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## Homework Statement

Estimate the precise value for the specific heat of a nitrogen molecule at T=13.6K

## Homework Equations

I'm pretty sure the correct equation is:

Cp = (7/2)*R + R((hv)/(kT))

^{2}*((e

^{(hv/kT)})/(e

^{(hv/kT)}-1)

^{2}

So R=8.314 J K

^{-1}mol

^{-1}

T=13.6K

h=6.626*10

^{-34}m

^{2}kg s

^{-1}

k=2pi/λ

v= ?

## The Attempt at a Solution

Well, I know that diatomic molecules oscillate at a single characteristic frequency,v, but I'm not sure how to find what frequency that is and without it I can't finish the equation. I figure if I had the frequency, I could find λ or vice versa but I need both to finish the problem. Or am I approaching this in too straightforward a manner?

Any help or confirmation that I'm at least headed in the right direction would be appreciated.