NEET Exam > NEET Questions > In a Carnot engine, efficiency is 40% at hot ...
Start Learning for Free
In a Carnot engine, efficiency is 40% at hot reservoir temperature T. For efficiency to be 50%, what shall be the temperature of the hot reservoir?
- a)T/5
- b)2T/5
- c)6T
- d)6T/5
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
In a Carnot engine, efficiency is 40% at hot reservoir temperature T. ...
The efficiency of a heat engine is defined as the ratio of work done to the heat supplied, i.e.,
where T2 is temperature of sink,
and T1 is temperature of hot reservoir.
Free Test
FREE
| Start Free Test |
Community Answer
In a Carnot engine, efficiency is 40% at hot reservoir temperature T. ...
Explanation:
Given:
Efficiency of the Carnot engine at hot reservoir temperature T = 40%
Formula:
Efficiency of a Carnot engine, E = 1 - (Tc/Th)
Where,
E = Efficiency
Tc = Temperature of the cold reservoir
Th = Temperature of the hot reservoir
Calculating the initial temperature of the hot reservoir:
Given, Efficiency (E) = 40%
Therefore, 0.4 = 1 - (Tc/T)
0.4 = 1 - (Th/T)
Th/T = 1 - 0.4
Th/T = 0.6
Th = 0.6T
Finding the new temperature for an efficiency of 50%:
To find the new temperature (Th') for an efficiency of 50%:
Efficiency (E') = 50% = 0.5
0.5 = 1 - (Tc/Th')
0.5 = 1 - (Th'/T)
Th'/T = 1 - 0.5
Th'/T = 0.5
Th' = 0.5T
Therefore, the temperature of the hot reservoir for an efficiency of 50% is 0.5T, which can also be represented as 6T/5. Hence, the correct answer is option 'D'.
Given:
Efficiency of the Carnot engine at hot reservoir temperature T = 40%
Formula:
Efficiency of a Carnot engine, E = 1 - (Tc/Th)
Where,
E = Efficiency
Tc = Temperature of the cold reservoir
Th = Temperature of the hot reservoir
Calculating the initial temperature of the hot reservoir:
Given, Efficiency (E) = 40%
Therefore, 0.4 = 1 - (Tc/T)
0.4 = 1 - (Th/T)
Th/T = 1 - 0.4
Th/T = 0.6
Th = 0.6T
Finding the new temperature for an efficiency of 50%:
To find the new temperature (Th') for an efficiency of 50%:
Efficiency (E') = 50% = 0.5
0.5 = 1 - (Tc/Th')
0.5 = 1 - (Th'/T)
Th'/T = 1 - 0.5
Th'/T = 0.5
Th' = 0.5T
Therefore, the temperature of the hot reservoir for an efficiency of 50% is 0.5T, which can also be represented as 6T/5. Hence, the correct answer is option 'D'.
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Top Courses for NEETView all
In a Carnot engine, efficiency is 40% at hot reservoir temperature T. For efficiency to be 50%, what shall be the temperature of the hot reservoir?a)T/5b)2T/5c)6Td)6T/5Correct answer is option 'D'. Can you explain this answer?
Question Description
In a Carnot engine, efficiency is 40% at hot reservoir temperature T. For efficiency to be 50%, what shall be the temperature of the hot reservoir?a)T/5b)2T/5c)6Td)6T/5Correct answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In a Carnot engine, efficiency is 40% at hot reservoir temperature T. For efficiency to be 50%, what shall be the temperature of the hot reservoir?a)T/5b)2T/5c)6Td)6T/5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a Carnot engine, efficiency is 40% at hot reservoir temperature T. For efficiency to be 50%, what shall be the temperature of the hot reservoir?a)T/5b)2T/5c)6Td)6T/5Correct answer is option 'D'. Can you explain this answer?.
In a Carnot engine, efficiency is 40% at hot reservoir temperature T. For efficiency to be 50%, what shall be the temperature of the hot reservoir?a)T/5b)2T/5c)6Td)6T/5Correct answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In a Carnot engine, efficiency is 40% at hot reservoir temperature T. For efficiency to be 50%, what shall be the temperature of the hot reservoir?a)T/5b)2T/5c)6Td)6T/5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a Carnot engine, efficiency is 40% at hot reservoir temperature T. For efficiency to be 50%, what shall be the temperature of the hot reservoir?a)T/5b)2T/5c)6Td)6T/5Correct answer is option 'D'. Can you explain this answer?.
Solutions for In a Carnot engine, efficiency is 40% at hot reservoir temperature T. For efficiency to be 50%, what shall be the temperature of the hot reservoir?a)T/5b)2T/5c)6Td)6T/5Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of In a Carnot engine, efficiency is 40% at hot reservoir temperature T. For efficiency to be 50%, what shall be the temperature of the hot reservoir?a)T/5b)2T/5c)6Td)6T/5Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In a Carnot engine, efficiency is 40% at hot reservoir temperature T. For efficiency to be 50%, what shall be the temperature of the hot reservoir?a)T/5b)2T/5c)6Td)6T/5Correct answer is option 'D'. Can you explain this answer?, a detailed solution for In a Carnot engine, efficiency is 40% at hot reservoir temperature T. For efficiency to be 50%, what shall be the temperature of the hot reservoir?a)T/5b)2T/5c)6Td)6T/5Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of In a Carnot engine, efficiency is 40% at hot reservoir temperature T. For efficiency to be 50%, what shall be the temperature of the hot reservoir?a)T/5b)2T/5c)6Td)6T/5Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In a Carnot engine, efficiency is 40% at hot reservoir temperature T. For efficiency to be 50%, what shall be the temperature of the hot reservoir?a)T/5b)2T/5c)6Td)6T/5Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup