# Thermal Behavior of Air

1. Mar 6, 2012

### glebovg

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

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

3. 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.

2. Mar 6, 2012

### glebovg

Can anyone help?

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