benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 9378 / Determine the equilibrium constant for the dissociation of sodium at …

Problem

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

question

Determine the equilibrium constant for the dissociation of sodium at $298 \mathrm{~K}: \mathrm{Na}_2(g) \rightleftharpoons 2 \mathrm{Na}(g)$. For Na2\mathrm{Na}_2, $B=0.155 \mathrm{~cm}^{-1}, \widetilde{\nu}=159 \mathrm{~cm}^{-1}$, the dissociation energy is $70.4 \mathrm{~kJ} / \mathrm{mol}$, and the ground-state electronic degeneracy for Na\mathrm{Na} is 2 .
Plain-text mathematical notation (without MathML)
Determine the equilibrium constant for the dissociation of sodium at $298 \mathrm{~K}: \mathrm{Na}_2(g) \rightleftharpoons 2 \mathrm{Na}(g)$. For Na₂, $B=0.155 \mathrm{~cm}^{-1}, \widetilde{\nu}=159 \mathrm{~cm}^{-1}$, the dissociation energy is $70.4 \mathrm{~kJ} / \mathrm{mol}$, and the ground-state electronic degeneracy for Na is 2 .
Original LaTeX notation
Determine the equilibrium constant for the dissociation of sodium at $298 \mathrm{~K}: \mathrm{Na}_2(g) \rightleftharpoons 2 \mathrm{Na}(g)$. For $\mathrm{Na}_2$, $B=0.155 \mathrm{~cm}^{-1}, \widetilde{\nu}=159 \mathrm{~cm}^{-1}$, the dissociation energy is $70.4 \mathrm{~kJ} / \mathrm{mol}$, and the ground-state electronic degeneracy for $\mathrm{Na}$ is 2 .

category

physics

options

  1. 2.25 $10^{-9}$
  2. 1.98 $10^{-9}$
  3. 5.00 $10^{-8}$
  4. 4.50 $10^{-9}$
  5. 3.15 $10^{-9}$
  6. 1.75 $10^{-9}$
  7. 7.80 $10^{-9}$
  8. 2.75 $10^{-9}$
  9. 3.00 $10^{-9}$
  10. 1.10 $10^{-10}$

src

scibench-thermo

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

upstream_id / Original problem ID
9378
task_id
077417d2-23b8-5837-b3e3-71646db4711d
task_key
default--test--9378
task_revision_id
1
config / split
default / test

Official source

initial import