A carbon monoxide (CO) molecule has a dipole moment of...

A carbon monoxide (CO) molecule has a dipole moment of approximately $8.0 \cdot 10^{-30} \mathrm{C} \mathrm{m}$. If the carbon and oxygen atoms are separated by $1.2 \cdot 10^{-10} \mathrm{~m}$, find the net charge on each atom and the maximum amount of torque the molecule would experience in an electric field of $500.0 \mathrm{~N} / \mathrm{C}$

Key Concepts

Dipole Moment

Dipole moment is a measure of the separation of positive and negative charges within a system. It is defined as the product of the magnitude of the charge and the distance separating the charges. In the context of molecules, the dipole moment gives insight into the distribution of electrical charges and plays a critical role in determining molecular interactions, behaviour in external fields, and polarity.

Electric Dipole in an Electric Field

When a dipole is placed in an electric field, the positive and negative charges experience forces in opposite directions. This results in a net torque that tends to align the dipole with the external field. The behavior of an electric dipole in a field is fundamental to understanding phenomena in molecular chemistry and physics, including dielectric properties and resonant absorption of radiation.

Torque on an Electric Dipole

The torque (?) experienced by an electric dipole in a uniform electric field is given by the vector cross product ? = ? × E, where ? is the dipole moment and E is the electric field strength. The maximum torque occurs when the dipole is oriented perpendicular to the field, i.e., when the angle between ? and E is 90°. This concept is key for analyzing how dipoles respond to external fields, with implications in areas such as spectroscopy and the behavior of polar molecules.

Net Charge Calculation from Dipole Moment

Determining the net charge on each atom in a molecule from its dipole moment involves rearranging the dipole moment formula (? = q * r), where q is the magnitude of the effective charge and r is the distance between the charges. This calculation provides a quantifiable measure of the degree of charge separation in a molecule, which is crucial for understanding its electrical properties and intermolecular interactions.

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