Total number of atoms in the sample is the sum of number of atoms of all the elements present in the sample.
Number of gold, atoms in
=
atoms (given)
From the formula of compound that is it is clear that the number of potassium and gold are same whereas those of carbon and nitrogen are 2 times of them.
So, the number of atoms of each element is:
Number of potassium, atoms in
=
atoms
Number of carbon, atoms in
=
atoms =
Number of nitrogen, atoms in
=
atoms =
Total number of atoms in = Number of gold,
atoms+Number of potassium,
atoms +Number of carbon,
atoms + Number of nitrogen,
atoms
Total number of atoms in =
Total number of atoms in =
atoms
Hence, the total number of atoms in is
atoms.