Mechanical Engineering Exam > Mechanical Engineering Questions > Assertion (A): If a graph is plotted for abso...
Start Learning for Free
Assertion (A): If a graph is plotted for absolute temperature as a function of entropy, the area under the curve would give the amount of heat supplied.
Reason (R): Entropy represents the maximum fraction of work obtainable from heat per degree drop in temperature.
- a)Both A and R are individually true and R is the correct explanation of A
- b)Both A and R are individually true but R is NOT the correct explanation of A
- c)A is true but R is false
- d)A is false but R is true
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Assertion (A): If a graph is plotted for absolute temperature as a fun...
Explanation:
A) The statement is true because when a graph is plotted for absolute temperature as a function of entropy, the area under the curve would give the amount of heat supplied. The area under the curve represents the amount of energy transferred to the system in the form of heat.
R) The statement is also true because entropy represents the maximum fraction of work obtainable from heat per degree drop in temperature. This means that the entropy of a system is related to the amount of work that can be obtained from the system. Therefore, the area under the curve of a plot of absolute temperature versus entropy represents the amount of energy transferred to the system in the form of heat.
Explanation of Option B: Both statements A and R are true, and R is the correct explanation of A. The area under the curve of a plot of absolute temperature versus entropy represents the amount of energy transferred to the system in the form of heat, and this is related to the maximum fraction of work obtainable from heat per degree drop in temperature. Therefore, statement A is true, and statement R is the correct explanation of A.
A) The statement is true because when a graph is plotted for absolute temperature as a function of entropy, the area under the curve would give the amount of heat supplied. The area under the curve represents the amount of energy transferred to the system in the form of heat.
R) The statement is also true because entropy represents the maximum fraction of work obtainable from heat per degree drop in temperature. This means that the entropy of a system is related to the amount of work that can be obtained from the system. Therefore, the area under the curve of a plot of absolute temperature versus entropy represents the amount of energy transferred to the system in the form of heat.
Explanation of Option B: Both statements A and R are true, and R is the correct explanation of A. The area under the curve of a plot of absolute temperature versus entropy represents the amount of energy transferred to the system in the form of heat, and this is related to the maximum fraction of work obtainable from heat per degree drop in temperature. Therefore, statement A is true, and statement R is the correct explanation of A.
Free Test
FREE
| Start Free Test |
Community Answer
Assertion (A): If a graph is plotted for absolute temperature as a fun...
Assertion (A): The statement that a graph of absolute temperature as a function of entropy, where the area under the curve represents the amount of heat supplied, is true. This follows from the thermodynamic definition of entropy:
dQ = T dS
where dQ is the infinitesimal heat added to the system, T is the absolute temperature, and dS is the change in entropy. The integral of T dS over a process gives the total heat transferred to the system:
Q = ∫ T dS
Thus, the area under a T vs. S curve accurately represents the heat transferred.
Reason (R): The statement that entropy represents the maximum fraction of work obtainable from heat per degree drop in temperature is not entirely accurate. Entropy measures the dispersal of energy and the irreversibility of processes, not directly the work obtainable per degree of temperature drop. The concept closely related is the Carnot efficiency, which describes the maximum efficiency possible for a heat engine operating between two temperatures, but this involves entropy changes in the context of heat and temperature differences rather than a direct function of entropy alone.
Given this analysis:
- A is true based on the mathematical relationship between heat transfer and entropy.
- R is not a correct or direct explanation of A because it somewhat misinterprets the function of entropy in thermodynamics and its relation to work.
Therefore, the correct answer is:
B: Both A and R are individually true but R is NOT the correct explanation of A.
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
Assertion (A): If a graph is plotted for absolute temperature as a function of entropy, the area under the curve would give the amount of heat supplied.Reason (R): Entropy represents the maximum fraction of work obtainable from heat per degree drop in temperature.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'B'. Can you explain this answer?
Question Description
Assertion (A): If a graph is plotted for absolute temperature as a function of entropy, the area under the curve would give the amount of heat supplied.Reason (R): Entropy represents the maximum fraction of work obtainable from heat per degree drop in temperature.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'B'. 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 Assertion (A): If a graph is plotted for absolute temperature as a function of entropy, the area under the curve would give the amount of heat supplied.Reason (R): Entropy represents the maximum fraction of work obtainable from heat per degree drop in temperature.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'B'. 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 Assertion (A): If a graph is plotted for absolute temperature as a function of entropy, the area under the curve would give the amount of heat supplied.Reason (R): Entropy represents the maximum fraction of work obtainable from heat per degree drop in temperature.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'B'. Can you explain this answer?.
Assertion (A): If a graph is plotted for absolute temperature as a function of entropy, the area under the curve would give the amount of heat supplied.Reason (R): Entropy represents the maximum fraction of work obtainable from heat per degree drop in temperature.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'B'. 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 Assertion (A): If a graph is plotted for absolute temperature as a function of entropy, the area under the curve would give the amount of heat supplied.Reason (R): Entropy represents the maximum fraction of work obtainable from heat per degree drop in temperature.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'B'. 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 Assertion (A): If a graph is plotted for absolute temperature as a function of entropy, the area under the curve would give the amount of heat supplied.Reason (R): Entropy represents the maximum fraction of work obtainable from heat per degree drop in temperature.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Assertion (A): If a graph is plotted for absolute temperature as a function of entropy, the area under the curve would give the amount of heat supplied.Reason (R): Entropy represents the maximum fraction of work obtainable from heat per degree drop in temperature.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of Assertion (A): If a graph is plotted for absolute temperature as a function of entropy, the area under the curve would give the amount of heat supplied.Reason (R): Entropy represents the maximum fraction of work obtainable from heat per degree drop in temperature.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Assertion (A): If a graph is plotted for absolute temperature as a function of entropy, the area under the curve would give the amount of heat supplied.Reason (R): Entropy represents the maximum fraction of work obtainable from heat per degree drop in temperature.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Assertion (A): If a graph is plotted for absolute temperature as a function of entropy, the area under the curve would give the amount of heat supplied.Reason (R): Entropy represents the maximum fraction of work obtainable from heat per degree drop in temperature.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Assertion (A): If a graph is plotted for absolute temperature as a function of entropy, the area under the curve would give the amount of heat supplied.Reason (R): Entropy represents the maximum fraction of work obtainable from heat per degree drop in temperature.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Assertion (A): If a graph is plotted for absolute temperature as a function of entropy, the area under the curve would give the amount of heat supplied.Reason (R): Entropy represents the maximum fraction of work obtainable from heat per degree drop in temperature.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering 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!
within 7 days!
Takes less than 10 seconds to signup