A chemist encounters an unknown metal. They drop the metal into a graduated cylinder containing water, and find the volume change is 4.1 mL. If the metal weighs 4.5 g, what is the density of the metal in g / m * L ?

Respuesta :

Taking into account the definition of density, the density of the metal is 1.097 g/mL.

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.

The expression for the calculation of density is:

density= mass÷ volume

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.

Density in this case

In this case, you know that:

  • Mass= 4.5 g
  • Volume= 4.1 mL

Replacing in the definition of density:

density= 4.5 g÷ 4.1 mL

Solving:

density= 1.097 g/mL

In summary, the density of the metal is 1.097 g/mL.

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