Answer:
2.98 × 10^22 atoms
Step-by-step explanation:
To determine the number of atoms in 3.14 g of copper, we need to use the atomic mass of copper and Avogadro's number.
The atomic mass of copper (Cu) is 63.55 g/mol, which means that one mole of copper atoms has a mass of 63.55 g. Avogadro's number, which represents the number of particles (atoms or molecules) in one mole of a substance, is 6.022 × 10^23 particles/mol.
Using these values, we can first calculate the number of moles of copper in 3.14 g:
moles of Cu = mass of Cu / atomic mass of Cu
moles of Cu = 3.14 g / 63.55 g/mol
moles of Cu = 0.0495 mol
Then, we can calculate the number of atoms in 0.0495 mol of copper:
number of atoms = moles of Cu × Avogadro's number
number of atoms = 0.0495 mol × 6.022 × 10^23 atoms/mol
number of atoms = 2.98 × 10^22 atoms
Therefore, there are approximately 2.98 × 10^22 atoms in 3.14 g of copper.