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does the density of an element have anything to do with the number of elections?

i have to work with a partner and his reasoning is this:

"the higher the atomic number, the greater the density because the atomic number is made up of protons so the more protons there are, the closer the electrons are attracted forming a more denser atom"

whereas my reasoning is this:

if I were to give a relationship between density of an element and atomic number, I'd talk about the density equation D = m/v and talk about how the greater the atomic number is, the more protons you'd have, resulting in a higher atomic mass. then I'd compare each element 1 mol and go from there.

Please tell me is my reasoning not correct? Or perhaps my partner is not correct? or perhaps we are both incorrect?

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