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QUESTION

# A 1/4 inch thick lead sheet is used for protection from medical x-rays. If a single lead atom has a diameter 350 pm, how many atoms thick is the lead sheet?

1/4 "inch" = 6.35 xx 10^-3 m.

1 "pm" = 1 xx 10^-12 m

We assume that the lead atoms are close packed. Therefore we divide the sheet thickness by the diameter of of a single lead atom.

(6.35xx10^-3cancelm)/(350xx10^-12cancelm) = Something large. The difficulty with doing these problems is getting such a large number that intuitively you have no idea how feasible the number is.

PS can you help this gentleman, . There are 454 g in 1 "pound".