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MMLU-Pro / 9884 / The osmotic pressure of an unknown substance is measured at 298 mathrm{~K}.…

Problem

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

question

The osmotic pressure of an unknown substance is measured at $298 \mathrm{~K}$. Determine the molecular weight if the concentration of this substance is $31.2 \mathrm{~kg} \mathrm{~m}^{-3}$ and the osmotic pressure is $5.30 \times 10^4 \mathrm{~Pa}$. The density of the solution is $997 \mathrm{~kg} \mathrm{~m}^{-3}$.
Plain-text mathematical notation (without MathML)
The osmotic pressure of an unknown substance is measured at $298 \mathrm{~K}$. Determine the molecular weight if the concentration of this substance is $31.2 \mathrm{~kg} \mathrm{~m}^{-3}$ and the osmotic pressure is $5.30 \times 10^4 \mathrm{~Pa}$. The density of the solution is $997 \mathrm{~kg} \mathrm{~m}^{-3}$.
Original LaTeX notation
The osmotic pressure of an unknown substance is measured at $298 \mathrm{~K}$. Determine the molecular weight if the concentration of this substance is $31.2 \mathrm{~kg} \mathrm{~m}^{-3}$ and the osmotic pressure is $5.30 \times 10^4 \mathrm{~Pa}$. The density of the solution is $997 \mathrm{~kg} \mathrm{~m}^{-3}$.

category

physics

options

  1. 0.95 $10^3 \mathrm{~g} \mathrm{~mol}^{-1}$
  2. 1.70 $10^3 \mathrm{~g} \mathrm{~mol}^{-1}$
  3. 1.78 $10^3 \mathrm{~g} \mathrm{~mol}^{-1}$
  4. 1.60 $10^3 \mathrm{~g} \mathrm{~mol}^{-1}$
  5. 1.05 $10^3 \mathrm{~g} \mathrm{~mol}^{-1}$
  6. 1.45 $10^3 \mathrm{~g} \mathrm{~mol}^{-1}$
  7. 1.33 $10^3 \mathrm{~g} \mathrm{~mol}^{-1}$
  8. 1.20 $10^3 \mathrm{~g} \mathrm{~mol}^{-1}$
  9. 1.25 $10^3 \mathrm{~g} \mathrm{~mol}^{-1}$
  10. 1.52 $10^3 \mathrm{~g} \mathrm{~mol}^{-1}$

src

scibench-thermo

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Source and history

upstream_id / Original problem ID
9884
task_id
241f8efc-e815-545e-aff2-06f61a1c717b
task_key
default--test--9884
task_revision_id
1
config / split
default / test

Official source

initial import