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MMLU-Pro / 4272 / Assume all gases are perfect unless stated otherwise. Unless otherwise stated,…

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. Unless otherwise stated, thermodynamic data are for 298.15 K. When $229 \mathrm{~J}$ of energy is supplied as heat to $3.0 \mathrm{~mol} \mathrm{Ar}(\mathrm{g})$ at constant pressure, the temperature of the sample increases by $2.55 \mathrm{~K}$. Calculate the molar heat capacities at constant volume.
Plain-text mathematical notation (without MathML)
Assume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. When $229 \mathrm{~J}$ of energy is supplied as heat to $3.0 \mathrm{~mol} \mathrm{Ar}(\mathrm{g})$ at constant pressure, the temperature of the sample increases by $2.55 \mathrm{~K}$. Calculate the molar heat capacities at constant volume.
Original LaTeX notation
Assume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. When $229 \mathrm{~J}$ of energy is supplied as heat to $3.0 \mathrm{~mol} \mathrm{Ar}(\mathrm{g})$ at constant pressure, the temperature of the sample increases by $2.55 \mathrm{~K}$. Calculate the molar heat capacities at constant volume.

category

chemistry

options

  1. 30$\mathrm{J} \mathrm{K}^{-1} \mathrm{~mol}^{-1}$
  2. 50$\mathrm{J} \mathrm{K}^{-1} \mathrm{~mol}^{-1}$
  3. 35$\mathrm{J} \mathrm{K}^{-1} \mathrm{~mol}^{-1}$
  4. 18$\mathrm{J} \mathrm{K}^{-1} \mathrm{~mol}^{-1}$
  5. 12.5$\mathrm{J} \mathrm{K}^{-1} \mathrm{~mol}^{-1}$
  6. 25$\mathrm{J} \mathrm{K}^{-1} \mathrm{~mol}^{-1}$
  7. 15$\mathrm{J} \mathrm{K}^{-1} \mathrm{~mol}^{-1}$
  8. 40$\mathrm{J} \mathrm{K}^{-1} \mathrm{~mol}^{-1}$
  9. 20$\mathrm{J} \mathrm{K}^{-1} \mathrm{~mol}^{-1}$
  10. 45$\mathrm{J} \mathrm{K}^{-1} \mathrm{~mol}^{-1}$

src

scibench-atkins

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Source and history

upstream_id / Original problem ID
4272
task_id
d90a52bf-de63-5e08-9a68-1519653d32a7
task_key
default--test--4272
task_revision_id
1
config / split
default / test

Official source

initial import