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MMLU-Pro / 10302 / The interior of a refrigerator is typically held at 36^(∘)F and…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

The interior of a refrigerator is typically held at 36∘F36^{\circ} \mathrm{F} and the interior of a freezer is typically held at 0.00∘F0.00^{\circ} \mathrm{F}. If the room temperature is 65∘F65^{\circ} \mathrm{F}, by what factor is it more expensive to extract the same amount of heat from the freezer than from the refrigerator? Assume that the theoretical limit for the performance of a reversible refrigerator is valid in this case.
Plain-text mathematical notation (without MathML)
The interior of a refrigerator is typically held at 36^(∘)F and the interior of a freezer is typically held at 0.00^(∘)F. If the room temperature is 65^(∘)F, by what factor is it more expensive to extract the same amount of heat from the freezer than from the refrigerator? Assume that the theoretical limit for the performance of a reversible refrigerator is valid in this case.
Original LaTeX notation
The interior of a refrigerator is typically held at $36^{\circ} \mathrm{F}$ and the interior of a freezer is typically held at $0.00^{\circ} \mathrm{F}$. If the room temperature is $65^{\circ} \mathrm{F}$, by what factor is it more expensive to extract the same amount of heat from the freezer than from the refrigerator? Assume that the theoretical limit for the performance of a reversible refrigerator is valid in this case.

category

physics

options

  1. 3.2
  2. 2.0
  3. 1.2
  4. 2.7
  5. 3.5
  6. 2.4
  7. 4.0
  8. 1.5
  9. 5.0
  10. 1.8

src

scibench-thermo

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Source and history

upstream_id / Original problem ID
10302
task_id
b7a91a6a-83fd-577b-8d7d-f43873ec7015
task_key
default--test--10302
task_revision_id
1
config / split
default / test

Official source

initial import