Step 1: Let's transform mg into grams.
To do that, we need to divide 465.65 by 1000:
0.46565 g
Step 2: Transform grams to moles using the following formula: moles = mass/molar mass
molar mass of gold is 196.96657 g/mol (look at the periodic table)
moles = 0.46565/196.96657
moles = 2.3641 x 10^-3 moles
Step 3: to transform to atoms, we need to use avogadro's constant:
6.022 x 10^23 atoms --- 1 mol
x --- 2.3641 x 10^-3 moles
x = 2.3641 x 10^-3 * 6.022 x 10^23
x = 1.4237 x 10^21 atoms
Answer: 2.3641 x 10^-3 moles and 1.4237 x 10^21 atoms