If 1 g of sodium carbon contains x atoms, what will be the number of atoms in 1 g of magnesium ? `(C= 12u, Mg = 24 u)`

Explanation

The ratio of atoms in carbon and magnesium will be same as the ratio of their moles. So, first of all we should find out:
(i) moles of carbon in 1 gram of carbon, and
(ii) moles of magnesium in 1 grams of magnesium
This can be done as follows.
(a) 1 mole of carbon = Gram atomic mass of carbon
`= 12` grams
Now, 12g of carbon `= 1` mole
So, `1 g` of carbon `= 1/12` mole
Thus, we have `1/12` mole of carbon element and it contains x atoms of carbon. Now, since an equal number of moles of all moles of all the elements contains an equal number of atoms, so `1/12` moles of magnesium will also contain x atom s of magnesium. We will now calculate the moles of magnesium in 1 grams of magnesium.
(b) 1 mole of magnesium = Grams atomic mass of magnesium
`= 24` grams
Now, `24 g` of magnesium = 1 mole
So, 1g of magnesium `= 1/24` mole
We know that : `1/12` mole of magnesium contains `= x` atoms
So, `1/24` mole of magnesium contains `= (x xx 12)/(24)` atoms
`= x/2` atoms
Thus, if 1 gram of carbon contains x atoms, then 1 gram of magnesium will have `x/2` atoms in it.