Question

What mass of calcium metal contains the same number of atoms as 12.16 g of magnesium

Answer 1

20.268 grams of calcium metal contains the same number of atoms as 12.16 g of magnesium.

Step-by-step explanation:

Atomic mass of magnesium= 24 g/mol

Mass of magnesium given = 12.16 g

Moles of magnesium=
`(12.16 g)/(24 g/mol)=0.5067 mol`

1 mol =
`N_A=6.022* 10^(23)` atoms/ molecules, ions

Number of atoms of magnesium in 0.5067 moles of magnesium:

`0.5067 * 6.022* 10^(23)=3.051* 10^(23) atoms`

Calcium metal contains the same number of atoms:

Moles of calcium = n

`3.051* 10^(23) atoms=n* 6.022* 10^(23)`

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

Answer 2

For the answer to the question above, 20.05 g Ca is around 12.16 g Mg.
Since 24.31 g Mg is about twice 12.16 g Mg, then the amount of Ca would double as well, so it would be about 40.1 g Ca. I hope this helps