Taking into account the definition of density, the density of the metal is 16.33 [tex]\frac{g}{mL}[/tex].
Definition of density
Density is a quantity that allows us to measure the amount of mass in a certain volume of a substance. Then, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:
[tex]density=\frac{mass}{volume}[/tex]
From this expression it can be deduced that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.
Density of the metal in this case
In this case, you know that:
- Mass= 34.3 g
- Volume= 2.1 mL
Replacing in the definition of density:
[tex]density=\frac{34.3 g}{2.1 mL}[/tex]
Solving:
density= 16.33 [tex]\frac{g}{mL}[/tex]
In summary, the density of the metal is 16.33 [tex]\frac{g}{mL}[/tex].
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