Bohr energy equation and Ionization energy

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To find the ionization energy of hydrogen using the Bohr energy equation, start by substituting n=1 for the ground state and n=infinity for the final state into the equation En = -2.178 x 10^-18 (Z^2/n^2). This will yield two energy values, where the final energy at n=infinity is zero. The ionization energy is then calculated as the difference between these two values. To convert the ionization energy for one hydrogen atom to kJ/mol, multiply the result by Avogadro's constant. This approach effectively modifies the Bohr equation to determine the ionization energy.
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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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