Sunday, January 24, 2010

If a crown weighing 4 lb 13 oz displaces 186 mL water when placed in a bath tub is the crown made of pure gold?

note: d = 19.3 g/cm^3If a crown weighing 4 lb 13 oz displaces 186 mL water when placed in a bath tub is the crown made of pure gold?
4lb 13 oz = 2.18291328 kg


186 mL = 186 cm^3





2.1829328 kg = 2182.9328 g





density of gold is 19.3 g/cm^3, and 2182.9328/186 is 11.7361978 g/cm^3 so it鈥檚 not gold.If a crown weighing 4 lb 13 oz displaces 186 mL water when placed in a bath tub is the crown made of pure gold?
Convert the given mass to grams, and divide by 186mL, if it's close to gold's density (19.3 g/mL), then it probably is gold.


Based on the information given, the density of the crown is 11.74 g/mL so no, it's not pure gold.
4 pounds X 454 grams/ pounds + 13 oz X 28.3 grams/ oz = grams





divide that # 0f grams by 186cc for the density of the crown





you do the math

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