Distance between water molecules.

  • Thread starter Thread starter robertsa
  • Start date Start date
  • Tags Tags
    Molecules Water
Click For Summary
SUMMARY

The discussion focuses on calculating the distance between water molecules in a 1 kg (1 liter) sample, which contains approximately 3.344 x 10^25 molecules. The user correctly identifies the density of water and calculates the number of moles (55.6) to derive the total number of molecules. To find the distance between molecules, it is essential to assume that each molecule occupies a cubic cell, allowing for the calculation of the volume per molecule and subsequently the length of one side of the cube, which directly relates to the distance between neighboring molecule centers.

PREREQUISITES
  • Understanding of Avogadro's number (6.022 x 10^23 molecules/mole)
  • Basic knowledge of density and its calculation (kg/m^3)
  • Familiarity with the concept of cubic volume and spatial distribution
  • Knowledge of molecular motion types (vibration, rotation, Brownian motion)
NEXT STEPS
  • Calculate the volume occupied by a single water molecule using the formula for density.
  • Explore the implications of molecular motion on the effective distance between molecules.
  • Investigate the concept of molecular packing in liquids and solids.
  • Learn about the properties of water at the molecular level, including hydrogen bonding and its effects on density.
USEFUL FOR

Students studying chemistry or physics, particularly those interested in molecular dynamics, physical chemistry, and the properties of water at a molecular level.

robertsa
Messages
10
Reaction score
0

Homework Statement


There are 3.344 x 10^25 molecules in 1 kg (1 litre) of water. What is the distance between the molecules?


Homework Equations





The Attempt at a Solution


I found the density of water in kg/m^3, then found # moles in 1 litre (55.6) and then from that using Na I found the # of molecules. I am unsure of where to go next with finding the distance betwee them.
 
Physics news on Phys.org
Assume that all molecules occupy identical cubic cells. (They vibrate, rotate, do Brown motion, so this volume is not the same as their actual size) How much volume does a molecule own? Imagine that each molecule occupies the centre of a its own cell. What is the length of one side of a cube and what is the distance between the neighbouring centre?

ehild
 

Similar threads

Replies
17
Views
3K
  • · Replies 9 ·
Replies
9
Views
4K
Replies
1
Views
1K
  • · Replies 10 ·
Replies
10
Views
6K
  • · Replies 7 ·
Replies
7
Views
2K
Replies
6
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 4 ·
Replies
4
Views
8K