Respuesta :
Explanation:
sample of gold has a mass of 96.5 g and a volume of 5.00 cm3. The density of gold is a. 0518 g/cm3.
Taking into account the definition of density, the density of gold is 19.3 [tex]\frac{g}{cm^{3} }[/tex]
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 the relationship between the weight (mass) of a substance and the volume that the same substance occupies.
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:
- mass= 96.5 g
- volume= 5 cm³
Replacing in the definition of density:
[tex]density=\frac{96.5 g}{5 cm^{3} }[/tex]
Solving:
density= 19.3 [tex]\frac{g}{cm^{3} }[/tex]
In summary, the density of gold is 19.3 [tex]\frac{g}{cm^{3} }[/tex]
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