The atomic number of an element is the number of protons found in one atom of the element. In order to determine the total number of protons, we must find the number of atoms present in the gold. We do this by first calculating the moles:
moles = mass / molecular mass
moles = 10.8 / 197
moles = 0.055
Next, we know that one mole of substance contains 6.02 x 10²³ atoms. So the atoms are:
0.055 * 6.02 x 10²³
There are 3.31 x 10²² atoms
Each atom contains 79 protons. The total protons are:
79 * 3.31 x 10²²
There are a total of 2.61 x 10²⁴ protons