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MMLU-Pro / 4362 / Assume all gases are perfect unless stated otherwise. Note that 1 atm = 1.013 25…

Problem

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

question

Assume all gases are perfect unless stated otherwise. Note that 1 atm = 1.013 25 bar. Unless otherwise stated, thermochemical data are for 298.15 K. A sample consisting of $2.0 \mathrm{~mol} \mathrm{CO}_2$ occupies a fixed volume of 15.0dm315.0 \mathrm{dm}^3 at $300 \mathrm{~K}$. When it is supplied with $2.35 \mathrm{~kJ}$ of energy as heat its temperature increases to $341 \mathrm{~K}$. Assume that CO2\mathrm{CO}_2 is described by the van der Waals equation of state, and calculate ΔU\Delta U.
Plain-text mathematical notation (without MathML)
Assume all gases are perfect unless stated otherwise. Note that 1 atm = 1.013 25 bar. Unless otherwise stated, thermochemical data are for 298.15 K. A sample consisting of $2.0 \mathrm{~mol} \mathrm{CO}_2$ occupies a fixed volume of 15.0dm³ at $300 \mathrm{~K}$. When it is supplied with $2.35 \mathrm{~kJ}$ of energy as heat its temperature increases to $341 \mathrm{~K}$. Assume that CO₂ is described by the van der Waals equation of state, and calculate ΔU.
Original LaTeX notation
Assume all gases are perfect unless stated otherwise. Note that 1 atm = 1.013 25 bar. Unless otherwise stated, thermochemical data are for 298.15 K. A sample consisting of $2.0 \mathrm{~mol} \mathrm{CO}_2$ occupies a fixed volume of $15.0 \mathrm{dm}^3$ at $300 \mathrm{~K}$. When it is supplied with $2.35 \mathrm{~kJ}$ of energy as heat its temperature increases to $341 \mathrm{~K}$. Assume that $\mathrm{CO}_2$ is described by the van der Waals equation of state, and calculate $\Delta U$.

category

chemistry

options

  1. +3.00 kJ
  2. +3.50 kJ
  3. +2.85$\text{kJ}$
  4. +1.95 kJ
  5. +2.35$\text{kJ}$
  6. +1.35 kJ
  7. +2.00 kJ
  8. +2.65 kJ
  9. +1.85$\text{kJ}$
  10. +3.25$\text{kJ}$

src

scibench-atkins

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Source and history

upstream_id / Original problem ID
4362
task_id
66d8e41d-ea67-5798-ad62-008d309480c5
task_key
default--test--4362
task_revision_id
1
config / split
default / test

Official source

initial import