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MMLU-Pro / 4263 / Calculate the energy needed to compress three carbon-carbon single bonds and…

Problem

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

question

Calculate the energy needed to compress three carbon-carbon single bonds and stretch three carbon-carbon double bonds to the benzene bond length $1.397 Å$. Assume a harmonicoscillator potential-energy function for bond stretching and compression. Typical carboncarbon single- and double-bond lengths are 1.53 and $1.335 Å$; typical stretching force constants for carbon-carbon single and double bonds are 500 and $950 \mathrm{~N} / \mathrm{m}$.
Plain-text mathematical notation (without MathML)
Calculate the energy needed to compress three carbon-carbon single bonds and stretch three carbon-carbon double bonds to the benzene bond length $1.397 Å$. Assume a harmonicoscillator potential-energy function for bond stretching and compression. Typical carboncarbon single- and double-bond lengths are 1.53 and $1.335 Å$; typical stretching force constants for carbon-carbon single and double bonds are 500 and $950 \mathrm{~N} / \mathrm{m}$.
Original LaTeX notation
Calculate the energy needed to compress three carbon-carbon single bonds and stretch three carbon-carbon double bonds to the benzene bond length $1.397 Å$. Assume a harmonicoscillator potential-energy function for bond stretching and compression. Typical carboncarbon single- and double-bond lengths are 1.53 and $1.335 Å$; typical stretching force constants for carbon-carbon single and double bonds are 500 and $950 \mathrm{~N} / \mathrm{m}$.

category

chemistry

options

  1. 42 $\mathrm{kcal} / \mathrm{mol}$
  2. 15 $\mathrm{kcal} / \mathrm{mol}$
  3. 36 kcal/mol
  4. 9 kcal/mol
  5. 33 $\mathrm{kcal} / \mathrm{mol}$
  6. 48 kcal/mol
  7. 27 $\mathrm{kcal} / \mathrm{mol}$
  8. 3 kcal/mol
  9. 24 kcal/mol
  10. 60 kcal/mol

src

scibench-quan

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Source and history

upstream_id / Original problem ID
4263
task_id
54350c26-c3db-55e2-9fea-22ebfade6d85
task_key
default--test--4263
task_revision_id
1
config / split
default / test

Official source

initial import