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Chapter 21: Q26P (page 626)

What is the magnitude of the electrostatic force between a singly charged sodium ion (Na+, of chargerole="math" localid="1661780999867" +e) and an adjacent singly charged chlorine ion (Cl−, of charge-e) in a salt crystal if their separation is2.82×10−10 m?

Short Answer

Expert verified

The magnitude of the electrostatic force between sodium and chlorine is 2.89×10−9N.

Step by step solution

01

Stating the given data

  1. Singly charged sodium ion, Na+, of charge+e and a singly charged chlorine ion, Cl−, of charge −e.
  2. The separation between the ions, r=2.82×10−10m.
02

Understanding the concept of Coulomb’s law

Using the formula of Coulomb's law, we can get the magnitude value of the electrostatic force of attraction for oppositely charged bodies.

Formula:

The magnitude of the electrostatic force between any two particles,F=k|q1||q2|r2 (i)

03

Calculation of the magnitude of the electrostatic force

The magnitude of the force using the given data in the equation (i) is

F=ke2r2=9.00×109Nm2/C2⋅(1.60×10−19C)2(2.82×10−10m)2=2.89×10−9N

Hence, the value of the force is 2.89×10−9N.

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