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# Can't figure this one out?

Gold can be hammered into extremely thin sheets called gold leaf. If a 193-mg piece of gold (density = 19.32 g/cm3) is hammered into a sheet measuring 2.4 1.0 ft, what is the average thickness of the sheet in meters?

### 2 Answers

- L. A. L.Lv 61 decade agoFavorite Answer
This is one of those annoying conversion problems better relegated to math than chem, but apparently you were given it as a chem problem...so let's tackle it.

You need some conversion factors:

1g = 1000mg...so your piece weighs 0.123g

1ft = 30.5cm...so your sheet is

...L = 2.4ft x 30.5cm/ft =73.2cm

...W = 1.0ft = 30.5cm

Volume of the piece = 0.193g / 19.3g/cm^3 = 0.0100cm^3, which must be the same as V of the sheet.

LATER: ANOTHER OF THOSE 'TECHNICAL DIFFICULTY' NOTICES WHICH PLAGUE THIS DAMN SITE...THIS WILL BE THE LAST ANSWER I GIVE UNTIL I AM ASSURED THAT Y!A HAS GOT ITS ACT TOGETHER !!!

To continue...

V = L x W x T

0.0100cm^3 = 73.2cm x 30.5cm x T

T = 4.48x10^-6cm...but the answer is to be in meters.

1m = 100cm = 10^2cm, so

T = 4.48x10^-6cm x 1m / 10^2 cm = 4.48x10^-8 m

To finish this, the 1.0 and 2.4 in problem dictate that your answer can have only two significant figures...

4.5x10^-8 meters (final answer)

Repeat thie above for practice...and to check my math :-))