The Vibrational Modes of a Methane Molecule, CH₄, Are Listed

Multiple Choice

The vibrational modes of a methane molecule, CH₄, are listed below. Calculate the vibrational partition function at 1000 K.
$\begin{array}{ccc}\text { Mode } & \text { Degeneracy } & \text { Vibrational } \\& & \text { Wavenumber } / \mathrm{cm}^{-1} \\v_{1} & 1 & 3026 \\v_{2} & 2 & 1583 \\v_{3} & 3 & 3157 \\v_{4} & 3 & 1367\end{array}$

A) 1.0
B) 2.04
C) 1.33
D) 17.2