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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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