Discussion
For an ideal gas, the molecular partition function in the canonical ensemble, that is proportional to the system volume (V), is the
Answer: D
The partition function proportional to V is the translational partition function.
For a particle of mass m free to move in a volume V,
\[ \begin{aligned} q_{trans} &= \frac{V}{\Lambda^{3}} \\ \Lambda &= \frac{h}{\sqrt{2\pi m kT}} \end{aligned} \]
so it grows in direct proportion to the volume available. The vibrational, rotational and electronic partition functions depend on the molecule's internal energy levels (vibrational frequencies, moments of inertia, electronic states) and on temperature, but not on the size of the container.
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