(a) Find the magnitude of the electric force between a Na^+...

(a) Find the magnitude of the electric force between a $\mathrm{Na}^{+}$ ion and a Cl $^{-}$ ion separated by $0.50 \mathrm{nm}$.
(b) Would the
answer change if the sodium ion were replaced by Lit and the chloride ion by Br"? Explain.

Key Concepts

Ion Substitution and Similarity of Charges

When ions are substituted in an electrostatic interaction, the overall force is primarily determined by the magnitude of their charges and the separation distance. If the substituted ions have the same effective charges and comparable sizes so that the separation remains similar, the magnitude of the electric force is largely unchanged. Variations in ionic radii might affect the distance slightly, but the fundamental force between ions with the same charge magnitude remains governed by Coulomb's Law.

Interionic Distance

The distance between the centers of the charged ions directly affects the force between them. In Coulomb's Law, the force decreases rapidly as the distance increases, making accurate unit conversion (e.g., from nanometers to meters) essential for precise calculations.

Electric Charge

Electric charge is a property of matter that causes it to experience a force when placed in an electromagnetic field. In the context of ions, each ion carries a discrete charge (e.g., +1 for cations and -1 for anions), which is crucial for determining the magnitude of the electrostatic force between them.

Coulomb's Law

Coulomb's Law describes how the force between two point charges is directly proportional to the product of the magnitudes of each charge and inversely proportional to the square of the distance between them. This law is fundamental in understanding interactions between charged particles in electromagnetism.

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