(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Air is mostly composed of diatomic nitrogen, N_{2}. Assume that we can model the gas as an oscillator with an effective spring constant of 2.3 x 10^{3}N/m and and effective oscillating mass of half the atomic mass. For what temperatures should vibration contribute to the heat capacity of air?

2. Relevant equations

[itex]\omega=\sqrt{\frac{\kappa}{m}}[/itex]

[itex]E=\hbar\omega[/itex]

[itex]K=\frac{3}{2}k_{B}T[/itex]

3. The attempt at a solution

[itex]\omega=\sqrt{\frac{\kappa}{m}}=1.67\times10^{15} rad/s[/itex]

[itex]E=\hbar\omega=1.76\times10^{-19} J[/itex]

I am not sure what to do next.

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# Thermal Behavior of Air

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