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?

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  • 1 decade ago
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    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 :-))

  • 1 decade ago

    i am not even in middle school. wow that is hard!

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