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MMLU-Pro / 4319 / The helium content of the atmosphere at sea level is about 5 × 10^-4 mol %. A…

Problem

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

question

The helium content of the atmosphere at sea level is about 5 × 10^-4 mol %. A round 100-cm^3 Pyrex flask with wall thickness of 0.7 mm is evacuated to 10^-12atmand sealed; calculate the pressure in the flask at the end of one month due to inward diffusion of helium. At 20°C the permeability of Pyrex glass to helium is given as 4.9 × 10^-13 cm^3 s^-1 per millimeter thickness and permillibar(m bar) partial pressure difference.

category

chemistry

options

  1. 2.08 × 10^-5 m bar
  2. 6.28 × 10^-7 m bar
  3. 1.04 × 10^-6 m bar
  4. 3.12 × 10^-4 m bar
  5. 8.16 × 10^-6 m bar
  6. 1.04 × 10^-4 m bar
  7. 1.04 × 10^-5 m bar
  8. 9.87 × 10^-5 m bar
  9. 1.04 × 10^-7 m bar
  10. 5.20 × 10^-6 m bar

src

stemez-PhysicalChemistry

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Source and history

upstream_id / Original problem ID
4319
task_id
c65b5d80-0031-5251-977d-10bd7098be01
task_key
default--test--4319
task_revision_id
1
config / split
default / test

Official source

initial import