1. Greek scientist called Archimedes was asked to check the purity of the gold in a crown. He did this by comparing the density of the crown with the density of pure gold. a) Describe how he could have measured the density of an irregular shaped object as a crown.

Suppose Archimedes weighed the crown (we'll say 2700 grams)

Then he put the crown on a string and weighed the crown in water and found its weight to be 2560 g.

That means that an equivalent volume of water weighed

2700 - 2560 = 140 grams

Then the density of the crown is 2700 / 140 = 19.3

So this is the density of pure gold and the crown could be considered to be made of pure gold with no other metals in its composition.

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