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 at

Question

Gre4nikov

3 months ago

11

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 at

oms are there in the sheet?

Physics

1 answer:

Ostrovityanka [3.2K] · Answer 1 · 2026-02-18T22:20:23+03:00

Response:

719

Clarification:

Conversion details

1 picometer (pm) corresponds to $1 × 10^{-12}$ meters

1 micrometer equals $1 × 10^{-6}$ meters

To calculate the quantity of layers, we will divide the total leaf thickness by the thickness of a single atom, thus dividing tex]0.125 × 10^{-6}[/tex] meters by $174 × 10^{-12}$ meters, resulting in approximately

$\frac {0.125× 10^{-6}}{174\times 10^{-12}}=718.3908045\approx 719$

Hence, there are roughly 719 sheets