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MMLU-Pro / 9488 / An air conditioner is a refrigerator with the inside of the house acting as the…

Problem

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

question

An air conditioner is a refrigerator with the inside of the house acting as the cold reservoir and the outside atmosphere acting as the hot reservoir. Assume that an air conditioner consumes $1.70 \times 10^3 \mathrm{~W}$ of electrical power, and that it can be idealized as a reversible Carnot refrigerator. If the coefficient of performance of this device is 3.30 , how much heat can be extracted from the house in a day?
Plain-text mathematical notation (without MathML)
An air conditioner is a refrigerator with the inside of the house acting as the cold reservoir and the outside atmosphere acting as the hot reservoir. Assume that an air conditioner consumes $1.70 \times 10^3 \mathrm{~W}$ of electrical power, and that it can be idealized as a reversible Carnot refrigerator. If the coefficient of performance of this device is 3.30 , how much heat can be extracted from the house in a day?
Original LaTeX notation
An air conditioner is a refrigerator with the inside of the house acting as the cold reservoir and the outside atmosphere acting as the hot reservoir. Assume that an air conditioner consumes $1.70 \times 10^3 \mathrm{~W}$ of electrical power, and that it can be idealized as a reversible Carnot refrigerator. If the coefficient of performance of this device is 3.30 , how much heat can be extracted from the house in a day?

category

physics

options

  1. 5.50 $10^8 \mathrm{~J}$
  2. 5.10 $10^8 \mathrm{~J}$
  3. 2.50 $10^8 \mathrm{~J}$
  4. 6.00 $10^8 \mathrm{~J}$
  5. 6.50 $10^8 \mathrm{~J}$
  6. 3.20 $10^8 \mathrm{~J}$
  7. 4.85 $10^8 \mathrm{~J}$
  8. 7.20 $10^8 \mathrm{~J}$
  9. 3.85 $10^8 \mathrm{~J}$
  10. 4.00 $10^8 \mathrm{~J}$

src

scibench-thermo

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Source and history

upstream_id / Original problem ID
9488
task_id
ad868409-f59d-58fe-b01e-4498435187d7
task_key
default--test--9488
task_revision_id
1
config / split
default / test

Official source

initial import