Final answer:
To find the number of copper atoms in 5.00 g of copper wire, divide the mass by the atomic mass of copper to get moles, then multiply by Avogadro's number to convert to atoms, resulting in approximately 4.74 × 1022 atoms.
Step-by-step explanation:
To determine how many copper atoms are in 5.00 g of copper wire, you can use the molar mass of copper and Avogadro's number. Given that the atomic mass of copper is 63.54 g/mol, first, you calculate the number of moles of copper in 5.00 g. Next, you use Avogadro's number (6.022 × 1023 atoms/mol) to convert moles to the number of atoms.
Calculation:
5.00 g Cu ÷ 63.54 g/mol = 0.0787 mol Cu
0.0787 mol Cu × 6.022 × 1023 atoms/mol = 4.74 × 1022 Cu atoms
Therefore, there are approximately 4.74 × 1022 copper atoms in 5.00 g of copper wire.