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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
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Answer:

Density of the gold nugget, [tex]\rho=19.28\ g/cm^3[/tex]

Explanation:

It is given that,

Mass of the gold nugget, m = 32.4 g

Volume of the gold nugget [tex]V=1.68\ cm^3[/tex]

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 :

[tex]\rho=\dfrac{m}{V}[/tex]

[tex]\rho=\dfrac{32.4\ g}{1.68\ cm^3}[/tex]

[tex]\rho=19.28\ g/cm^3[/tex]

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

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