Calculating the Mass of a Gas Molecule Using Kinetic Theory

[dnl65078]

Homework Statement

A sample of an ideal gas is at a temperature of 320 K. The rms molecular speed at this temperature is measured as 1631 m/s. Calculate the mass of a molecule of this gas

Homework Equations

rms velocity , u = √(3RT/M )

The Attempt at a Solution

Given u = 1631 m / s
Temperature , T = 320 K
R = gas constant = 8.314 J/ mol . K
Molar mass of the gas molecule , M = 3RT / u 2
= 3 * 10^-3 Kg / mol

 

[ideasrule]

Right. You can convert to kg/molecule now, or you can use u=sqrt(3kT/m) instead of u=sqrt(3RT/M) and get the answer directly.

 

[dnl65078]

so do i just multply by 6.02e23?