benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--9888▌ posts · files
MMLU-Pro / 9888 / A house near a lake is kept warm by a heat engine. In winter, water from beneath…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
A house near a lake is kept warm by a heat engine. In winter, water from beneath the ice covering the lake is pumped through the heat engine. Heat is extracted until the water is on the point of freezing when it is ejected. The outside air is used as a sink. Assume that the air temperature is -15 °C and the temperature of the water from the lake is 2°C. Calculate the rate at which water must be pumped to the engine. The efficiency of the engine is one-fifth that of a Carnot engine and the house requires 10 kW.
category
physics
options
- 125 liters/s
- 150 liters/s
- 90 liters/s
- 75 liters/s
- 102.4 liters/s
- 60 liters/s
- 250 liters/s
- 50 liters/s
- 180 liters/s
- 200 liters/s
src
stemez-Physics
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Source and history
- upstream_id / Original problem ID
- 9888
- task_id
7892e99e-dc7a-5c24-aa66-1bf0557597c5- task_key
default--test--9888- task_revision_id
- 1
- config / split
- default / test
initial import