To determine the number of atoms in 0.24 g of magnesium, we need to use the concept of molar mass and Avogadro's number.
Find the molar mass of magnesium (Mg): The molar mass of magnesium is the mass of one mole of magnesium atoms. The atomic mass of magnesium (Mg) is approximately 24.31 grams per mole (g/mol). Therefore, the molar mass of magnesium is 24.31 g/mol.
Convert the given mass of magnesium to moles: To convert grams of magnesium to moles, we divide the given mass by the molar mass. Number of moles (n) = mass (m) / molar mass (M) Number of moles = 0.24 g / 24.31 g/mol ≈ 0.00988 mol
Determine the number of atoms using Avogadro's number: Avogadro's number (Nₐ) represents the number of particles (atoms, molecules, ions, etc.) in one mole of a substance. It is approximately 6.022 x 10^23 particles/mol.
Number of atoms = Number of moles × Avogadro's number Number of atoms = 0.00988 mol × (6.022 x 10^23 atoms/mol) Number of atoms ≈ 5.947 x 10^21 atoms
Therefore, there are approximately 5.947 x 10^21 atoms in 0.24 g of magnesium.