Respuesta :
Answer:
No, the metal is not pure gold because density is equal to mass divided by volume and in this case we end up with about 15.3, making this metal less dense than gold.
Explanation:
The definition of density allows to find the answer of whether the metal is gold:
- As the density of the material is less than the gold density . This is not pure gold
Density is defined as the mass of a body divided by its volume, it is a very important physical characteristic of the body since it is invariant.
[tex]\rho = \frac{m}{V}[/tex]
Where ρ is the density, m the mass and V the volume
They indicate that the object's mass is 980 g and it has a volume of 64 cm³, ask if it is made of pure gold.
The systems of units are systems of measurements to exchange magnitude without inconveniences, the most used system is the intentional system of measurements (SI), we re-educate the magnitudes to this system
m = 980 gr ([tex]\frac{1kg}{1000g}[/tex] ) = 0.980 kg
V = 64 cm³ [tex]( \frac{1m}{100 cm} )^3[/tex] = 64 10⁻⁶ m³
let's find the density of the object
ρ = [tex]\frac{0.980 }{64 \ 10^{-6} }[/tex]
ρ = 15.3 10³ kg/m³
The tabulated gold density is 19.3 10³ kg/m³
We can see that the density for the body is less than the gold density.
In conclusion with the definition of density we can find the answer for if the metal is gold is:
- As the density of the material is less than the gold density. This is not pure gold
Learn more here: brainly.com/question/3074403