High School

What is the density of gold if 97.3 cm\(^3\) has a mass of 1880 grams?

If you have a gold chain that weighs 80.7 grams, what is the volume of the chain?

Answer :

Final answer:

The density of gold is calculated to be 19.3 g/cm^3. Using this density, one can find out the volume of a gold chain weighing 80.7 g to be approximately 4.18 cm^3.

Explanation:

The question is related to the physical properties of materials, specifically density, which is defined as mass per unit volume. The density of a substance can be calculated using the formula Density=Mass/Volume.

To calculate the density of gold, we can use the given mass and volume: Density = 1880 g / 97.3 cm^3 = 19.3 g/cm^3.

Now, to find the volume of the gold chain, we can rearrange the density formula to Volume=Mass/Density. Using the density of gold we computed and the provided mass of the chain (80.7g), the volume of the chain is Volume = 80.7 g / 19.3 g/cm^3 = 4.18 cm^3.

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