Taking into account the definition of avogadro's number, 1.0063×10²⁷ atoms of copper are contained in 103 kg of copper.
Avogadro's Number is called the number of particles that make up a substance (usually atoms or molecules) and that can be found in the amount of one mole of said substance. Its value is 6.023×10²³ particles per mole. Avogadro's number applies to any substance.
The molar mass of copper, that is, the amount of mass that copper contains in one mole, is 63.55 g/mole. So 103 kg of copper (which is equivalent to 103000 g of the element) are contained in:
[tex]103000gramsx\frac{1 mole}{63.55 moles} =1620.77 moles[/tex]
Then you can apply the following rule of three: If 1 mole of copper contains 6.023 × 10²³ atoms, then 1620.77 moles contains how many atoms of copper?
amount of atoms of copper= (6.023×10²³ atoms ×1670.77 moles)÷ 1 mole
amount of atoms of copper= 1.0063×10²⁷ atoms
Finally, 1.0063×10²⁷ atoms of copper are contained in 103 kg of copper.
Learn more about Avogadro's Number:
