Length generated by all atoms contained in 1 gram of iron

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SUMMARY

The calculation of the distance generated by all iron atoms contained in 1 gram results in approximately 300 billion kilometers. This was derived using an atomic radius of 140 E-10 meters and Avogadro's number (6 E23 atoms per 56 grams of iron). The formula applied was (2 x 140 E-10 x 6 E23) / 56, confirming that the resulting figure is accurate, reflecting the minuscule size of atoms and their vast quantity in a small mass of iron.

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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
 
Physics news on Phys.org
No mistake, the number is huge as atoms are tiny - you get an extremely long, extremely thin line.
 

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