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MMLU-Pro / 7990 / Consider a tank used in certain hydrodynamic experiments. After one experiment…

Problem

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question

Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains $200 \mathrm{~L}$ of a dye solution with a concentration of $1 \mathrm{~g} / \mathrm{L}$. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in at a rate of $2 \mathrm{~L} / \mathrm{min}$, the well-stirred solution flowing out at the same rate. Find the time that will elapse before the concentration of dye in the tank reaches 1%1 \% of its original value.
Plain-text mathematical notation (without MathML)
Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains $200 \mathrm{~L}$ of a dye solution with a concentration of $1 \mathrm{~g} / \mathrm{L}$. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in at a rate of $2 \mathrm{~L} / \mathrm{min}$, the well-stirred solution flowing out at the same rate. Find the time that will elapse before the concentration of dye in the tank reaches 1% of its original value.
Original LaTeX notation
Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains $200 \mathrm{~L}$ of a dye solution with a concentration of $1 \mathrm{~g} / \mathrm{L}$. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in at a rate of $2 \mathrm{~L} / \mathrm{min}$, the well-stirred solution flowing out at the same rate. Find the time that will elapse before the concentration of dye in the tank reaches $1 \%$ of its original value.

category

math

options

  1. 460.5 min
  2. 520 min
  3. 690 min
  4. 600 min
  5. 385 min
  6. 345 min
  7. 300 min
  8. 500 min
  9. 550 min
  10. 420 min

src

scibench-diff

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Source and history

upstream_id / Original problem ID
7990
task_id
9b30559a-5b71-5952-a4f9-d220f3351987
task_key
default--test--7990
task_revision_id
1
config / split
default / test

Official source

initial import