For a potassium-chlorine ion pair, our textbook (problem 2.19) tells us that the attractive energy EA (in eV) for this pair is: EA= -1.436/r where r is the distance (in nm) between the centers of the two ions. The repulsive energy ER (in eV) for this pair is: ER= 5.86 x 10-6/r9 The attractive energy comes from Coulomb’s law where the repulsive energy is provided by an empirical equation(i.e., it fits data rather than it is derived based on a model). (a.) Using only the information provided above, calculate the equilibrium separation distance between K1+ and Cl1- in nanometers(ro). (b.) Based on your answer to (a.), calculate the so-called binding (or bonding) energy in eV. This is the “depth” of the energy well.

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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For a potassium-chlorine ion pair, our textbook (problem 2.19) tells us that the attractive energy EA (in eV) for this pair is:

EA= -1.436/r

where r is the distance (in nm) between the centers of the two ions. The repulsive energy ER (in eV) for this pair is:

ER= 5.86 x 10-6/r9

The attractive energy comes from Coulomb’s law where the repulsive energy is provided by an empirical equation(i.e., it fits data rather than it is derived based on a model).

(a.) Using only the information provided above, calculate the equilibrium separation distance between K1+ and Cl1- in nanometers(ro).

(b.) Based on your answer to (a.), calculate the so-called binding (or bonding) energy in eV. This is the “depth” of the energy well.

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