The molar mass of gold, which is approximately 197 g/mol, represents the mass of one mole of gold atoms.
To find the approximate mass of one atom of gold, you need to divide the molar mass by Avogadro's number, which is approximately 6.022 × 10^23 mol⁻¹. Avogadro's number represents the number of atoms in one mole of a substance.
So, the approximate mass of one atom of gold can be calculated as follows:
Mass of one atom of gold ≈ Molar mass of gold / Avogadro's number
Mass of one atom of gold ≈ 197 g/mol / (6.022 × 10^23 mol⁻¹)
Performing the calculation gives an approximate mass of one atom of gold:
Mass of one atom of gold ≈ 3.27 × 10⁻²² g
Therefore, the approximate mass of one atom of gold is 3.27 × 10⁻²² grams.