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MMLU-Pro / 10118 / Consider a collection of molecules where each molecule has two nondegenerate…

Problem

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

question

Consider a collection of molecules where each molecule has two nondegenerate energy levels that are separated by 6000.cm−16000 . \mathrm{cm}^{-1}. Measurement of the level populations demonstrates that there are exactly 8 times more molecules in the ground state than in the upper state. What is the temperature of the collection?
Plain-text mathematical notation (without MathML)
Consider a collection of molecules where each molecule has two nondegenerate energy levels that are separated by 6000.cm^(−1). Measurement of the level populations demonstrates that there are exactly 8 times more molecules in the ground state than in the upper state. What is the temperature of the collection?
Original LaTeX notation
Consider a collection of molecules where each molecule has two nondegenerate energy levels that are separated by $6000 . \mathrm{cm}^{-1}$. Measurement of the level populations demonstrates that there are exactly 8 times more molecules in the ground state than in the upper state. What is the temperature of the collection?

category

physics

options

  1. 4500 $\mathrm{~K}$
  2. 2000 $\mathrm{~K}$
  3. 3500 $\mathrm{~K}$
  4. 2500 $\mathrm{~K}$
  5. 5000 $\mathrm{~K}$
  6. 4152 $\mathrm{~K}$
  7. 3000 $\mathrm{~K}$
  8. 7500 $\mathrm{~K}$
  9. 6000 $\mathrm{~K}$
  10. 1000 $\mathrm{~K}$

src

scibench-thermo

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Source and history

upstream_id / Original problem ID
10118
task_id
b1201033-a2f3-5361-8af4-73554e764578
task_key
default--test--10118
task_revision_id
1
config / split
default / test

Official source

initial import