Taking into account the definition of density, the mass of a substance with a volume of 150 cm³ and a density of 1.5 [tex]\frac{g}{cm^{3} }[/tex] is 225 grams.
What is 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.
Mass of the substance in this case
In this case, you know that:
- Density= 1.5 [tex]\frac{g}{cm^{3} }[/tex]
- Volume= 150 cm³
Replacing in the definition of density:
[tex]1.5 \frac{g}{cm^{3} } =\frac{mass}{150 cm^{3} }[/tex]
Solving:
mass= 1.5 [tex]\frac{g}{cm^{3} }[/tex] ×150 cm³
mass= 225 g
In summary, the mass of a substance with a volume of 150 cm³ and a density of 1.5 [tex]\frac{g}{cm^{3} }[/tex] is 225 grams.
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