Use Coulomb's law to calculate the energy in aJ of the following ions to their equilibrium ion-pair separation distance: Fe³+ with radius 55 pm and P3 with a radius of 212 pm.

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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**Exercise on Coulomb's Law Application**

**Objective:**
Use Coulomb's law to calculate the energy in attojoules (aJ) of the following ions at their equilibrium ion-pair separation distance.

**Problem Statement:**
Calculate the energy between the ions Fe³⁺ with a radius of 55 pm and P³⁻ with a radius of 212 pm.

**Instructions:**
1. Apply Coulomb’s law using the given parameters.
2. Note the radii of the ions to determine the separation distance.

**Explanation:**
- *Coulomb’s Law Formula:* \( E = \frac{k \cdot |q_1 \cdot q_2|}{r} \)
  - \( E \) is the energy.
  - \( k \) is Coulomb's constant.
  - \( q_1 \) and \( q_2 \) are the magnitudes of the charges.
  - \( r \) is the total distance between ion centers, calculated by summing the radii of the two ions.  

**Further Reading:**
Explore how electrostatic interactions affect ionic bonding and material properties.

**Exercises:**
Try similar calculations with different ions to solidify understanding!
Transcribed Image Text:**Exercise on Coulomb's Law Application** **Objective:** Use Coulomb's law to calculate the energy in attojoules (aJ) of the following ions at their equilibrium ion-pair separation distance. **Problem Statement:** Calculate the energy between the ions Fe³⁺ with a radius of 55 pm and P³⁻ with a radius of 212 pm. **Instructions:** 1. Apply Coulomb’s law using the given parameters. 2. Note the radii of the ions to determine the separation distance. **Explanation:** - *Coulomb’s Law Formula:* \( E = \frac{k \cdot |q_1 \cdot q_2|}{r} \) - \( E \) is the energy. - \( k \) is Coulomb's constant. - \( q_1 \) and \( q_2 \) are the magnitudes of the charges. - \( r \) is the total distance between ion centers, calculated by summing the radii of the two ions. **Further Reading:** Explore how electrostatic interactions affect ionic bonding and material properties. **Exercises:** Try similar calculations with different ions to solidify understanding!
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