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The mass of a single strontium atom is 1.46×10-22 grams. How many strontium atoms would there be in a sample of strontium with a volume of 178 cm3 if the density of strontium is 2.60 g/cm3?

Sagot :

Taking into account the definition of density, 3.17×10²⁴ atoms is present in a sample of strontium with a volume of 178 cm³ if the density of strontium is 2.60 g/cm³.

Definition of density

Density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space. So, 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

Mass of strontium

In this case, you know that:

  • Density= 2.60 g/cm³
  • Volume= 178 cm³

Replacing in the definition of density:

2.60 g/cm³= mass÷ 178 cm³

Solving:

mass= 2.60 g/cm³× 178 cm³

mass= 462.8 g

Number of atoms

The number of atoms in 462.8 g sample of strontium can be obtained using the following rule of three: If 1.46×10⁻²² grams is the mass of a single strontium atom, then 462.8 grams are contained in how many strontium atoms?

462.8 g of strontium = (462.8 g× 1 atom)÷ 1.46×10⁻²² g

462.8 g of strontium = 3.17×10²⁴ atoms

In summary, 3.17×10²⁴ atoms is present in a sample of strontium with a volume of 178 cm³ if the density of strontium is 2.60 g/cm³.

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