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MMLU-Pro / 3740 / Assume that all gases are perfect and that data refer to 298.15 K unless…

Problem

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

question

Assume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. A sample consisting of $3.00 \mathrm{~mol}$ of diatomic perfect gas molecules at $200 \mathrm{~K}$ is compressed reversibly and adiabatically until its temperature reaches $250 \mathrm{~K}$. Given that $C_{V, \mathrm{~m}}=27.5 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$, calculate ΔU\Delta U.
Plain-text mathematical notation (without MathML)
Assume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. A sample consisting of $3.00 \mathrm{~mol}$ of diatomic perfect gas molecules at $200 \mathrm{~K}$ is compressed reversibly and adiabatically until its temperature reaches $250 \mathrm{~K}$. Given that $C_{V, \mathrm{~m}}=27.5 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$, calculate ΔU.
Original LaTeX notation
Assume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. A sample consisting of $3.00 \mathrm{~mol}$ of diatomic perfect gas molecules at $200 \mathrm{~K}$ is compressed reversibly and adiabatically until its temperature reaches $250 \mathrm{~K}$. Given that $C_{V, \mathrm{~m}}=27.5 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$, calculate $\Delta U$.

category

chemistry

options

  1. +5.8 kJ
  2. +6.3 kJ
  3. +2.5 kJ
  4. +3.0 kJ
  5. +3.7$\text{kJ}$
  6. +7.0 kJ
  7. +4.1$\text{kJ}$
  8. +5.2$\text{kJ}$
  9. +4.8$\text{kJ}$
  10. +4.5 kJ

src

scibench-atkins

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Source and history

upstream_id / Original problem ID
3740
task_id
2a94e32e-c317-5b87-a546-4b0aa0154abb
task_key
default--test--3740
task_revision_id
1
config / split
default / test

Official source

initial import