Estimating the spacing between gas molecules

In summary, the question is asking for an estimate of the average spacing between molecules of an ideal gas at 1 atm and 300K. The volume occupied by the gas was calculated using the ideal gas law, but without further information on the size of each molecule, it is difficult to calculate the exact spacing. However, the volume per molecule can be calculated by dividing the total volume by the number of molecules, but this may not accurately represent the actual spacing due to the unknown size of each molecule.
  • #1
tom_l
4
0

Homework Statement



Estimate the average spacing between molecules of 1 mol of an ideal gas at a pressure of 1atm and a temperature of 300K.


Homework Equations



PV=nRT


The Attempt at a Solution



I was able to calculate the volume occupied by the gas (0.0246m^3). Using the ideal gas law. So we know how many molecules there are in what volume. But without further information how can I calculate the spacing?

Thanks a lot.
 
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  • #2
whats the volume per molecule
 
  • #3
granpa said:
whats the volume per molecule

That would be the volume divided by the total number of molecules. I did think of that but is that an estimate of separation? We don't know the size of each molecule. The volume per molecule would just be the distance from the centre of one molecule to another. What if the molecules are really large?
 

Related to Estimating the spacing between gas molecules

1. How do gas molecules move in a container?

Gas molecules move randomly and rapidly in all directions inside a container, colliding with each other and the walls of the container.

2. What is the relationship between gas molecules and temperature?

As temperature increases, gas molecules gain more kinetic energy and move faster, increasing the pressure and volume of the gas.

3. How does the spacing between gas molecules affect their behavior?

The spacing between gas molecules affects their behavior by determining how often they collide with each other and the walls of the container, which ultimately affects the pressure and volume of the gas.

4. How can we estimate the spacing between gas molecules?

The spacing between gas molecules can be estimated using the Ideal Gas Law, which relates pressure, volume, temperature, and the number of moles of gas to each other.

5. What factors can affect the spacing between gas molecules?

The spacing between gas molecules can be affected by temperature, pressure, and the type of gas. In addition, intermolecular forces between gas molecules can also play a role in determining their spacing.

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