Question

The density (in g/cm3) of a gold nugget that has a volume of 1.68 cm3 and a mass of 32.4 g is __________.

Answer 1

Density of the gold nugget,
`\rho=19.28\ g/cm^3`

Step-by-step explanation:

It is given that,

Mass of the gold nugget, m = 32.4 g

Volume of the gold nugget
`V=1.68\ cm^3`

We need to find the density of the gold nugget. The total mass divided by total volume of an substance is called its density. Its formula is given by :

`\rho=(m)/(V)`

`\rho=(32.4\ g)/(1.68\ cm^3)`

`\rho=19.28\ g/cm^3`

So, the density of the metal ball is
`19.28\ g/cm^3`. Hence, this is the required solution.

Answer 2

The density of a substance is extensive even though its unit components, mass and volume, are intensive properties. At a certain temperature and pressure, the density of a substance is constant. It is the ratio of the substance's mass to volume.

Density = Mass/Volume
Density = 32.4 g/1.68 cm³
Density = 19.29 g/cm³