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.
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
10th Edition
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
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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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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