benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 4364 / Assume that all gases are perfect and that data refer to 298 K unless otherwise…

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 K unless otherwise stated. Find an expression for the fugacity coefficient of a gas that obeys the equation of state pVm=RT(1+B/Vm+C/Vm2)p V_{\mathrm{m}}=R T\left(1+B / V_{\mathrm{m}}+C / V_{\mathrm{m}}^2\right). Use the resulting expression to estimate the fugacity of argon at 1.00 atm and $100 \mathrm{~K}$ using $B=-21.13 \mathrm{~cm}^3 \mathrm{~mol}^{-1}$ and $C=1054 \mathrm{~cm}^6 \mathrm{~mol}^{-2}$.
Plain-text mathematical notation (without MathML)
Assume that all gases are perfect and that data refer to 298 K unless otherwise stated. Find an expression for the fugacity coefficient of a gas that obeys the equation of state pV_(m)=RT(1+B/V_(m)+C/V_(m)²). Use the resulting expression to estimate the fugacity of argon at 1.00 atm and $100 \mathrm{~K}$ using $B=-21.13 \mathrm{~cm}^3 \mathrm{~mol}^{-1}$ and $C=1054 \mathrm{~cm}^6 \mathrm{~mol}^{-2}$.
Original LaTeX notation
Assume that all gases are perfect and that data refer to 298 K unless otherwise stated. Find an expression for the fugacity coefficient of a gas that obeys the equation of state $p V_{\mathrm{m}}=R T\left(1+B / V_{\mathrm{m}}+C / V_{\mathrm{m}}^2\right)$. Use the resulting expression to estimate the fugacity of argon at 1.00 atm and $100 \mathrm{~K}$ using $B=-21.13 \mathrm{~cm}^3 \mathrm{~mol}^{-1}$ and $C=1054 \mathrm{~cm}^6 \mathrm{~mol}^{-2}$.

category

chemistry

options

  1. 1.0236$\text{atm}$
  2. 1.0567 atm
  3. 0.9852 atm
  4. 0.9974$\text{atm}$
  5. 0.9321 atm
  6. 1.0000 atm
  7. 1.0150 atm
  8. 0.9125$\text{atm}$
  9. 1.1024$\text{atm}$
  10. 0.9500 atm

src

scibench-atkins

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

upstream_id / Original problem ID
4364
task_id
20b151c7-e78b-5271-b15a-3b3efd96fb62
task_key
default--test--4364
task_revision_id
1
config / split
default / test

Official source

initial import