Pure gold (Au) can be made into extremely thin sheets called gold leaf…?
Suppose that 50.00 kg of gold is made into gold leaf having an area of 3620 meters squared. If the density of pure gold is 19.30 grams/mole how thick , in cm, is the gold leaf?
Could someone explain how to get this for me? I’m stuck in a rut second guessing every idea I get. I know I have to find Volume, but converting the units of measure is giving me a hard time. Help please!
The density of gold is actually 19.3 grams per cubic centimeter, not
mole, so we can find the volume of the gold by dividing the mass
(given as 50,000 grams) by the density. 50000/19.3 = 2590 cc.
The volume is found by multiplying the area by the thickness, so we
can find the thickness by dividing the volume by the area. The area
is 3620 square meters, and there are 10,000 square cm. in a square
meter, so the area is 36,200,000 or 3.62 * 10**7 sq. cm.
If we divide the volume in cc by the area in sq. cm. we can find the
thickness in centimeters. 25.9 * 10**2 / 3.62 * 10**7 = 7.155 * 10**-5
The thickness is 7.155 * 10**-5 centimeter. (or 715.5 nanometers).
If you keep everything in terms of centimeters, that is volume in cc
and area in sq. cm. then the thickness will be in cm.
Hope this answers your question.
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