Problem: Gold is alloyed (mixed) with other metals to increase its hardness in making jewelry.Consider a piece of gold jewelry that weighs 9.60 g and has a volume of 0.670 cm3 . The jewelry contains only gold and silver, which have densities of 19.3 g/cm3 and 10.5 g/cm3, respectively. If the total volume of the jewelry is the sum of the volumes of the gold and silver that it contains, calculate the percentage of gold (by mass) in the jewelry.

🤓 Based on our data, we think this question is relevant for Professor Morkowchuk's class at UVA.

FREE Expert Solution

We’re asked to calculate the percentage of gold (by mass) in the jewelry if the total volume of the jewelry is the sum of the volumes of the gold and silver that it contains.


Recall that mass percent is given by the equation:


mass percent=mass componenttotal mass×100


Since we're given the mass of the jewelry, then we can solve for the mass percent of gold using the equation:


mass percent=mass goldmass jewelry×100

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Problem Details

Gold is alloyed (mixed) with other metals to increase its hardness in making jewelry.

Consider a piece of gold jewelry that weighs 9.60 g and has a volume of 0.670 cm3 . The jewelry contains only gold and silver, which have densities of 19.3 g/cm3 and 10.5 g/cm3, respectively. If the total volume of the jewelry is the sum of the volumes of the gold and silver that it contains, calculate the percentage of gold (by mass) in the jewelry.

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Density concept. You can view video lessons to learn Density. Or if you need more Density practice, you can also practice Density practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Morkowchuk's class at UVA.