Nitrogen (N₂) at 0.1 MPa and T > 150 K approximates ideal gas behavior. At T < 300 K, the covalent bond is fairly rigid, so the higher heat capacity relative to a spherical molecule results from the possibility of rotation. That is, since the molecule is linear, spinning around its axis does not generate any momentum, but rotating perpendicular to its axis can generate momentum in the two other dimensions. So the heat capacity is C_V/R ~ 3/2 + 2/2 = 5/2 at room temperature. As the temperature increases, vibrations begin to absorb energy, analogous to the Einstein solid, but the covalent bond can only vibrate in one dimension. Use the NIST WebBook to obtain data for N₂ at 0.1 MPa and T = [150, 2000 K]. Regress an optimal value for ε_q/k of N₂ and plot a comparison of the calculated results to experimental data.