How Many Atoms Are There in a Single Cell?

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The discussion centers on estimating the number of atoms in a human cell, highlighting the complexity of the calculation. An initial approach suggests dividing the average adult weight by the number of cells to derive a rough estimate of cell weight. The conversation emphasizes identifying the most common atoms in cells, such as carbon, hydrogen, oxygen, and nitrogen, and their relative abundances and weights. A mathematical inequality is proposed to establish an upper bound on the number of atoms per cell, using the average cell volume and atomic radius. However, the discussion acknowledges the limitations of this method due to the spatial considerations of molecular structures and the gaps between molecules, underscoring the crude nature of the estimates.
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I know there are trillions of cells in an adult human body but how many atoms are in each cell?
 
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Very crude: What does the average adult weigh, divide by the number of cells. What are the most common atoms in a cell and what are their relative abundancies, what do they weigh on average. Divide the weight of a cell by the average weight of the atoms represented in a cell.. and there you get your number :)

Maybe someone already figured it out and you can find it on Google :)
 
Even cruder, but it should be an upper bound on the number of atoms in a cell:
Let V be the average volume of a cell.
Then we should have the inequality for the number n atoms in a cell:
n\leq\frac{V}{\frac{4}{3}\pi{R}^{3}}

Where R is an average value for an atomic radius
 
But how much space is taken up by the 3D structure of a molecule, and how much space is there between molecules..
 
That's why it's such an awfully crude upper bound :smile:
 
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