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A metal alloy pendant is 90.5% gold and 9.5% silver. Its density is 15.2 g/cm\(^3\). The pendant is added to a graduated cylinder filled with 38.1 mL of water, causing the volume to rise to 71.6 mL.

What is the mass of silver contained in this pendant?

Answer :

Here, the mass of silver contained in the pendant is 48.455 g. Metal alloy is a combination of two or more metallic elements. It is used to make jewelry, coins, and a variety of other things.

A metal alloy pendant is made up of 90.5% gold and 9.5% silver. The density of the pendant is given as 15.2 g/cm³. A graduated cylinder is used to measure the volume of water displaced when the pendant is added to it. The volume of the displaced water is 71.6 mL – 38.1 mL = 33.5 mL (the volume of the pendant).To calculate the mass of the silver contained in the pendant, we must first determine its volume, which we already know to be 33.5 mL. Then, we must determine its mass.

We can use the formula for density to do this: density = mass / volumeRearranging the formula gives us the mass:density x volume = mass. Substituting the known values:15.2 g/cm³ x 33.5 mL = 509 gWe know that the total mass of the pendant is 509 g, and that it is made up of 9.5% silver. This means that the mass of silver is 0.095 x 509 g = 48.455 g. Therefore, the mass of silver contained in the pendant is 48.455 g.

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