J.R. S. answered 01/11/20
Ph.D. University Professor with 10+ years Tutoring Experience
Using dimensional analysis and the knowledge that there are 6.02x1023 atoms in a mole (Avogadro's number)....
0.345 moles x 6.02x1023 atoms/mole = 2.077x1023 atoms
66% of these are gold, so we have 2.077x1023 atoms x 0.66 = 1.37x1023 gold atoms