Chapter 11, Problem 11B.15E

Interpretation Introduction

Interpretation:

The $\text{CO}$ bond length of the molecule ${}^{\text{12}}{\text{C}}^{\text{16}}{\text{O}}_{\text{2}}$ has to be determined using the given data.

Concept Introduction:

Rotational constant of a molecule can be determined using the given formula.

  $\begin{array}{c}\text{Rotational constant, B = }\frac{\hslash }{\text{4πI}}\\ \\ \text{where,}\\ \text{I = moment of inertia }\end{array}$

Moment of inertia of diatomic molecules is given by,

  $\begin{array}{l}\text{Moment of inertia, I = }\mu {\text{R}}^2\\ \\ where,\mu =\frac{m_A{m}_B}{\left(m_A+m_B\right)}\end{array}$