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MMLU-Pro / 3641 / The diffusion coefficient of a particular kind of t-RNA molecule is …

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

The diffusion coefficient of a particular kind of t-RNA molecule is $D=1.0 \times 10^{-11} \mathrm{~m}^2 \mathrm{~s}^{-1}$ in the medium of a cell interior. How long does it take molecules produced in the cell nucleus to reach the walls of the cell at a distance 1.0μm1.0 \mu \mathrm{m}, corresponding to the radius of the cell?
Plain-text mathematical notation (without MathML)
The diffusion coefficient of a particular kind of t-RNA molecule is $D=1.0 \times 10^{-11} \mathrm{~m}^2 \mathrm{~s}^{-1}$ in the medium of a cell interior. How long does it take molecules produced in the cell nucleus to reach the walls of the cell at a distance 1.0μm, corresponding to the radius of the cell?
Original LaTeX notation
The diffusion coefficient of a particular kind of t-RNA molecule is $D=1.0 \times 10^{-11} \mathrm{~m}^2 \mathrm{~s}^{-1}$ in the medium of a cell interior. How long does it take molecules produced in the cell nucleus to reach the walls of the cell at a distance $1.0 \mu \mathrm{m}$, corresponding to the radius of the cell?

category

chemistry

options

  1. 1.2 $10^{-2} \mathrm{~s}$
  2. 2.0 $10^{-2} \mathrm{~s}$
  3. 5.5 $10^{-2} \mathrm{~s}$
  4. 1.7 $10^{-2} \mathrm{~s}$
  5. 4.0 $10^{-2} \mathrm{~s}$
  6. 8.0 $10^{-2} \mathrm{~s}$
  7. 6.0 $10^{-2} \mathrm{~s}$
  8. 2.5 $10^{-2} \mathrm{~s}$
  9. 3.0 $10^{-2} \mathrm{~s}$
  10. 0.7 $10^{-2} \mathrm{~s}$

src

scibench-matter

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Source and history

upstream_id / Original problem ID
3641
task_id
280a4d07-6970-5f69-aaac-5b9df8c09b5b
task_key
default--test--3641
task_revision_id
1
config / split
default / test

Official source

initial import