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

question 8

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

---

Definitions:

Motor Pathway

A neural path that signals from the brain or spinal cord to muscles, facilitating movement and motor function.

Primary Motor Cortex

The primary motor cortex is a brain region responsible for generating neural impulses that control the execution of movement, playing a key role in planning, initiating, and directing voluntary movements.

Neuroplasticity

The ability of the brain to form and reorganize synaptic connections, especially in response to learning or after injury.

Stroke

A medical condition that occurs when the blood supply to part of the brain is interrupted or reduced, preventing brain tissue from receiving oxygen and nutrients.