The molar mass of gold (Au) is 196.97 grams per mole (g/mol). This means that one mole of gold atoms has a mass of 196.97 grams.
Avogadro's number is the number of particles (atoms, molecules, ions, etc.) in one mole of a substance. It is equal to 6.022 × 10^23 particles per mole.
Now, we can use the molar mass of gold and Avogadro's number to find the mass of 175 atoms of gold:
Number of atoms of gold = 175
Mass of 1 atom of gold = 196.97 g / 6.022 × 10^23 atoms
Mass of 175 atoms of gold = 175 × 196.97 g / 6.022 × 10^23 atoms ≈ 5.74 × 10^(-21) grams
Therefore, the mass of 175 atoms of gold is approximately 5.74 × 10^(-21) grams.
