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Homework Help: Ideal Gas Law - spacing between particles of the gas

  1. Nov 8, 2008 #1
    1. The problem statement, all variables and given/known data

    One mole of an ideal gas is a temperature 300K adn at 1.00 atm pressure. a) find the volume. b) Estimate the average spacing between the particles of the gas.

    2. Relevant equations
    For the first part I used PV=nRT and solved for V to determine the volume which I found to be 2.46 x 10 ^-2 cubic meters.

    3. The attempt at a solution I have no idea where to start for the average spacing between the particles. Any tips or ideas would be great!!! Thank you.

    I went on working some more problems and found one mentioning density. Is that what this is asking for? If so, I still need some help identifying a formula or something for the density. thanks again.
    Last edited: Nov 8, 2008
  2. jcsd
  3. Nov 8, 2008 #2
    Imagine the particles placed on the corners of a cubes, neatly packed all over space:
    if the distance between 2 closest neighbors is d, how may particles per volume would you have?

    In your case, you know how many particles [I hope you know what a "mole" is] per volume, so you can infer d this way.
  4. Nov 8, 2008 #3
    Or if you want to imagine the particles in some other nice symmetric configuration, that's fine too. You just need an estimate of the spacing.

    Even a simple dimensional argument will give a correct answer.
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