benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 4459 / The spherical atomic nucleus of potassium has a radius of about 4 × 10^-13 cm.;…

Problem

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

question

The spherical atomic nucleus of potassium has a radius of about 4 × 10^-13 cm.; 6.02 × 10^23 of these nuclei weigh about 39 g. Calculate the approximate density of the nucleus of potassium in tons per cubic centimeter. Volume of a sphere = 4/3 \pir^3, where r is the radius.

category

chemistry

options

  1. 8.2 × 10^-2 tons/cm^3
  2. 9.3 × 10^-8 tons/cm^3
  3. 1.6 × 10^-13 tons/cm^3
  4. 5.6 × 10^14 tons/cm^3
  5. 7.5 × 10^6 tons/cm^3
  6. 2.7 × 10^8 tons/cm^3
  7. 6.02 × 10^23 tons/cm^3
  8. 4.3 × 10^-5 tons/cm^3
  9. 1.0 × 10^12 tons/cm^3
  10. 3.9 × 10^2 tons/cm^3

src

stemez-Chemistry

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
4459
task_id
12ba6f4a-9d1e-5d05-9290-20b2fc8719d9
task_key
default--test--4459
task_revision_id
1
config / split
default / test

Official source

initial import