# Gold is alloyed with other metals to increase its hardness in making jewelery. You have a piece of jewelery containing only gold and silver, which have pure densities of 19.3 g/cm3 and 10.5 g/cm3 respectively. You measure the piece of jewelery's volume to be 1.25 cm3 and its mass to be 18.9 g. Assuming the total volume of the jewelery is the sum of the volumes of the gold and silver it contains, what is the mass percent of gold in the piece?

Question
Asked Jan 17, 2020
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Gold is alloyed with other metals to increase its hardness in making jewelery. You have a piece of jewelery containing only gold and silver, which have pure densities of 19.3 g/cmand 10.5 g/cm3 respectively. You measure the piece of jewelery's volume to be 1.25 cm3 and its mass to be 18.9 g. Assuming the total volume of the jewelery is the sum of the volumes of the gold and silver it contains, what is the mass percent of gold in the piece?

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Step 1

Given:

Density of pure gold = 19.3 g/cm3

Density of pure silver = 10.5 g/cm3

Volume of piece of jewellery = 1.25 cm3

Mass of piece of jewellery = 18.9 g.

Step 2

Calculation for Volume of gold:

Let “V” be the volume of gold

Volume of silver = total volume – volume of gold

Step 3

Calculation for ma...

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