Gold, which has a density of 19.32 g/cm3, is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber. (a) If a sample of gold with a mass of 4.895 g, is pressed into a leaf of 7.203 μm thickness, what is the area of the leaf? (b) If, instead, the gold is drawn out into a cylindrical fiber of radius 2.000 μm, what is the length of the fiber?
Isn't the geometrical shape of the gold leaf important? Is it pressed into a circle, a square, a rectangle....etc.
Density=Mass/ Volume
Volume=Mass/Density
V=4.895 / 19.32
V=0.253364 cubic cm
Volume of a cylinder.
V=Pi. r^2. L. I'm assuming that the radius is 2,000 micrometers =0.2 cm
0.253364=3.141592 . 0.2^2 . L
0.253364=3.141592 x 0.04 x L
L=~2 cm
