- #1

- 5

- 0

## Homework Statement

Experimental data for the heat capacity of N2 as a function of temperature are provided.

Estimate the frequency of vibration of the N2 molecule.

## Homework Equations

Energy of harmonic oscillator = (n+1/2)ħω

C=7/2k

_{B}

Average molecular energy = C*T

But this is an expression for the total energy of a molecule.

Presumably the amount of energy within the two vibrational modes is:

E=C*T

with

C=k

_{B}

## The Attempt at a Solution

All I can think to do is equate the two expressions for the energy of the oscillator:

k

_{B}T=(n+1/2)ħω

But I have no idea where to go now. In order to find frequency I would want to solve for ω, from which frequency can be trivially determined. However, how am I to know which integer value to use for n?

I am also very unsure as to my construction of the problem.

Any help/guidance greatly appreciated.