"At 273 K and 1.00x10^-2 atm, the density of a gas is 1.24x10^-5 g/cm^3.
A.) Find the Vrms for the gas molecules
B.) Find the molar mass and identify the gas (Choose from H2, He, H20, N2, O2, or CO2)"
Vrms = √(3RT/Mm)
pV = nRT
The Attempt at a Solution
n = mass/Mm
pV = mass/Mm *RT
Mm = mass*RT/(pV)
Mm = ρRT/p
Vrms = √(3RT/(ρRT/p)) = √(3p/ρ)
So I have the solution up until this point, the main thing I am worried about is the units of my answer. I have pressure in atm, which is some form of Force/Area. I have density in g/cm^3. So pressure/density will be some form of (distance/time)^2, which of course is taken care of with the radical. The only thing I can not come up with is what exact units it will be in. Any help here would be greatly appreciated. Thanks in advance.