JEE Exam > JEE Questions > A Carnot engine operates between two reservoi...
Start Learning for Free
A Carnot engine operates between two reservoirs of temperatures 900 K and 300 K. The engine performs 1,200 J of work per cycle. The heat energy (in J) delivered by the engine to the low temperature reservoir, in a cycle, is
Correct answer is '600'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A Carnot engine operates between two reservoirs of temperatures 900 K ...
Solution:
Given:
Temperature of high-temperature reservoir, Th = 900 K
Temperature of low-temperature reservoir, Tl = 300 K
Work done per cycle, W = 1200 J
We need to find the heat energy delivered by the engine to the low-temperature reservoir in a cycle.
We know that the efficiency of a Carnot engine is given by:
η = (Th - Tl)/Th
We can rearrange this expression to get:
Th/Tl = (Th-Tl)/W + 1
Substituting the given values, we get:
Th/Tl = (900-300)/1200 + 1 = 1.5
Solving for Tl, we get:
Tl = Th/1.5 = 900/1.5 = 600 K
Therefore, the heat energy delivered by the engine to the low-temperature reservoir in a cycle is given by:
Ql = W(1 - 1/Th/Tl) = 1200(1 - 1/1.5) = 600 J
Hence, the correct answer is 600 J.
Summary:
- Efficiency of a Carnot engine: η = (Th - Tl)/Th
- Th/Tl = (Th-Tl)/W + 1
- Tl = Th/1.5
- Ql = W(1 - 1/Th/Tl) = 1200(1 - 1/1.5) = 600 J
Given:
Temperature of high-temperature reservoir, Th = 900 K
Temperature of low-temperature reservoir, Tl = 300 K
Work done per cycle, W = 1200 J
We need to find the heat energy delivered by the engine to the low-temperature reservoir in a cycle.
We know that the efficiency of a Carnot engine is given by:
η = (Th - Tl)/Th
We can rearrange this expression to get:
Th/Tl = (Th-Tl)/W + 1
Substituting the given values, we get:
Th/Tl = (900-300)/1200 + 1 = 1.5
Solving for Tl, we get:
Tl = Th/1.5 = 900/1.5 = 600 K
Therefore, the heat energy delivered by the engine to the low-temperature reservoir in a cycle is given by:
Ql = W(1 - 1/Th/Tl) = 1200(1 - 1/1.5) = 600 J
Hence, the correct answer is 600 J.
Summary:
- Efficiency of a Carnot engine: η = (Th - Tl)/Th
- Th/Tl = (Th-Tl)/W + 1
- Tl = Th/1.5
- Ql = W(1 - 1/Th/Tl) = 1200(1 - 1/1.5) = 600 J
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
A Carnot engine operates between two reservoirs of temperatures 900 K and 300 K. The engine performs 1,200 J of work per cycle. The heat energy (in J) delivered by the engine to the low temperature reservoir, in a cycle, isCorrect answer is '600'. Can you explain this answer?
Question Description
A Carnot engine operates between two reservoirs of temperatures 900 K and 300 K. The engine performs 1,200 J of work per cycle. The heat energy (in J) delivered by the engine to the low temperature reservoir, in a cycle, isCorrect answer is '600'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A Carnot engine operates between two reservoirs of temperatures 900 K and 300 K. The engine performs 1,200 J of work per cycle. The heat energy (in J) delivered by the engine to the low temperature reservoir, in a cycle, isCorrect answer is '600'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A Carnot engine operates between two reservoirs of temperatures 900 K and 300 K. The engine performs 1,200 J of work per cycle. The heat energy (in J) delivered by the engine to the low temperature reservoir, in a cycle, isCorrect answer is '600'. Can you explain this answer?.
A Carnot engine operates between two reservoirs of temperatures 900 K and 300 K. The engine performs 1,200 J of work per cycle. The heat energy (in J) delivered by the engine to the low temperature reservoir, in a cycle, isCorrect answer is '600'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A Carnot engine operates between two reservoirs of temperatures 900 K and 300 K. The engine performs 1,200 J of work per cycle. The heat energy (in J) delivered by the engine to the low temperature reservoir, in a cycle, isCorrect answer is '600'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A Carnot engine operates between two reservoirs of temperatures 900 K and 300 K. The engine performs 1,200 J of work per cycle. The heat energy (in J) delivered by the engine to the low temperature reservoir, in a cycle, isCorrect answer is '600'. Can you explain this answer?.
Solutions for A Carnot engine operates between two reservoirs of temperatures 900 K and 300 K. The engine performs 1,200 J of work per cycle. The heat energy (in J) delivered by the engine to the low temperature reservoir, in a cycle, isCorrect answer is '600'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of A Carnot engine operates between two reservoirs of temperatures 900 K and 300 K. The engine performs 1,200 J of work per cycle. The heat energy (in J) delivered by the engine to the low temperature reservoir, in a cycle, isCorrect answer is '600'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A Carnot engine operates between two reservoirs of temperatures 900 K and 300 K. The engine performs 1,200 J of work per cycle. The heat energy (in J) delivered by the engine to the low temperature reservoir, in a cycle, isCorrect answer is '600'. Can you explain this answer?, a detailed solution for A Carnot engine operates between two reservoirs of temperatures 900 K and 300 K. The engine performs 1,200 J of work per cycle. The heat energy (in J) delivered by the engine to the low temperature reservoir, in a cycle, isCorrect answer is '600'. Can you explain this answer? has been provided alongside types of A Carnot engine operates between two reservoirs of temperatures 900 K and 300 K. The engine performs 1,200 J of work per cycle. The heat energy (in J) delivered by the engine to the low temperature reservoir, in a cycle, isCorrect answer is '600'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A Carnot engine operates between two reservoirs of temperatures 900 K and 300 K. The engine performs 1,200 J of work per cycle. The heat energy (in J) delivered by the engine to the low temperature reservoir, in a cycle, isCorrect answer is '600'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup