Thermal Behavior of Air
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. 
Re: Thermal Behavior of Air
Can anyone help?

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