- #1

ghoultree

- 1

- 0

## Homework Statement

What is the typical rotational frequency f

_{rot}for a molecule like N

_{2}at room temperature (25°C)? Assume that d for this molecule is 10

^{-10}m. Take the atomic mass of N

_{2}to be m

_{N2}=4.65x10

^{-26}kg. You will need to account for rotations around

__two axes__(not just one) to find the correct frequency.

## Homework Equations

rms angular speed: ω=sqrt{(2kT)/(md

^{2})}

f

_{rot}=ω/(2[itex]\pi[/itex])

k=1.381x10

^{-23}J/(molecule*K)

## The Attempt at a Solution

For my first attempt, I plugged the given numbers into sqrt{(3kT)/(md

^{2})}. I used 3 instead of 2 because I was accounting for the two different axes. I'm not sure if the was the correct way to go about it. Secondly, I divided the given mass by 2. Then, I divided my answer by 2pi.