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## Homework Statement

If the total energy needed to remove an electron from a hydrogen atom is 24.6 eV, what is the distance that the electron is from the nucleus?

## Homework Equations

I'm not really sure....I know that the answer is [tex]r = 5.85\times10^-11[/tex].

## The Attempt at a Solution

As you can see, I know the answer, but I'm just not sure how to get to it. So far, I have thought of applying this process:

[tex]E_{e} = \frac{kq_{1}q_{2}}{r}[/tex]

Technically, I get the answer if I sub in:[tex]q_{1}=q_{2}=e[/tex], [tex]E_{e}=24.6e[/tex], and solve for r.

Is this the correct process? I'm not really sure about the rationale behind it...lol I'm almost positive that there is another way.

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