QuestionDetails: Gold, which has a mass of 19.32 g for each cubic centimeter ofv
ID: 1734166 • Letter: Q
Question
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 mRelated Questions
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