Answer:
20.268 grams of calcium metal contains the same number of atoms as 12.16 g of magnesium.
Explanation:
Atomic mass of magnesium= 24 g/mol
Mass of magnesium given = 12.16 g
Moles of magnesium= [tex]\frac{12.16 g}{24 g/mol}=0.5067 mol[/tex]
1 mol = [tex]N_A=6.022\times 10^{23} [/tex] atoms/ molecules, ions
Number of atoms of magnesium in 0.5067 moles of magnesium:
[tex]0.5067 \times 6.022\times 10^{23}=3.051\times 10^{23} atoms[/tex]
Calcium metal contains the same number of atoms:
Moles of calcium = n
[tex]3.051\times 10^{23} atoms=n\times 6.022\times 10^{23}[/tex]
n = 0.5067 mol
Atomic mass of calcium = 40 g/mol
Mass of 0.5067 moles of calcium:
0.5067 mol × 40 g/mol = 20.268 g
