1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Use the density of the liquid to estimate the radius of a neon atom.

  1. May 3, 2012 #1
    1. The problem statement, all variables and given/known data

    Neon is a monatomic gas;
    Density = 0.900 kg.m-3
    Pressure = 1 atm
    Temperature = 273K.
    Density of liquid neon = 1207 kg.m-3

    (i) Calculate the volume occupied by one gram mole of neon at a temperature of 273 K and a pressure of 1 atm.

    (ii) Determine the atomic weight of neon.

    (iii) Calculate the RMS speed of a neon atom at 273 K.

    (iv) Use the density of the liquid to estimate the radius of a neon atom.


    2. The attempt at a solution

    i) V = nRT/P = 0.0224m3

    ii) n= m/M ∴ m = nM = 1x10 = 10g = 0.01kg

    iii) VRMS = √(3RT/M) = 824.98ms-1

    iv) third-root(liquid density/mass) = 49.42m <-- Bit big for an atom :s

    I am stuck on part iv) however I may have made a mistake further up so I have included the whole question and my working. Please help.
  2. jcsd
  3. May 3, 2012 #2
    A mole of neon occupies the volume you calculated.
  4. May 3, 2012 #3


    User Avatar
    Science Advisor
    Homework Helper

    How many atoms of neon can one find in 1000 liters/1cubic meter of liquid neon ?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook