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

[EmmaLemming]

Homework Statement

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.

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2. The attempt at a solution

i) V = nRT/P = 0.0224m³

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

iii) V_RMS = √(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.

 

[Norfonz]

A mole of neon occupies the volume you calculated.

 

[dextercioby]

How many atoms of neon can one find in 1000 liters/1cubic meter of liquid neon ?