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MMLU-Pro / 3913 / 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. Calculate ΔS\Delta S (for the system) when the state of $3.00 \mathrm{~mol}$ of perfect gas atoms, for which $C_{p, \mathrm{~m}}=\frac{5}{2} R$, is changed from 25∘C25^{\circ} \mathrm{C} and 1.00 atm to 125∘C125^{\circ} \mathrm{C} and $5.00 \mathrm{~atm}$. How do you rationalize the sign\operatorname{sign} of 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. Calculate ΔS (for the system) when the state of $3.00 \mathrm{~mol}$ of perfect gas atoms, for which $C_{p, \mathrm{~m}}=\frac{5}{2} R$, is changed from 25^(∘)C and 1.00 atm to 125^(∘)C and $5.00 \mathrm{~atm}$. How do you rationalize the sign of ΔS?
Original LaTeX notation
Assume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. Calculate $\Delta S$ (for the system) when the state of $3.00 \mathrm{~mol}$ of perfect gas atoms, for which $C_{p, \mathrm{~m}}=\frac{5}{2} R$, is changed from $25^{\circ} \mathrm{C}$ and 1.00 atm to $125^{\circ} \mathrm{C}$ and $5.00 \mathrm{~atm}$. How do you rationalize the $\operatorname{sign}$ of $\Delta S$?

category

chemistry

options

  1. 25.7$\mathrm{J} \mathrm{K}^{-1}$
  2. 15.3$\mathrm{J} \mathrm{K}^{-1}$
  3. 10.5$\mathrm{J} \mathrm{K}^{-1}$
  4. 33.4$\mathrm{J} \mathrm{K}^{-1}$
  5. -30.7$\mathrm{J} \mathrm{K}^{-1}$
  6. -45.0$\mathrm{J} \mathrm{K}^{-1}$
  7. -60.2$\mathrm{J} \mathrm{K}^{-1}$
  8. -22.1$\mathrm{J} \mathrm{K}^{-1}$
  9. 5.8$\mathrm{J} \mathrm{K}^{-1}$
  10. -17.9$\mathrm{J} \mathrm{K}^{-1}$

src

scibench-atkins

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Source and history

upstream_id / Original problem ID
3913
task_id
9b553974-6bac-5eef-af49-cf2253676c72
task_key
default--test--3913
task_revision_id
1
config / split
default / test

Official source

initial import