine is 40 MJ, which is option A.
Temperature of the source of the first Carnot engine, T1 = 1000 K
Temperature of the sink of the first Carnot engine, T2 = 400 K
Net heat absorbed by the first Carnot engine, Q1 = 200 MJ
Temperature of the sink of the second Carnot engine, T3 = 200 K
To find:
Heat rejected by the second Carnot engine, Q2
Assumption:
Carnot engine is a reversible engine.
Explanation:
1. Calculation of heat absorbed by the first Carnot engine:
The efficiency of the Carnot engine is given by,
Efficiency = (T1 - T2) / T1
Therefore, the heat absorbed by the first Carnot engine, Q1 can be calculated as,
Q1 = Efficiency * Heat input
Q1 = Efficiency * (Q1 + Q2) ---- equation (1)
Substituting the values,
Efficiency = (1000 - 400) / 1000 = 0.6
Q1 = 0.6 * (200 + Q2)
Solving for Q2,
Q1 / 0.6 - 200 = Q2
Q2 = 200 / 0.6 - 200 = 40 MJ
Therefore, the heat rejected by the second Carnot engine is 40 MJ, which is option A.
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A Carnot engine operates between temperature 1000 K and 400 K. The hea...
Heat is directly proportional to the temperature
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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?.
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