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archimedes was giving the task of determining whether a crown commis king was ma

ID: 985383 • Letter: A

Question

archimedes was giving the task of determining whether a crown commis king was made of pure gold or a mixture of silver and gold. What volume of water is displaced by 1 kg of zinc? What volume of water is displaced by 1 kg of aluminum? The density of gold is 19.3 g/cm^3 A crown displaces 23 ml nd weighs 347.5 g. Is it made of pure gold? Why/Why not? Get the barge under the bridge arge is carrying a load of gravel along a river. it approache tain realizes that the top of the pile of grave is not goving Is captain orders the crew to quickly shovel gravel from the od decision? Why / Why not?

Explanation / Answer

11)

density of Zinc = 7.14 g/cm^3

mass of zinc = 1 kg = 1000 g

volume of zinc = 1000 / 7.14 = 140 cm^3 = 140 mL

volume of water displaced = 140 mL

12)

density of aluminium = 2.7 g/cm^3

mass of aluminium = 1 kg = 1000 g

volume of aluminium = 1000 / 2.7 = 370 cm^3 = 370 mL

volume of water displaced = 370 mL

13)

density of gold = 19.3 g/cm^3

volume displaced = 23 mL

mass of crown = 347.5 g

density = mass/volume

              = 347.5 /23

               = 15.1 g/ cm3

it is lesser density than gold . so it is not pure