benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--12113▌ posts · files
MMLU-Pro / 12113 / A rectangular section of a porous solid 0.5 in. thick is submergedin 100 %…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
A rectangular section of a porous solid 0.5 in. thick is submergedin 100 % ethanol. The voids of the solid compose50 % of its volume. The solid is removed from the ethanolafter thorough soaking and placed in an agitated tankof water at 80°F. Only molecular diffusion occurs in the pores, and the diffusivity inside the pores is approximately onetenth of its value outside the solid. What length of timeis requiredfor the mass fraction of ethanol at the center of the solidto drop to 0.008? Assume the concentration of ethanol inthe water phase is always zero.
category
engineering
options
- 1.00 min
- 4.00 min
- 0.10 min
- 0.50 min
- 3.00 min
- 0.75 min
- 0.126 min
- 0.25 min
- 2.00 min
- 1.50 min
src
stemez-TransportPhenomena
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Source and history
- upstream_id / Original problem ID
- 12113
- task_id
226b6e41-0a8e-52d9-a526-27a0a0af332c- task_key
default--test--12113- task_revision_id
- 1
- config / split
- default / test
initial import