By definition of density, the correct answer is option J: the density of the mineral sample is 6.7 [tex]\frac{g}{cm^{3} }[/tex].
In first place, you have to know that density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space. In other words, density is an intensive property of matter defined as the ratio of an object's mass to its volume.
For its calculation, the density is defined as the quotient between the mass of a body and the volume that occupies:
[tex]density=\frac{mass}{volume}[/tex]
In this way, substances with a higher density have a greater quantity of matter in a certain volume than substances with a lower density.
In this case, you know:
- mass= 14.7 g
- volume= 2.2 cm³
Replacing in the definition of density:
[tex]density=\frac{14.7 g}{2.2 cm^{3} }[/tex]
Solving:
density= 6.7 [tex]\frac{g}{cm^{3} }[/tex]
In summary, the correct answer is option J: the density of the mineral sample is 6.7 [tex]\frac{g}{cm^{3} }[/tex].
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