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MMLU-Pro / 4452 / Recent communication with the inhabitants of Neptune has revealed that they have…

Problem

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question

Recent communication with the inhabitants of Neptune has revealed that they have a Celsius-type temperature scale, but based on the melting point (0∘N)(0^{\circ} \mathrm{N}) and boiling point (100∘N)(100^{\circ} \mathrm{N}) of their most common substance, hydrogen. Further communications have revealed that the Neptunians know about perfect gas behaviour and they find that, in the limit of zero pressure, the value of pVp V is 28dm328 \mathrm{dm}^3 atm at 0∘N0^{\circ} \mathrm{N} and 40dm340 \mathrm{dm}^3 atm at 100∘N100^{\circ} \mathrm{N}. What is the value of the absolute zero of temperature on their temperature scale?
Plain-text mathematical notation (without MathML)
Recent communication with the inhabitants of Neptune has revealed that they have a Celsius-type temperature scale, but based on the melting point (0^(∘)N) and boiling point (100^(∘)N) of their most common substance, hydrogen. Further communications have revealed that the Neptunians know about perfect gas behaviour and they find that, in the limit of zero pressure, the value of pV is 28dm³ atm at 0^(∘)N and 40dm³ atm at 100^(∘)N. What is the value of the absolute zero of temperature on their temperature scale?
Original LaTeX notation
Recent communication with the inhabitants of Neptune has revealed that they have a Celsius-type temperature scale, but based on the melting point $(0^{\circ} \mathrm{N})$ and boiling point $(100^{\circ} \mathrm{N})$ of their most common substance, hydrogen. Further communications have revealed that the Neptunians know about perfect gas behaviour and they find that, in the limit of zero pressure, the value of $p V$ is $28 \mathrm{dm}^3$ atm at $0^{\circ} \mathrm{N}$ and $40 \mathrm{dm}^3$ atm at $100^{\circ} \mathrm{N}$. What is the value of the absolute zero of temperature on their temperature scale?

category

chemistry

options

  1. -273$^{\circ} \mathrm{N}$
  2. -150$^{\circ} \mathrm{N}$
  3. -170$^{\circ} \mathrm{N}$
  4. -250$^{\circ} \mathrm{N}$
  5. -210$^{\circ} \mathrm{N}$
  6. -220$^{\circ} \mathrm{N}$
  7. -180$^{\circ} \mathrm{N}$
  8. -200$^{\circ} \mathrm{N}$
  9. -300$^{\circ} \mathrm{N}$
  10. -233$^{\circ} \mathrm{N}$

src

scibench-atkins

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Source and history

upstream_id / Original problem ID
4452
task_id
04ba6b06-a950-5436-b8b1-2fbdd12cb5db
task_key
default--test--4452
task_revision_id
1
config / split
default / test

Official source

initial import