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?
- 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 !!!
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 :-))
- 1 decade ago
i am not even in middle school. wow that is hard!