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One reversible heat engine operates between 1600 K and T2 K, and another reversible heat engine operates between T2K and 400 K. If both the engines have the same heat input and output, then the temperature T2 must be equal to:
- a)1000
- b)1200
- c)1400
- d)800
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
One reversible heat engine operates between 1600 K and T2 K, and anoth...
Two reversible heat engines operate between limits of
1600K and T2; T2 and 400K
Both have the same heat input and output
Most Upvoted Answer
One reversible heat engine operates between 1600 K and T2 K, and anoth...
Temperature of the first heat engine = 1600 K
Temperature of the second heat engine = 400 K
To find the temperature T2, we need to consider the efficiency of the heat engines.
Efficiency of a heat engine is given by the formula:
Efficiency = 1 - (T2 / T1)
where T1 is the temperature at which heat is absorbed and T2 is the temperature at which heat is rejected.
Let's assume that both engines have the same heat input and output, which means that the efficiency of both engines is the same.
So, the efficiency of the first heat engine is:
Efficiency1 = 1 - (T2 / 1600)
Similarly, the efficiency of the second heat engine is:
Efficiency2 = 1 - (400 / T2)
Since both engines have the same efficiency, we can equate the two expressions for efficiency:
1 - (T2 / 1600) = 1 - (400 / T2)
Simplifying the equation, we get:
T2 / 1600 = 400 / T2
Cross-multiplying:
T2^2 = 400 * 1600
Simplifying further:
T2^2 = 640000
Taking the square root of both sides:
T2 = 800
Therefore, the temperature T2 must be equal to 800 K.
Hence, the correct answer is option 'D'
Temperature of the second heat engine = 400 K
To find the temperature T2, we need to consider the efficiency of the heat engines.
Efficiency of a heat engine is given by the formula:
Efficiency = 1 - (T2 / T1)
where T1 is the temperature at which heat is absorbed and T2 is the temperature at which heat is rejected.
Let's assume that both engines have the same heat input and output, which means that the efficiency of both engines is the same.
So, the efficiency of the first heat engine is:
Efficiency1 = 1 - (T2 / 1600)
Similarly, the efficiency of the second heat engine is:
Efficiency2 = 1 - (400 / T2)
Since both engines have the same efficiency, we can equate the two expressions for efficiency:
1 - (T2 / 1600) = 1 - (400 / T2)
Simplifying the equation, we get:
T2 / 1600 = 400 / T2
Cross-multiplying:
T2^2 = 400 * 1600
Simplifying further:
T2^2 = 640000
Taking the square root of both sides:
T2 = 800
Therefore, the temperature T2 must be equal to 800 K.
Hence, the correct answer is option 'D'
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One reversible heat engine operates between 1600 K and T2 K, and another reversible heat engine operates between T2K and 400 K. If both the engines have the same heat input and output, then the temperature T2 must be equal to:a)1000b)1200c)1400d)800Correct answer is option 'D'. Can you explain this answer?
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One reversible heat engine operates between 1600 K and T2 K, and another reversible heat engine operates between T2K and 400 K. If both the engines have the same heat input and output, then the temperature T2 must be equal to:a)1000b)1200c)1400d)800Correct answer is option 'D'. 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 One reversible heat engine operates between 1600 K and T2 K, and another reversible heat engine operates between T2K and 400 K. If both the engines have the same heat input and output, then the temperature T2 must be equal to:a)1000b)1200c)1400d)800Correct answer is option 'D'. 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 One reversible heat engine operates between 1600 K and T2 K, and another reversible heat engine operates between T2K and 400 K. If both the engines have the same heat input and output, then the temperature T2 must be equal to:a)1000b)1200c)1400d)800Correct answer is option 'D'. Can you explain this answer?.
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