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MMLU-Pro / 4100 / 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. For a van der Waals gas, πT=a/Vm2\pi_T=a / V_{\mathrm{m}}^2. Calculate ΔUm\Delta U_{\mathrm{m}} for the isothermal expansion of nitrogen gas from an initial volume of 1.00dm31.00 \mathrm{dm}^3 to 24.8dm324.8 \mathrm{dm}^3 at $298 \mathrm{~K}$.
Plain-text mathematical notation (without MathML)
Assume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. For a van der Waals gas, π_(T)=a/V_(m)². Calculate ΔU_(m) for the isothermal expansion of nitrogen gas from an initial volume of 1.00dm³ to 24.8dm³ at $298 \mathrm{~K}$.
Original LaTeX notation
Assume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. For a van der Waals gas, $\pi_T=a / V_{\mathrm{m}}^2$. Calculate $\Delta U_{\mathrm{m}}$ for the isothermal expansion of nitrogen gas from an initial volume of $1.00 \mathrm{dm}^3$ to $24.8 \mathrm{dm}^3$ at $298 \mathrm{~K}$.

category

chemistry

options

  1. 150$\mathrm{J} \mathrm{mol}^{-1}$
  2. 90$\mathrm{J} \mathrm{mol}^{-1}$
  3. 170$\mathrm{J} \mathrm{mol}^{-1}$
  4. 100$\mathrm{J} \mathrm{mol}^{-1}$
  5. 160$\mathrm{J} \mathrm{mol}^{-1}$
  6. 140$\mathrm{J} \mathrm{mol}^{-1}$
  7. 110$\mathrm{J} \mathrm{mol}^{-1}$
  8. 120$\mathrm{J} \mathrm{mol}^{-1}$
  9. 131$\mathrm{J} \mathrm{mol}^{-1}$
  10. 125$\mathrm{J} \mathrm{mol}^{-1}$

src

scibench-atkins

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Source and history

upstream_id / Original problem ID
4100
task_id
1f5d1c37-fc54-5567-81e0-d31ecc848784
task_key
default--test--4100
task_revision_id
1
config / split
default / test

Official source

initial import