How small is a water molecule compared to the volume of liquid water?

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SUMMARY

One mole of liquid water occupies a volume of 18 cm3, which corresponds to approximately 6.022 x 1023 molecules per mole, known as Avogadro's number. The average volume occupied by each water molecule can be calculated by dividing the total volume by the number of molecules, resulting in a volume of approximately 3.0 x 10-24 cm3 per molecule. The side length of a cube that would contain one water molecule is approximately 1.44 x 10-8 cm, which is significantly smaller than the diameter of a water molecule, estimated at about 2.75 x 10-8 cm.

PREREQUISITES
  • Understanding of Avogadro's number (6.022 x 1023)
  • Basic knowledge of volume calculations and cube geometry
  • Familiarity with the density of water (1 g/cm3)
  • Concept of molecular size and dimensions
NEXT STEPS
  • Research the implications of molecular size on chemical reactions
  • Explore the properties of water at the molecular level
  • Learn about the significance of Avogadro's number in chemistry
  • Investigate the relationship between density and molecular structure
USEFUL FOR

Chemistry students, educators, and researchers interested in molecular science and the properties of water.

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One mole of liquid water occupies a volume of 18 cm3. Imagine that each molecule on the average is at the centre of a small cube. (i) What is the length of the sides of this small cube? (ii) Compare this length with the diameter of a molecule.
 
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1 gram-mole of water has a mass of approximately 18 g, and since water has a density of approximately 1 g/cm3, it has a volume of cm3. How many molecules are in a mole? Knowing that, one can detemine the volume per molecule. One should be able to find the side length from the volume of a cube.
 

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