Estimate the precise value for the specific heat of a nitrogen molecule at T=13.6K
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-1mol-1
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.