Respuesta :
Taking into account the definition of density, the mass of an object with a volume of 2.0 mL and a density of 28.8 [tex]\frac{g}{mL}[/tex] is 57.6 grams.
But first you must know the definition of density. 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 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.
In this case, you know that:
- Density= 28.8 g/mL
- Volume= 2 mL
Replacing in the definition of density:
[tex]28.8 \frac{g}{mL} =\frac{mass}{2 mL}[/tex]
Solving:
mass= 28.8 [tex]\frac{g}{mL}[/tex] ×2 mL
mass= 57.6 g
In summary, the mass of an object with a volume of 2.0 mL and a density of 28.8 [tex]\frac{g}{mL}[/tex] is 57.6 grams.
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