Coulomb Energy in the KI Molecule: Solving for Separation Distance

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SUMMARY

The discussion focuses on calculating the separation distance required for the KI molecule to achieve sufficient Coulomb energy to dissociate into K+ and I- ions. The ionization energy of potassium is established at 4.34 eV, while the electron affinity of iodine is 3.06 eV. The confusion arises around the application of the Coulomb energy formula, specifically En = -Z2 (13.6 eV) / n2, and its relevance to the problem. Ultimately, the user resolves their confusion regarding the definition and application of Coulomb energy in this context.

PREREQUISITES
  • Understanding of ionization energy and electron affinity
  • Familiarity with Coulomb's law and electrostatics
  • Knowledge of the formula En = -Z2 (13.6 eV) / n2
  • Basic concepts of molecular ion formation
NEXT STEPS
  • Research the relationship between ionization energy and electron affinity in ionic compounds
  • Explore Coulomb's law in detail, focusing on its application in molecular interactions
  • Study the concept of potential energy in the context of ionic bonds
  • Learn about the factors affecting the radius of ions in ionic compounds
USEFUL FOR

Chemistry students, physicists, and anyone studying ionic compounds and molecular interactions will benefit from this discussion.

mateomy
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The ionization of potassium is 4.34 eV; the electron affinity of iodine is 3.06 eV. At what separation distance will the KI molecule gain enough Coulomb energy to overcome the energy needed to form the K^+ and I^- ions?

I'm looking at the solution to this problem and I'm not understanding how they get the Coulomb energy. Is it just the
<br /> E_n=\frac{-Z^2 (13.6eV)}{n^2}<br />
equation? I'm not getting the same numbers they're getting so I think I'm confused on the definition of Coulomb energy. Can someone clarify it for me. I understand the Coulomb repulsion/attraction is what I've seen over and over again from electrostatics...but I don't see how to tie that into this problem. Specifically because I don't know the radius of the particular ions.

They're getting values of 3.06 and 4.34 eV

Please and Thanks.
 
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Ugh, nevermind. My brain is fried...I figured it out.
 

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