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MMLU-Pro / 9058 / A cell is roughly spherical with a radius of 20.0 times 10^{-6} mathrm{~m}.…

Problem

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

question

A cell is roughly spherical with a radius of $20.0 \times 10^{-6} \mathrm{~m}$. Calculate the work required to expand the cell surface against the surface tension of the surroundings if the radius increases by a factor of three. Assume the cell is surrounded by pure water and that $T=298.15 \mathrm{~K}$.
Plain-text mathematical notation (without MathML)
A cell is roughly spherical with a radius of $20.0 \times 10^{-6} \mathrm{~m}$. Calculate the work required to expand the cell surface against the surface tension of the surroundings if the radius increases by a factor of three. Assume the cell is surrounded by pure water and that $T=298.15 \mathrm{~K}$.
Original LaTeX notation
A cell is roughly spherical with a radius of $20.0 \times 10^{-6} \mathrm{~m}$. Calculate the work required to expand the cell surface against the surface tension of the surroundings if the radius increases by a factor of three. Assume the cell is surrounded by pure water and that $T=298.15 \mathrm{~K}$.

category

physics

options

  1. 1.12 $10^{-9} \mathrm{~J}$
  2. 2.23 $10^{-9} \mathrm{~J}$
  3. 3.14 $10^{-9} \mathrm{~J}$
  4. 5.00 $10^{-9} \mathrm{~J}$
  5. 2.89 $10^{-9} \mathrm{~J}$
  6. 3.72 $10^{-9} \mathrm{~J}$
  7. 4.56 $10^{-9} \mathrm{~J}$
  8. 1.45 $10^{-9} \mathrm{~J}$
  9. 0.89 $10^{-9} \mathrm{~J}$
  10. 2.50 $10^{-9} \mathrm{~J}$

src

scibench-thermo

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Source and history

upstream_id / Original problem ID
9058
task_id
04919fea-fb9e-5dc5-9d55-797e3db429eb
task_key
default--test--9058
task_revision_id
1
config / split
default / test

Official source

initial import