How large would a human body be at the universe's critical density?

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Chaos' lil bro Order
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Greetings,

I was thinking about Cosmology and Omega-Matter. The critical density of the Universe is equal to about 6 Hydrogen atoms/ meter cubed. If we were to smear a human body out to fit it to this density, how big a volume would the human body smear out to be?

Assume, the human body occupies a volume of ~1 meter cubed

Assume, the average Mol. in the human body is 6,6-Carbon

Can anyone figure this out? It seems like a fun way to gain perspective on just how undense the Universe is.



P.S. Really our best WMAP data says the Universe's matter density is closer to 0.27 x 6 Hydrogen atoms. If we exclude dark matter, this number gets even smaller and becomes 0.04 x 6 Hydrogen atoms/ meter cubed.
 
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