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A heat transformer is a device that transfers a part of the heat, supplied to itat an intermediate temperature , to a high temperature reservoir whilerejecting the remaining part to a low temperature heat sink. In such a heattransformer, 100 kJ of heat is supplied at 350 K. The maximum amount of heatin kJ that can be transferred to 400 K, when the rest is rejected to that can betransferred to 400 K, when rest is rejected to a heat sink at 300 K is 
  • a)
    12.50
  • b)
    14.29
  • c)
    33.33
  • d)
    57.14
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A heat transformer is a device that transfers a part of the heat, supp...

QH = 100 – 42.85 = 57.14 kJ
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A heat transformer is a device that transfers a part of the heat, supp...
Introduction:
A heat transformer is a device that transfers heat from a low temperature reservoir to a high temperature reservoir by utilizing an intermediate temperature. It operates on the principle of the Carnot cycle and can be used to achieve higher temperature differentials and higher efficiency compared to traditional heat engines.

Given:
- Heat supplied at an intermediate temperature (T1) = 100 kJ
- Temperature of heat supplied (T1) = 350 K
- Temperature of high temperature reservoir (T2) = 400 K
- Temperature of low temperature heat sink (T3) = 300 K

Calculating the maximum heat transfer:
The maximum amount of heat that can be transferred to the high temperature reservoir is given by the equation:

Q2 = Q1 x (T2 - T3) / (T1 - T3)

where:
Q1 = heat supplied at the intermediate temperature
T2 = temperature of the high temperature reservoir
T3 = temperature of the low temperature heat sink

Plugging in the values:
Q2 = 100 kJ x (400 K - 300 K) / (350 K - 300 K)
Q2 = 100 kJ x 100 K / 50 K
Q2 = 200 kJ

Answer:
The maximum amount of heat that can be transferred to the high temperature reservoir (400 K) while rejecting the remaining heat to the low temperature heat sink (300 K) is 200 kJ.

Explanation:
The heat transformer operates by extracting heat from a heat source (at an intermediate temperature) and transferring it to a high temperature reservoir, while rejecting the remaining heat to a low temperature heat sink. In this case, 100 kJ of heat is supplied at 350 K. The maximum amount of heat that can be transferred to the high temperature reservoir at 400 K is calculated using the equation mentioned above. The result is 200 kJ, which means that 200 kJ of heat can be transferred to the high temperature reservoir while the remaining heat is rejected to the low temperature heat sink. Therefore, the correct answer is option 'D' (57.14).
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Community Answer
A heat transformer is a device that transfers a part of the heat, supp...
D
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A heat transformer is a device that transfers a part of the heat, supplied to itat an intermediate temperature , to a high temperature reservoir whilerejecting the remaining part to a low temperature heat sink. In such a heattransformer, 100 kJ of heat is supplied at 350 K. The maximum amount of heatin kJ that can be transferred to 400 K, when the rest is rejected to that can betransferred to 400 K, when rest is rejected to a heat sink at 300 K isa)12.50b)14.29c)33.33d)57.14Correct answer is option 'D'. Can you explain this answer?
Question Description
A heat transformer is a device that transfers a part of the heat, supplied to itat an intermediate temperature , to a high temperature reservoir whilerejecting the remaining part to a low temperature heat sink. In such a heattransformer, 100 kJ of heat is supplied at 350 K. The maximum amount of heatin kJ that can be transferred to 400 K, when the rest is rejected to that can betransferred to 400 K, when rest is rejected to a heat sink at 300 K isa)12.50b)14.29c)33.33d)57.14Correct 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 A heat transformer is a device that transfers a part of the heat, supplied to itat an intermediate temperature , to a high temperature reservoir whilerejecting the remaining part to a low temperature heat sink. In such a heattransformer, 100 kJ of heat is supplied at 350 K. The maximum amount of heatin kJ that can be transferred to 400 K, when the rest is rejected to that can betransferred to 400 K, when rest is rejected to a heat sink at 300 K isa)12.50b)14.29c)33.33d)57.14Correct 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 A heat transformer is a device that transfers a part of the heat, supplied to itat an intermediate temperature , to a high temperature reservoir whilerejecting the remaining part to a low temperature heat sink. In such a heattransformer, 100 kJ of heat is supplied at 350 K. The maximum amount of heatin kJ that can be transferred to 400 K, when the rest is rejected to that can betransferred to 400 K, when rest is rejected to a heat sink at 300 K isa)12.50b)14.29c)33.33d)57.14Correct answer is option 'D'. Can you explain this answer?.
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