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MMLU-Pro / 4261 / The vibrational wavenumber of Br₂ is 323.2 mathrm{~cm}^{-1}.…

Problem

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

question

The vibrational wavenumber of Br2\mathrm{Br}_2 is $323.2 \mathrm{~cm}^{-1}$. Evaluate the vibrational partition function explicitly (without approximation) and plot its value as a function of temperature. At what temperature is the value within 5 per cent of the value calculated from the approximate formula?
Plain-text mathematical notation (without MathML)
The vibrational wavenumber of Br₂ is $323.2 \mathrm{~cm}^{-1}$. Evaluate the vibrational partition function explicitly (without approximation) and plot its value as a function of temperature. At what temperature is the value within 5 per cent of the value calculated from the approximate formula?
Original LaTeX notation
The vibrational wavenumber of $\mathrm{Br}_2$ is $323.2 \mathrm{~cm}^{-1}$. Evaluate the vibrational partition function explicitly (without approximation) and plot its value as a function of temperature. At what temperature is the value within 5 per cent of the value calculated from the approximate formula?

category

chemistry

options

  1. 7000 K
  2. 2500 K
  3. 3500$\mathrm{~K}$
  4. 6000 K
  5. 2000 K
  6. 4500$\mathrm{~K}$
  7. 4000$\mathrm{~K}$
  8. 5500 K
  9. 5000$\mathrm{~K}$
  10. 3000 K

src

scibench-matter

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Source and history

upstream_id / Original problem ID
4261
task_id
915cc052-21e8-53ca-8ab8-c5cb7649355a
task_key
default--test--4261
task_revision_id
1
config / split
default / test

Official source

initial import