Answer: Option (b) is the correct answer.
Explanation:
It is given that mass of Mg is 97.22 g and it is known that molar mass of Mg is 24.305 g/mol.
So, calculate the number of moles as follows.
No. of moles = [tex]\frac{mass given in grams}{Molar mass}[/tex]
= [tex]\frac{97.22 g}{24.305 g/mol}[/tex]
= 4 mol
Also, it is known that 1 mole has [tex]6.023 \times 10^{23}[/tex] atoms/mol. Therefore, calculate the number of atoms in 4 mol as follows.
[tex]4 mol \times 6.023 \times 10^{23} atoms/mol[/tex]
= [tex]24.08 \times 10^{23}[/tex] atoms
or, = [tex]2.408 \times 10^{23}[/tex] atoms
Thus, we can conclude that there are [tex]2.408 \times 10^{23}[/tex] atoms in 97.22 grams of Mg.