How Did Archimedes Determine the Purity of Gold

Archimedes was asked by the King to determine the purity of Gold used to make his crown. From these two numbers he deduced the volume fraction of copper f added.

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In one of the most famous scientific anecdotes in all of history the king of.

. According to the legend Hiero II of Syracuse asked Archimedes to determine without damaging it if a crown he has ordered was really made of gold. Archimedes measured the weight of the crown in air W_a. Archimedes knew the density of pure gold but did not have a way to measure the volume of something as irregularly shaped as a crown.

Its density is 1932 grams. Archimedes was asked by the King to determine the purity of Gold used to make his crown. Once King Hieron of Syracuse gave him a crown made of gold and told him to test its purity without causing any damage to it.

What is the density of gold. So by applying the Archimedes principle which states that upward buoyant force exerted on a body immersed in water is equal to the weight of fluid it displaces he determined the level of purity of crown. The king suspected that the crown was alloyed with silver.

Archimedes Principle is also known as the physical law of buoyancy. It states that a body when wholly or partially immersed in liquid experiences an upward thrust which is equal to the. The assumption was that the goldsmith may have added some copper along with gold.

According to Archimedes principle the buoyant force would therefore be greater than for a crown made of pure gold. Archimedes was given the task to determine the purity of the gold crown made for King Hiero II. This is how he devised a method for determining the volume of an object with an irregular shape.

See full answer below. He dipped the crown in water and noted the weight of water it displaced. In the process he discovered the way to find out the density of gold and successfully proved that silver was mixed with the gold crown.

He realized he could determine the gold content of the crown by measuring the water it would displace against the amount of water displaced by a lump of gold weighing the same as the crown. Then he measured the apparent weight in water Ww. He knew that since he could measure the crowns volume all he had to do was discover its weight in order to calculate its density and hence its purity.

He compared it with that of pure gold. Purity of gold in the kings crown Archimedes determine after discovering the Archimedes. On the opposite disk he then placed an ingot of.

Archimedes first measured the mass of the crown m 0 044 kg and then its apparent mass when the crown was immersed in water m 0409 kg. If the two sides remained balanced then the crown was made of solid gold. Using both masses he determined the.

He figured that by immersing it in a vessel of water and measuring the before after water marks he could determine volume. Though it is not possible to know with certainty how Archimedes made his discovery one likely possibility is that he took a balance with the crown on one side and an equal mass of gold on the other and then submerged the entire balance in water. There is an interesting and humorous story behind the discovery of this Archimedes Principle.

He suspected it was made of a cheaper metal. Archimedes therefore took a beam balance and placed the crown on the disk. Archimedes was so exuberant about his discovery that he ran down the streets of Syracuse naked shouting Eureka which meant Ive found it in Greek.

Archimedes determined the purity of gold by determining its buoyancy. The complex problem set Archimedes thinking seriously. The assumption was that the goldsmith may have added some copper along with gold.

Archimedes measured the weight of the crown in air Wa.

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