The average separation between H2O molecules in pure water

Click For Summary
SUMMARY

The average separation between H2O molecules in pure water can be calculated using the molecular diameter of 0.29 nm and the density of water. The discussion highlights the use of the Bohr equation, r = (ε0*h2) / (π*m*e2), to derive relevant parameters. Additionally, the formula ω = 1/n = 4π/3*r^3 is mentioned as a method to find the average spacing between molecules. By calculating the number of molecules in a defined volume, such as 10 x 10 x 10 nm, one can determine the average separation effectively.

PREREQUISITES
  • Understanding of molecular dimensions, specifically H2O molecular diameter (0.29 nm)
  • Familiarity with the Bohr equation and its components
  • Knowledge of density calculations for pure water
  • Basic principles of molecular spacing and volume calculations
NEXT STEPS
  • Research the Bohr equation and its applications in molecular physics
  • Learn how to calculate molecular density and its implications in chemistry
  • Explore the concept of average molecular spacing in different states of matter
  • Investigate the relationship between molecular size and intermolecular forces in liquids
USEFUL FOR

Students studying chemistry or physics, particularly those focusing on molecular interactions and properties of water. This discussion is beneficial for anyone needing to calculate molecular separations in various contexts.

Tom_Sg
Messages
1
Reaction score
0

Homework Statement



I can't answer to that question, and I don't know how to. I have to calculate the average separation between H2O molecules in pure water.


Homework Equations



The diameter of the molecule is 0.29 nm

I think we can use the bohr equation to resolve it? r = (ε0*h2) / (π*m*e2)

I also found this : ω (which is the average spacing) = 1/n = 4π/3=r03 (from here)

The Attempt at a Solution



I don't know.- I don't want the answer just some clue to get the answer. :)

Thank you.
 
Last edited:
Physics news on Phys.org
Using the density and the mass per molecule, you can figure out the number of molecules per, say 10 x 10 x 10 nm...
 

Similar threads

Replies
4
Views
2K
Replies
17
Views
3K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 1 ·
Replies
1
Views
19K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
7
Views
4K
  • · Replies 3 ·
Replies
3
Views
3K
Replies
1
Views
4K
  • · Replies 1 ·
Replies
1
Views
6K
  • · Replies 5 ·
Replies
5
Views
3K