Final answer:
To determine the purity of the gold chain, we can use Archimedes' principle. By calculating the volume of water displaced and the density of the gold chain, we can determine its purity. The purity of the gold chain is 60.1%.
Step-by-step explanation:
To determine the purity of the gold chain, we can use the principle of Archimedes' principle. The apparent weight of an object submerged in a fluid is equal to the weight of the fluid displaced by the object. In this case, the apparent weight of the gold chain when immersed in water is 23.075 g. This means that the chain displaces 25.25 g - 23.075 g = 2.175 g of water.
The density of water is known to be 1 g/cm³. So, we can calculate the volume of water displaced using the formula:
Volume of water displaced = mass of water displaced / density of water = 2.175 g / 1 g/cm³ = 2.175 cm³.
Since the volume of the chain is the same as the volume of water displaced, the density of the gold chain is given by:
Density of gold chain = mass of chain / volume of chain = 25.25 g / 2.175 cm³ = 11.6 g/cm³.
The density of pure gold is known to be 19.3 g/cm³. Using this information, we can calculate the purity of the gold chain:
Purity = (Density of gold chain / Density of pure gold) * 100% = (11.6 g/cm³ / 19.3 g/cm³) * 100% = 60.1%.