benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--12018▌ posts · files
MMLU-Pro / 12018 / A thick brick wall has a surface which experiences a daily temperature variation…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
A thick brick wall has a surface which experiences a daily temperature variation from 50°F to 130°F. The properties of the brick are: k = 0.4 Btu/hr. ft.^2(°F/ft) C_p = 0.3 Btu/lb. °F \rho = 120 lb/ft^3 \alpha = (k / c\rho) = 0.01111 ft^2/hr Assume the variation to be cosine in nature, and the cement between the bricks has the same properties as of the bricks. Find (a) the temperature lag at a point 4 in. below the surface; (b) the amplitude at this depth; (c) the temperature deviation from the mean after 3 hours; (d) the heat flow during the half period.
category
engineering
options
- (a) 6.37 hrs, (b) 11.74°F, (c) 13.84°F, (d) 700 Btu/hrft^2
- (a) 7.37 hrs, (b) 6.50°F, (c) 5.50°F, (d) 530 Btu/hrft^2
- (a) 4.00 hrs, (b) 8.50°F, (c) 9.50°F, (d) 550 Btu/hrft^2
- (a) 4.37 hrs, (b) 12.74°F, (c) 11.84°F, (d) 594 Btu/hrft^2
- (a) 5.37 hrs, (b) 10.74°F, (c) 10.84°F, (d) 500 Btu/hrft^2
- (a) 3.00 hrs, (b) 13.74°F, (c) 14.84°F, (d) 620 Btu/hrft^2
- (a) 6.00 hrs, (b) 7.74°F, (c) 6.84°F, (d) 560 Btu/hrft^2
- (a) 2.37 hrs, (b) 14.50°F, (c) 13.00°F, (d) 600 Btu/hrft^2
- (a) 3.37 hrs, (b) 15.74°F, (c) 12.84°F, (d) 650 Btu/hrft^2
- (a) 5.00 hrs, (b) 9.74°F, (c) 8.84°F, (d) 580 Btu/hrft^2
src
stemez-HeatTransfer
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Source and history
- upstream_id / Original problem ID
- 12018
- task_id
b08f433d-661b-5941-8b30-3f654d27610c- task_key
default--test--12018- task_revision_id
- 1
- config / split
- default / test
initial import