A sample of gold (Au) has a mass of 35.12 g.
A. Calculate the number of moles of gold (Au) in the sample. Show work.
B. Calculate the number of atoms of gold (Au) in the sample. Show work.
A. To calculate the number of moles of gold in the sample, we use the equation:
moles = mass / molar mass
The molar mass of gold is 196.97 g/mol. Therefore:
moles = 35.12 g / 196.97 g/mol
moles = 0.178 moles
So there are 0.178 moles of gold in the sample.
B. To calculate the number of atoms of gold in the sample, we use Avogadro's number, which is 6.02 x 10^23 atoms/mol. Therefore:
number of atoms = moles x Avogadro's number
number of atoms = 0.178 moles x 6.02 x 10^23 atoms/mol
number of atoms = 1.07 x 10^23 atoms
So there are 1.07 x 10^23 atoms of gold in the sample.