3.47 x [tex]10^{23}[/tex] atoms of gold have mass of 113.44 grams.
Explanation:
Data given:
number of atoms of gold = 3.47 x [tex]10^{23}[/tex]
mass of the gold in given number of atoms = ?
atomic mass of gold =196.96 grams/mole
Avagadro's number = 6.022 X [tex]10^{23}[/tex]
from the relation,
1 mole of element contains 6.022 x [tex]10^{23}[/tex] atoms.
so no of moles of gold given = [tex]\frac{3.47 X 10^{23} }{6.022 X 10^{23} }[/tex]
0.57 moles of gold.
from the relation:
number of moles = [tex]\frac{mass}{atomic mass of 1 mole}[/tex]
rearranging the equation,
mass = number of moles x atomic mass
mass = 0.57 x 196.96
mass = 113.44 grams
thus, 3.47 x [tex]10^{23}[/tex] atoms of gold have mass of 113.44 grams
