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MMLU-Pro / 4172 / The carbon-carbon bond length in diamond is 154.45pm. If diamond…

Problem

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

question

The carbon-carbon bond length in diamond is 154.45pm154.45 \mathrm{pm}. If diamond were considered to be a close-packed structure of hard spheres with radii equal to half the bond length, what would be its expected density? The diamond lattice is face-centred cubic and its actual density is $3.516 \mathrm{~g} \mathrm{~cm}^{-3}$.
Plain-text mathematical notation (without MathML)
The carbon-carbon bond length in diamond is 154.45pm. If diamond were considered to be a close-packed structure of hard spheres with radii equal to half the bond length, what would be its expected density? The diamond lattice is face-centred cubic and its actual density is $3.516 \mathrm{~g} \mathrm{~cm}^{-3}$.
Original LaTeX notation
The carbon-carbon bond length in diamond is $154.45 \mathrm{pm}$. If diamond were considered to be a close-packed structure of hard spheres with radii equal to half the bond length, what would be its expected density? The diamond lattice is face-centred cubic and its actual density is $3.516 \mathrm{~g} \mathrm{~cm}^{-3}$.

category

chemistry

options

  1. 8.965 g/cm³
  2. 10.112 g/cm³
  3. 9.015 $\mathrm{~g} \mathrm{~cm}^{-3}$
  4. 6.324 $\mathrm{~g} \mathrm{~cm}^{-3}$
  5. 7.654 $\mathrm{~g} \mathrm{~cm}^{-3}$
  6. 7.128 g/cm³
  7. 8.210 $\mathrm{~g} \mathrm{~cm}^{-3}$
  8. 3.982 g/cm³
  9. 5.245 g/cm³
  10. 4.568 g/cm³

src

scibench-matter

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Source and history

upstream_id / Original problem ID
4172
task_id
bba86e20-0a12-5f75-8041-71f16dd9acd8
task_key
default--test--4172
task_revision_id
1
config / split
default / test

Official source

initial import