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MMLU-Pro / 9772 / A mass of 34.05 mathrm{~g} of H₂O(s) at …

Problem

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

question

A mass of $34.05 \mathrm{~g}$ of H2O(s)\mathrm{H}_2 \mathrm{O}(s) at $273 \mathrm{~K}$ is dropped into $185 \mathrm{~g}$ of H2O(l)\mathrm{H}_2 \mathrm{O}(l) at 310.K310 . \mathrm{K} in an insulated container at 1 bar of pressure. Calculate the temperature of the system once equilibrium has been reached. Assume that CP,mC_{P, m} for H2O(l)\mathrm{H}_2 \mathrm{O}(l) is constant at its values for $298 \mathrm{~K}$ throughout the temperature range of interest.
Plain-text mathematical notation (without MathML)
A mass of $34.05 \mathrm{~g}$ of H₂O(s) at $273 \mathrm{~K}$ is dropped into $185 \mathrm{~g}$ of H₂O(l) at 310.K in an insulated container at 1 bar of pressure. Calculate the temperature of the system once equilibrium has been reached. Assume that C_(P,m) for H₂O(l) is constant at its values for $298 \mathrm{~K}$ throughout the temperature range of interest.
Original LaTeX notation
A mass of $34.05 \mathrm{~g}$ of $\mathrm{H}_2 \mathrm{O}(s)$ at $273 \mathrm{~K}$ is dropped into $185 \mathrm{~g}$ of $\mathrm{H}_2 \mathrm{O}(l)$ at $310 . \mathrm{K}$ in an insulated container at 1 bar of pressure. Calculate the temperature of the system once equilibrium has been reached. Assume that $C_{P, m}$ for $\mathrm{H}_2 \mathrm{O}(l)$ is constant at its values for $298 \mathrm{~K}$ throughout the temperature range of interest.

category

physics

options

  1. 298 $\mathrm{~K}$
  2. 290 $\mathrm{~K}$
  3. 300 $\mathrm{~K}$
  4. 275 $\mathrm{~K}$
  5. 280 $\mathrm{~K}$
  6. 285 $\mathrm{~K}$
  7. 305 $\mathrm{~K}$
  8. 292$\mathrm{~K}$
  9. 315 $\mathrm{~K}$
  10. 273 $\mathrm{~K}$

src

scibench-thermo

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Source and history

upstream_id / Original problem ID
9772
task_id
be19bd04-9d43-57f8-9c39-f7c3bff9b7da
task_key
default--test--9772
task_revision_id
1
config / split
default / test

Official source

initial import