What Temperatures Contribute to Air's Heat Capacity Due to Vibration?

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Homework Statement



Air is mostly composed of diatomic nitrogen, N2. Assume that we can model the gas as an oscillator with an effective spring constant of 2.3 x 103 N/m and and effective oscillating mass of half the atomic mass. For what temperatures should vibration contribute to the heat capacity of air?

Homework Equations



\omega=\sqrt{\frac{\kappa}{m}}
E=\hbar\omega
K=\frac{3}{2}k_{B}T

The Attempt at a Solution



\omega=\sqrt{\frac{\kappa}{m}}=1.67\times10^{15} rad/s
E=\hbar\omega=1.76\times10^{-19} J

I am not sure what to do next.
 
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