# Length generated by all atoms contained in 1 gram of iron

• joebox
In summary, the length generated by all atoms contained in 1 gram of iron can be calculated by dividing the mass of 1 gram of iron by the mass of a single iron atom. This length is affected by temperature due to thermal expansion, but can be measured using precise instruments. Compared to other materials, the length of 1 gram of iron is relatively small, but can still vary slightly depending on various factors.
joebox
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

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

## 1. What is the length generated by all atoms contained in 1 gram of iron?

The length generated by all atoms contained in 1 gram of iron can be calculated by dividing the mass of 1 gram of iron (0.001 kilograms) by the mass of a single iron atom (9.27 x 10^-26 kilograms). This results in approximately 1.08 x 10^22 atoms. Assuming the atoms are arranged in a straight line, the length would be approximately 3.22 x 10^-4 meters or 0.322 millimeters.

## 2. How is the length generated by all atoms in 1 gram of iron affected by temperature?

The length generated by all atoms in 1 gram of iron is affected by temperature due to thermal expansion. As the temperature increases, the atoms in iron vibrate more vigorously, causing them to take up more space and increase the length of the material. This effect is small, but can still be measured with precise instruments.

## 3. Can the length generated by all atoms in 1 gram of iron be measured?

Yes, the length generated by all atoms in 1 gram of iron can be measured using precise instruments such as an atomic force microscope. This tool uses a tiny probe to scan the surface of a material and can measure changes in length at the atomic level.

## 4. How does the length generated by all atoms in 1 gram of iron compare to other materials?

The length generated by all atoms in 1 gram of iron is relatively small compared to other materials. For example, 1 gram of gold would have a length of approximately 2.89 x 10^-4 meters, which is slightly longer than iron. However, some materials, such as carbon nanotubes, can have lengths of up to 1 micrometer per gram.

## 5. Is the length generated by all atoms in 1 gram of iron a constant value?

No, the length generated by all atoms in 1 gram of iron is not a constant value. It can vary slightly depending on factors such as temperature, pressure, and the arrangement of atoms within the material. However, these variations are very small and may not be noticeable in everyday situations.

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