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MMLU-Pro / 4358 / A certain gas obeys the van der Waals equation with …

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

A certain gas obeys the van der Waals equation with $a=0.50 \mathrm{~m}^6 \mathrm{~Pa}$ mol−2\mathrm{mol}^{-2}. Its volume is found to be $5.00 \times 10^{-4} \mathrm{~m}^3 \mathrm{~mol}^{-1}$ at $273 \mathrm{~K}$ and 3.0MPa3.0 \mathrm{MPa}. From this information calculate the van der Waals constant bb. What is the compression factor for this gas at the prevailing temperature and pressure?
Plain-text mathematical notation (without MathML)
A certain gas obeys the van der Waals equation with $a=0.50 \mathrm{~m}^6 \mathrm{~Pa}$ mol^(−2). Its volume is found to be $5.00 \times 10^{-4} \mathrm{~m}^3 \mathrm{~mol}^{-1}$ at $273 \mathrm{~K}$ and 3.0MPa. From this information calculate the van der Waals constant b. What is the compression factor for this gas at the prevailing temperature and pressure?
Original LaTeX notation
A certain gas obeys the van der Waals equation with $a=0.50 \mathrm{~m}^6 \mathrm{~Pa}$ $\mathrm{mol}^{-2}$. Its volume is found to be $5.00 \times 10^{-4} \mathrm{~m}^3 \mathrm{~mol}^{-1}$ at $273 \mathrm{~K}$ and $3.0 \mathrm{MPa}$. From this information calculate the van der Waals constant $b$. What is the compression factor for this gas at the prevailing temperature and pressure?

category

chemistry

options

  1. 0.70
  2. 0.55
  3. 0.82
  4. 0.72
  5. 0.50
  6. 0.66
  7. 0.60
  8. 0.75
  9. 0.90
  10. 0.40

src

scibench-atkins

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Source and history

upstream_id / Original problem ID
4358
task_id
660820e8-cb62-5378-8732-d0bfbc72e17d
task_key
default--test--4358
task_revision_id
1
config / split
default / test

Official source

initial import