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-   -   Thermal Behavior of Air (http://www.physicsforums.com/showthread.php?t=584393)

glebovg Mar6-12 12:35 PM

Thermal Behavior of Air
 
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.

glebovg Mar6-12 03:17 PM

Re: Thermal Behavior of Air
 
Can anyone help?


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