Bohr energy equation and Ionization energy

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SUMMARY

The discussion focuses on calculating the ionization energy of hydrogen using the Bohr energy equation, specifically En = -2.178 x 10^-18 (Z^2 / n^2). To find the ionization energy (IE), participants suggest substituting the initial quantum number n = 1 and the final quantum number n = infinity into the Bohr equation. The difference between the energy values obtained represents the ionization energy for one hydrogen atom, which must then be multiplied by Avogadro's constant to convert it to kJ/mol.

PREREQUISITES
  • Understanding of the Bohr model of the atom
  • Familiarity with quantum numbers
  • Knowledge of Avogadro's constant
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the derivation of the Bohr energy equation
  • Learn how to calculate ionization energy for other elements
  • Explore the concept of quantum numbers in detail
  • Investigate the significance of Avogadro's constant in chemical calculations
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Students in chemistry, physicists studying atomic models, and anyone interested in understanding ionization energy calculations.

sunbunny
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Hey, I was wondering if anyone could help me out with this. I need to take the Bohr energy equation ( En= -2.178 x 10^-18) (Z^2 /n^2) and the Inoization energy equation ( IE= Einfinity - Eground state). I need to somehow modify the bohr energy equation that can be used to find the inonization energy of hydrogen in kJ/mol.

I'm completely stuck so if anyone could give me some pointers on how to start this problem that would be awesome!

Thank you
 
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For the ionization energy of hydrogen, it means that n (initial) is 1 and n (final) is infinity. Substitute those 2 values into Bohr equation to get 2 values. (1 over infinity = 0) Then the difference of the 2 values is the ionization energy for 1 hydrogen atom . Finally, remember to multiply the ionization energy for 1 hydrogen atom with Avogadro constant to get the ionization energy in unit KJ/mol.
 

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