Final answer:
The number of atoms in 74.867g of titanium, divide the mass by the molar mass to find the number of moles and then multiply by Avogadro's number.
Step-by-step explanation:
To calculate the number of atoms in 74.867g of titanium, you first need to determine the number of moles of titanium. Since the molar mass of titanium is given as 47.867g/mol, you can divide the mass of titanium (74.867g) by its molar mass to find the number of moles.
Number of moles = Mass of titanium / Molar mass of titanium
Number of moles = 74.867g / 47.867g/mol = 1.56 mol
Next, you can use Avogadro's number (6.022x10^23 atoms/mol) to calculate the number of atoms in 1.56 mol of titanium.
Number of atoms = Number of moles x Avogadro's number
Number of atoms = 1.56 mol x 6.022x10^23 atoms/mol = 9.40x10^23 atoms
Therefore, there are approximately 9.40x10^23 atoms in 74.867g of titanium.