The key to this question is understanding what the word "mole" (here abbreviated "mol") means in chemistry.
The word "mole" refers to a specific number of atoms or molecules: a tiny bit more than 6.022*1023 of them.
So one mole of gold contains 6.022*1023 atoms of gold.
One mole of benzene contains 6.022*1023 molecules of benzine.
0.320 mol of gold (or lead, or uranium for that matter) will therefore contain 0.320 times 6.022*1023 atoms, which is 1.93 * 1023.
Similarly, 0.320 mol of benzene will contain 1.93 * 1023 molecules, for the same reason - a mole is just a specific number of atoms or molecules.
But this is not the most amazing fact about the mole, or why chemists use it as a unit of measure so much...
- that fascinating property will have to wait for another question, ...or another lesson.