benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--10245▌ posts · files
MMLU-Pro / 10245 / Water flows at a rate of 2.5 m^3 …
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
Water flows at a rate of 2.5 m^3 \textbullet s^-1 over a waterfall of height 15 m. What is the maximum difference in tem-perature between the water at the top and at the bottom of the waterfall and what usable power is going to waste? The density of water is 10^3 kg \textbullet m^-3 and its specific heat capacity is 10^3 cal \textbullet kg^-1 \textbullet C deg^-1.
category
physics
options
- 0.030°C and 307.5 kW
- 0.055°C and 567.5 kW
- 0.050°C and 507.5 kW
- 0.045°C and 476.5 kW
- 0.075°C and 767.5 kW
- 0.035°C and 367.5 kW
- 0.015°C and 167.5 kW
- 0.025°C and 267.5 kW
- 0.040°C and 407.5 kW
- 0.065°C and 667.5 kW
src
stemez-Physics
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Source and history
- upstream_id / Original problem ID
- 10245
- task_id
fd89387d-98dc-5010-9c54-cde4b74f2276- task_key
default--test--10245- task_revision_id
- 1
- config / split
- default / test
initial import