contestada

A sheet of gold leaf has a thickness of 0.125 micrometer. A gold atom has a radius of 174pm. Approximately how many layers of atoms are there in the sheet?

Respuesta :

Answer:

719

Explanation:

Conversion

1 picometer (pm) is equivalent to [tex]1 × 10^{-12}[/tex] meter

1 micrometer is equivalent to [tex]1 × 10^{-6}[/tex] meter

To find the number of layers, we divide the overal leaf thickness by the thickness of one atom hence dividing tex]0.125 × 10^{-6}[/tex] meter by [tex]174 × 10^{-12}[/tex] meter we get that the number of sheets will be as follows

[tex]\frac {0.125× 10^{-6}}{174\times 10^{-12}}=718.3908045\approx 719[/tex]

Therefore, they are approximately 719 sheets