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MMLU-Pro / 3562 / 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. Consider a system consisting of $2.0 \mathrm{~mol} \mathrm{CO}_2(\mathrm{~g})$, initially at 25∘C25^{\circ} \mathrm{C} and $10 \mathrm{~atm}$ and confined to a cylinder of cross-section $10.0 \mathrm{~cm}^2$. It is allowed to expand adiabatically against an external pressure of 1.0 atm until the piston has moved outwards through $20 \mathrm{~cm}$. Assume that carbon dioxide may be considered a perfect gas with $C_{V, \mathrm{~m}}=28.8 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$ and calculate ΔS\Delta S.
Plain-text mathematical notation (without MathML)
Assume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. Consider a system consisting of $2.0 \mathrm{~mol} \mathrm{CO}_2(\mathrm{~g})$, initially at 25^(∘)C and $10 \mathrm{~atm}$ and confined to a cylinder of cross-section $10.0 \mathrm{~cm}^2$. It is allowed to expand adiabatically against an external pressure of 1.0 atm until the piston has moved outwards through $20 \mathrm{~cm}$. Assume that carbon dioxide may be considered a perfect gas with $C_{V, \mathrm{~m}}=28.8 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$ and calculate ΔS.
Original LaTeX notation
Assume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. Consider a system consisting of $2.0 \mathrm{~mol} \mathrm{CO}_2(\mathrm{~g})$, initially at $25^{\circ} \mathrm{C}$ and $10 \mathrm{~atm}$ and confined to a cylinder of cross-section $10.0 \mathrm{~cm}^2$. It is allowed to expand adiabatically against an external pressure of 1.0 atm until the piston has moved outwards through $20 \mathrm{~cm}$. Assume that carbon dioxide may be considered a perfect gas with $C_{V, \mathrm{~m}}=28.8 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$ and calculate $\Delta S$.

category

chemistry

options

  1. +0.30$\mathrm{J} \mathrm{K}^{-1}$
  2. +0.90$\mathrm{J} \mathrm{K} \mathrm{K}^{-1}$
  3. +0.60$\mathrm{J} \mathrm{K} \mathrm{K}^{-1}$
  4. +1.50$\mathrm{J} \mathrm{K}^{-1}$
  5. -0.60$\mathrm{J} \mathrm{K}^{-1}$
  6. +0.75$\mathrm{J} \mathrm{K} \mathrm{K}^{-1}$
  7. -0.90$\mathrm{J} \mathrm{K}^{-1}$
  8. +0.45$\mathrm{J} \mathrm{K} \mathrm{K}^{-1}$
  9. -0.75$\mathrm{J} \mathrm{K}^{-1}$
  10. +1.20$\mathrm{J} \mathrm{K}^{-1}$

src

scibench-atkins

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Source and history

upstream_id / Original problem ID
3562
task_id
584ea701-8255-5e4c-b632-08aa8ed6ff94
task_key
default--test--3562
task_revision_id
1
config / split
default / test

Official source

initial import