QuestionDetails: Gold, which has a mass of 19.32 g for each cubic centimeter ofv

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QuestionDetails:
Gold, which has a mass of 19.32 g for each cubic centimeter ofvolume, is the most ductile metal and can be pressed into a thinleaf or drawn out into a long fiber. (a) If a sample of gold, with a mass of77.36 g, is pressed into a leaf of7.000 µm thickness, what is the areaof the leaf? QuestionDetails:
Gold, which has a mass of 19.32 g for each cubic centimeter ofvolume, is the most ductile metal and can be pressed into a thinleaf or drawn out into a long fiber. (a) If a sample of gold, with a mass of77.36 g, is pressed into a leaf of7.000 µm thickness, what is the areaof the leaf? m2

(b) If, instead, the gold is drawn out into a cylindrical fiber ofradius 2.000 µm, what is the lengthof the fiber?
m

Explanation / Answer

first find the volume of the gold: .     77.36 grams * 1 cc / 19.32grams =     4.004141 cc = 4.004141 x 10-6 m3 . then for part a:     volume = area *thickness .                             4.004141 x 10-6    = area * 7.00 x10-6 .        area =    0.572  m2 . for part b:    volume = length * r2 .                   4.004141 x 10-6 = L * *(2.000 x 10-6 )2 .          L =    3.186 x 105  m

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