Taking into account the definition of density, the volume of an object with a mass of 65 g and a density of 5.45 \(\frac{g}{mL}\) is 11.93 mL.
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. That is, the density of a material is the ratio of its mass to its volume.
The expression to calculate the density is:
\(density= \frac{mass}{volume}\)
In this case, you know that:
- mass= 65 g
- volume= 5.45 \(\frac{g}{mL}\)
Replacing in the definition of density:
\(5.45 \frac{g}{mL} = \frac{65 g}{volume}\)
Solving:
5.45 \(\frac{g}{mL}\)× volume= 65 g
volume= 65 g÷ 5.45 \(\frac{g}{mL}\)
volume= 11.93 mL
Finally, the volume of an object with a mass of 65 g and a density of 5.45 \(\frac{g}{mL}\) is 11.93 mL.
Learn more about density:
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