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Assertion (A): The first-law efficiency evaluates the energy quantity utilization, whereas the second-law efficiency evaluates the energy quality utilization.
Reason (R): The second-law efficiency for a process is defined as the ratio of change of available energy of the source to the change of available energy of the system.
Reason (R): The second-law efficiency for a process is defined as the ratio of change of available energy of the source to the change of available energy of the system.
- 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 'C'. Can you explain this answer?
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Understanding First-Law and Second-Law Efficiencies
The assertion (A) and reason (R) provided in the question relate to thermodynamic efficiencies, each with distinct meanings.
First-Law Efficiency (Assertion A)
- The first-law efficiency focuses on the quantity of energy utilized in a system.
- It measures how effectively the input energy is converted into useful work or output energy.
- For example, in power cycles, it evaluates the ratio of net work output to the heat input.
Second-Law Efficiency (Reason R)
- The second-law efficiency assesses the quality of energy utilization.
- It determines how much of the input energy can be converted into useful work, accounting for irreversibilities and entropy generation.
- Contrary to the assertion, R misstates the definition of second-law efficiency. It is actually defined as the ratio of the useful work output to the maximum possible work output (theoretical efficiency), not the change of available energy.
Conclusion: Why Option C is Correct
- The assertion (A) is indeed true as it correctly describes the first-law efficiency.
- However, the reason (R) is false because it inaccurately defines the second-law efficiency.
- Therefore, the correct choice is option 'C': A is true but R is false.
This distinction is crucial for understanding energy systems' performance, especially in mechanical engineering applications.
The assertion (A) and reason (R) provided in the question relate to thermodynamic efficiencies, each with distinct meanings.
First-Law Efficiency (Assertion A)
- The first-law efficiency focuses on the quantity of energy utilized in a system.
- It measures how effectively the input energy is converted into useful work or output energy.
- For example, in power cycles, it evaluates the ratio of net work output to the heat input.
Second-Law Efficiency (Reason R)
- The second-law efficiency assesses the quality of energy utilization.
- It determines how much of the input energy can be converted into useful work, accounting for irreversibilities and entropy generation.
- Contrary to the assertion, R misstates the definition of second-law efficiency. It is actually defined as the ratio of the useful work output to the maximum possible work output (theoretical efficiency), not the change of available energy.
Conclusion: Why Option C is Correct
- The assertion (A) is indeed true as it correctly describes the first-law efficiency.
- However, the reason (R) is false because it inaccurately defines the second-law efficiency.
- Therefore, the correct choice is option 'C': A is true but R is false.
This distinction is crucial for understanding energy systems' performance, especially in mechanical engineering applications.
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Assertion (A): The first-law efficiency evaluates the energy quantity utilization, whereas the second-law efficiency evaluates the energy quality utilization.Reason (R): The second-law efficiency for a process is defined as the ratio of change of available energy of the source to the change of available energy of the system.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 'C'. Can you explain this answer?
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Assertion (A): The first-law efficiency evaluates the energy quantity utilization, whereas the second-law efficiency evaluates the energy quality utilization.Reason (R): The second-law efficiency for a process is defined as the ratio of change of available energy of the source to the change of available energy of the system.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 'C'. 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): The first-law efficiency evaluates the energy quantity utilization, whereas the second-law efficiency evaluates the energy quality utilization.Reason (R): The second-law efficiency for a process is defined as the ratio of change of available energy of the source to the change of available energy of the system.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 'C'. 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): The first-law efficiency evaluates the energy quantity utilization, whereas the second-law efficiency evaluates the energy quality utilization.Reason (R): The second-law efficiency for a process is defined as the ratio of change of available energy of the source to the change of available energy of the system.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 'C'. Can you explain this answer?.
Assertion (A): The first-law efficiency evaluates the energy quantity utilization, whereas the second-law efficiency evaluates the energy quality utilization.Reason (R): The second-law efficiency for a process is defined as the ratio of change of available energy of the source to the change of available energy of the system.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 'C'. 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): The first-law efficiency evaluates the energy quantity utilization, whereas the second-law efficiency evaluates the energy quality utilization.Reason (R): The second-law efficiency for a process is defined as the ratio of change of available energy of the source to the change of available energy of the system.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 'C'. 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): The first-law efficiency evaluates the energy quantity utilization, whereas the second-law efficiency evaluates the energy quality utilization.Reason (R): The second-law efficiency for a process is defined as the ratio of change of available energy of the source to the change of available energy of the system.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 'C'. Can you explain this answer?.
Solutions for Assertion (A): The first-law efficiency evaluates the energy quantity utilization, whereas the second-law efficiency evaluates the energy quality utilization.Reason (R): The second-law efficiency for a process is defined as the ratio of change of available energy of the source to the change of available energy of the system.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 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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