Root mean square speed and ideal gases

[tigerlili]

Homework Statement

At 318 K and 1.04 x 10-2 atm, the density of a gas is 1.75 x 10-5 g/cm3. (a) Find vrms for the gas molecules. (b) Find the molar mass of the gas.

Homework Equations

vrms= sqrt (3RT/M)
pV=nRT
pM=dRT
pV=(m/M)RT

The Attempt at a Solution

the main problem i am having here is units, and i am getting really frustrated, because i am a chem major, and this is chemistry!

in order to solve for the root mean square speed, i said, based on the above relationships, RT/M = p/d

so i plugged into vrms= sqrt (3p/d) BUT i don't know what units the density and pressure should be into yield m/s for the final speed- i have no idea to even apply unit analysis here

thanks!

 

[ApexOfDE]

i think p - N/m^2 because: P/D = (N/m^2) / (kg/m^3) = m.N / kg. According to N's 2nd law: F = ma => N/kg = m/s^2 => m.N / kg = m.m/s^2 = m^2/s^2.

 

[tigerlili]

okay, thanks for your help :)