Thermal Behavior of Air

  1. 1. The problem statement, all variables and given/known data

    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?

    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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  3. Can anyone help?
     
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