Bohr energy equation and Ionization energy

[sunbunny]

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

 

[lkh1986]

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.

 

[Blueshift5]

for reaching out for help with this problem. The Bohr energy equation and the ionization energy equation are both important concepts in atomic physics. The Bohr energy equation is used to calculate the energy levels of electrons in a hydrogen atom, while the ionization energy equation is used to calculate the energy required to remove an electron from an atom.

To modify the Bohr energy equation to find the ionization energy of hydrogen in kJ/mol, we can use the following steps:

1. Convert the units of the Bohr energy equation from Joules to kJ by multiplying it by 1000. This will give us the energy in kJ/mol.

2. Substitute the value of Z (atomic number) for hydrogen, which is 1, into the equation.

3. For the value of n (principal quantum number), we need to use the value of n=1 for the ground state of hydrogen and n=∞ for the ionization state. This will give us the energy difference between the two states.

4. Finally, we can use the ionization energy equation (IE= Einfinity - Eground state) to find the ionization energy of hydrogen in kJ/mol.

I hope this helps you get started on solving the problem. Remember to always check your units and make sure they are consistent throughout the calculation. Good luck!