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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--4481▌ posts · files
MMLU-Pro / 4481 / The concentration of hydrogen atoms in intergalactic space at a temper-ature of…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
The concentration of hydrogen atoms in intergalactic space at a temper-ature of 7.8 × 10^50K is about 1 atom per 100 liter. Assuming the col-lision diameter of the hydrogen atom is 2.0\AA calculate a) the mean free path of an atom in light-years. b) The approximate average time, in years, between collisions of a given atom.
category
chemistry
options
- mean free path is 59 light-yr and time between collisions is 1.382 × 10^5 yr
- mean free path is 60 light-yr and time between collisions is 1.4 × 10^5 yr
- mean free path is 70 light-yr and time between collisions is 1.6 × 10^5 yr
- mean free path is 40 light-yr and time between collisions is 0.9 × 10^5 yr
- mean free path is 80 light-yr and time between collisions is 1.8 × 10^5 yr
- mean free path is 50 light-yr and time between collisions is 1.2 × 10^5 yr
- mean free path is 75 light-yr and time between collisions is 1.7 × 10^5 yr
- mean free path is 55 light-yr and time between collisions is 1.3 × 10^5 yr
- mean free path is 45 light-yr and time between collisions is 1.0 × 10^5 yr
- mean free path is 65 light-yr and time between collisions is 1.5 × 10^5 yr
src
stemez-PhysicalChemistry
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Source and history
- upstream_id / Original problem ID
- 4481
- task_id
a4e52f5c-47bb-5430-9a7c-be0f772104f6- task_key
default--test--4481- task_revision_id
- 1
- config / split
- default / test
initial import