2 2. Archimedes is said to have discovered the buoyancy rules, which are called Archimedes'principle, when he was asked by the King of Syracuse in Sicily to determine whether a crownwas pure gold, as the goldsmith said, or was an alloy. At that time no chemical means wereknown for settling the question without destroying the crown. Archimedes was struck with theidea of how to do so while taking a bath, and he jumped out of his tub and ran through the streetsyelling "Eureka" ("I have found it"). The story goes that he was so excited that he did not botherto get dressed before doing this.Suppose that in testing the crown Archimedes found that in air it had a weight of 5.0 N and aweight of 4.725 N in water. Assuming that the crown was made of gold or of silver or of an alloyof both, what percentage by volume was the gold? Assume that the density of gold-silver alloysis Palloy= Psilver + (vol.% gold). (Pgold Psilver)/100. The densities of gold and silverare 19.3 and 10.5 g/cm³, respectively

Given: Weight of crown in air = 5 N Weight of crown in water = 4.725 N

2. Archimedes is said to have discovered the buoyancy rules, which are called Archimedes' principle, when he was asked by the King of Syracuse in Sicily to determine whether a crown was pure gold, as the goldsmith said, or was an alloy. At that time no chemical means were known for settling the question without destroying the crown. Archimedes was struck with the idea of how to do so while taking a bath, and he jumped out of his tub and ran through the streets yelling "Eureka" ("l have found it"). The story goes that he was so excited that he did not bother to get dressed before doing this. Suppose that in testing the crown Archimedes found that in air it had a weight of 5.0 N and a weight of 4.725 N in water. Assuming that the crown was made of gold or of silver or of an alloy of both, what percentage by volume was the gold? Assume that the density of gold-silver alloys is Palloy = Psilver + (vol.% gold) · (Pgold Psilver)/100. The densities of gold and silver are 19.3 and 10.5 g/cm³, respectively

2. Archimedes is said to have discovered the buoyancy rules, which are called Archimedes' principle, when he was asked by the King of Syracuse in Sicily to determine whether a crown was pure gold, as the goldsmith said, or was an alloy. At that time no chemical means were known for settling the question without destroying the crown. Archimedes was struck with the idea of how to do so while taking a bath, and he jumped out of his tub and ran through the streets yelling "Eureka" ("l have found it"). The story goes that he was so excited that he did not bother to get dressed before doing this. Suppose that in testing the crown Archimedes found that in air it had a weight of 5.0 N and a weight of 4.725 N in water. Assuming that the crown was made of gold or of silver or of an alloy of both, what percentage by volume was the gold? Assume that the density of gold-silver alloys is Palloy = Psilver + (vol.% gold) · (Pgold Psilver)/100. The densities of gold and silver are 19.3 and 10.5 g/cm³, respectively