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:

$\overline{){\mathbf{mass}}{\mathbf{}}{\mathbf{percent}}{\mathbf{=}}\frac{\mathbf{mass}\mathbf{}\mathbf{component}}{\mathbf{total}\mathbf{}\mathbf{mass}}{\mathbf{\times}}{\mathbf{100}}}$

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

$\overline{){\mathbf{mass}}{\mathbf{}}{\mathbf{percent}}{\mathbf{=}}\frac{\mathbf{mass}\mathbf{}\mathbf{gold}}{\mathbf{mass}\mathbf{}\mathbf{jewelry}}{\mathbf{\times}}{\mathbf{100}}}$

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 cm^{3} . The jewelry contains only gold and silver, which have densities of 19.3 g/cm^{3} and 10.5 g/cm^{3}, 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.

Frequently Asked Questions

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.