Length generated by all atoms contained in 1 gram of iron

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The calculation of the distance generated by all iron atoms in 1 gram results in an astonishing length of approximately 300 billion kilometers. This figure arises from using an atomic radius of 140 picometers and Avogadro's number for iron. The distance reflects the minuscule size of atoms, leading to a remarkably long and thin line when juxtaposed. The discussion confirms that the large number is accurate, emphasizing the vast scale of atomic dimensions. Such calculations illustrate the incredible properties of matter at the atomic level.
joebox
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Hi,

I tried to calculate the distance resulting from Na iron atoms contained in 1 g. scaled in meters and by juxtaposing them in a single thread (segment).

I did the following calculation with:
Atomic radius : 140 E-10 meters
Na : 6 E23 atoms in 56 g. of iron

=> ( 2 x 140 E-10 x 6 E23 )/56 = 3 E14 meters...

In other words, 300 milliard KM with only 1 gram of iron... so I must have made a (or several) mistakes

Thank you for your help !

Jean-Marc
 
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No mistake, the number is huge as atoms are tiny - you get an extremely long, extremely thin line.
 
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