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MMLU-Pro / 4632 / A chemist has an E. coli bacterium cell of cylindrical shape. It is 2…

Problem

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question

A chemist has an E. coli bacterium cell of cylindrical shape. It is 2\mu (microns) long and 1\mu in diameter and weighs 2 × 10^-12 g. (a) How many lipid molecules are present, assuming their average molecular weight to be 700 and lipid content to be 2%? (b) If the cell contains 15,000 ribosomes, what percent of the volume do they occupy? You may assume them to be spherical with a diameter of 180 \AA; also 10^4 \AA = 1 micron.

category

chemistry

options

  1. (a) 6.02 × 10^23 lipid molecules, (b) 1.9%
  2. (a) 1.72 × 10^8 lipid molecules, (b) 2.2%
  3. (a) 5.71 × 10^7 lipid molecules, (b) 4.8%
  4. (a) 1.44 × 10^7 lipid molecules, (b) 3.3%
  5. (a) 5.71 × 10^-17 lipid molecules, (b) 3%
  6. (a) 4 × 10^-14 lipid molecules, (b) 4.5%
  7. (a) 3.44 × 10^7 lipid molecules, (b) 2.9%
  8. (a) 4.29 × 10^7 lipid molecules, (b) 1.5%
  9. (a) 8.58 × 10^6 lipid molecules, (b) 3.5%
  10. (a) 2.86 × 10^7 lipid molecules, (b) 5.1%

src

stemez-Chemistry

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Source and history

upstream_id / Original problem ID
4632
task_id
dd53802c-b685-5bd8-877d-4357e8853268
task_key
default--test--4632
task_revision_id
1
config / split
default / test

Official source

initial import