?

General Chemistry

Free Version

Upgrade subject to access all content

Moderate

Density of an Object

CHEM-$AD8WI

The density of gold is 19.30 $g/{ cm }^{ 3 }$. Somebody wants to sell you a piece of jewelry, which is claimed to be made of 24K solid gold (without any hidden empty space in it).

This piece of jewelry is certified to weigh 1.0060 ounces, which is found to be accurate. You follow an expert's suggestion by putting this piece of jewelry in a container full of $4 { }^{ o }C$ distilled water and collecting all of the displaced water in a tared beaker.

Then you weigh the collected water on an analytical balance and find its mass to be 2.5430 grams. The expert also tells you that 1 ounce of gold is supposed to weigh 31.103 grams.

Does the density of this piece of jewelry match that of 24K gold?

What conclusion can you arrive at?

A

The density of this piece of jewelry cannot be found for the given information. Therefore, one cannot tell if this piece of jewelry is made of 24K gold or not.

B

The density of this piece of jewelry is 12.304 $g/{ cm }^{ 3 }$, lower than that of 24k gold (pure gold). Obviously, this piece of jewelry is not made of 24K gold.

C

The density of this piece of jewelry is 19.300 $g/{ cm }^{ 3 }$, which matches that of gold. Obviously, this piece of jewelry is made of 24K gold.

D

The density of this piece of jewelry is 243.471 $g/{ cm }^{ 3 }$, which is much higher than that of gold. Obviously, this piece of jewelry is not made of 24K gold.