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MMLU-Pro / 9592 / For an ensemble consisting of a mole of particles having two energy levels…

Problem

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

question

For an ensemble consisting of a mole of particles having two energy levels separated by 1000.cm−11000 . \mathrm{cm}^{-1}, at what temperature will the internal energy equal $3.00 \mathrm{~kJ}$ ?
Plain-text mathematical notation (without MathML)
For an ensemble consisting of a mole of particles having two energy levels separated by 1000.cm^(−1), at what temperature will the internal energy equal $3.00 \mathrm{~kJ}$ ?
Original LaTeX notation
For an ensemble consisting of a mole of particles having two energy levels separated by $1000 . \mathrm{cm}^{-1}$, at what temperature will the internal energy equal $3.00 \mathrm{~kJ}$ ?

category

physics

options

  1. 1700 $\mathrm{~K}$
  2. 1100 $\mathrm{~K}$
  3. 1600 K
  4. 900 K
  5. 2000 K
  6. 1450 K
  7. 1200 K
  8. 1500 $\mathrm{~K}$
  9. 800 K
  10. 1310 $\mathrm{~K}$

src

scibench-thermo

Discussion

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Source and history

upstream_id / Original problem ID
9592
task_id
1d6ed77e-e4ab-5886-97c6-5c16569c830f
task_key
default--test--9592
task_revision_id
1
config / split
default / test

Official source

initial import